Angeli, David; Grüne, Lars Dissipativity in infinite horizon optimal control and dynamic programming. (English) Zbl 07822047 Appl. Math. Optim. 89, No. 2, Paper No. 42, 64 p. (2024). MSC: 49-XX 90C39 PDFBibTeX XMLCite \textit{D. Angeli} and \textit{L. Grüne}, Appl. Math. Optim. 89, No. 2, Paper No. 42, 64 p. (2024; Zbl 07822047) Full Text: DOI arXiv OA License
Schießl, Jonas; Ou, Ruchuan; Faulwasser, Timm; Baumann, Michael H.; Grüne, Lars Near-optimal performance of stochastic economic MPC. arXiv:2403.15159 Preprint, arXiv:2403.15159 [math.OC] (2024). BibTeX Cite \textit{J. Schießl} et al., ``Near-optimal performance of stochastic economic MPC'', Preprint, arXiv:2403.15159 [math.OC] (2024) Full Text: arXiv OA License
Pioch, Kilian; Kriecherbauer, Thomas; Margaliot, Michael; Grüne, Lars Model order reduction for the TASEP Master equation. arXiv:2402.10234 Preprint, arXiv:2402.10234 [cond-mat.stat-mech] (2024). MSC: 34F05 93A15 BibTeX Cite \textit{K. Pioch} et al., ``Model order reduction for the TASEP Master equation'', Preprint, arXiv:2402.10234 [cond-mat.stat-mech] (2024) Full Text: arXiv OA License
Köhler, Johannes; Zeilinger, Melanie N.; Grüne, Lars Stability and performance analysis of NMPC: detectable stage costs and general terminal costs. (English) Zbl 07794455 IEEE Trans. Autom. Control 68, No. 10, 6114-6129 (2023). MSC: 93-XX PDFBibTeX XMLCite \textit{J. Köhler} et al., IEEE Trans. Autom. Control 68, No. 10, 6114--6129 (2023; Zbl 07794455) Full Text: DOI arXiv
Eichfelder, Gabriele; Grüne, Lars; Krügel, Lisa; Schießl, Jonas Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC. (English) Zbl 07786395 Comput. Optim. Appl. 86, No. 3, 1081-1116 (2023). MSC: 90Cxx PDFBibTeX XMLCite \textit{G. Eichfelder} et al., Comput. Optim. Appl. 86, No. 3, 1081--1116 (2023; Zbl 07786395) Full Text: DOI arXiv OA License
Ernst, Andreas; Grüne, Lars; Rieger, Janosch A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems. (English) Zbl 1526.93006 J. Glob. Optim. 86, No. 2, 521-543 (2023). MSC: 93B03 90C05 93D20 93C05 93C55 PDFBibTeX XMLCite \textit{A. Ernst} et al., J. Glob. Optim. 86, No. 2, 521--543 (2023; Zbl 1526.93006) Full Text: DOI arXiv
Ou, Ruchuan; Schießl, Jonas; Baumann, Michael Heinrich; Grüne, Lars; Faulwasser, Timm A Polynomial Chaos Approach to Stochastic LQ Optimal Control: Error Bounds and Infinite-Horizon Results. arXiv:2311.17596 Preprint, arXiv:2311.17596 [math.OC] (2023). BibTeX Cite \textit{R. Ou} et al., ``A Polynomial Chaos Approach to Stochastic LQ Optimal Control: Error Bounds and Infinite-Horizon Results'', Preprint, arXiv:2311.17596 [math.OC] (2023) Full Text: arXiv OA License
Schießl, Jonas; Baumann, Michael H.; Faulwasser, Timm; Grüne, Lars On the relationship between stochastic turnpike and dissipativity notions. arXiv:2311.07281 Preprint, arXiv:2311.07281 [math.OC] (2023). BibTeX Cite \textit{J. Schießl} et al., ``On the relationship between stochastic turnpike and dissipativity notions'', Preprint, arXiv:2311.07281 [math.OC] (2023) Full Text: arXiv OA License
Schießl, Jonas; Ou, Ruchuan; Faulwasser, Timm; Baumann, Michael Heinrich; Grüne, Lars Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control. arXiv:2309.05422 Preprint, arXiv:2309.05422 [math.OC] (2023). MSC: 93E20 49N10 93E15 BibTeX Cite \textit{J. Schießl} et al., ``Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control'', Preprint, arXiv:2309.05422 [math.OC] (2023) Full Text: arXiv OA License
Bold, Lea; Grüne, Lars; Schaller, Manuel; Worthmann, Karl Data-driven MPC with stability guarantees using extended dynamic mode decomposition. arXiv:2308.00296 Preprint, arXiv:2308.00296 [math.OC] (2023). BibTeX Cite \textit{L. Bold} et al., ``Data-driven MPC with stability guarantees using extended dynamic mode decomposition'', Preprint, arXiv:2308.00296 [math.OC] (2023) Full Text: arXiv OA License
Katz, Rami; Kriecherbauer, Thomas; Grüne, Lars; Margaliot, Michael On the gain of entrainment in a class of weakly contractive bilinear control systems with applications to the master equation and the ribosome flow model. arXiv:2307.03568 Preprint, arXiv:2307.03568 [math.DS] (2023). BibTeX Cite \textit{R. Katz} et al., ``On the gain of entrainment in a class of weakly contractive bilinear control systems with applications to the master equation and the ribosome flow model'', Preprint, arXiv:2307.03568 [math.DS] (2023) Full Text: arXiv OA License
Sperl, Mario; Saluzzi, Luca; Grüne, Lars; Kalise, Dante Separable approximations of optimal value functions under a decaying sensitivity assumption. arXiv:2304.06379 Preprint, arXiv:2304.06379 [math.OC] (2023). BibTeX Cite \textit{M. Sperl} et al., ``Separable approximations of optimal value functions under a decaying sensitivity assumption'', Preprint, arXiv:2304.06379 [math.OC] (2023) Full Text: arXiv OA License
Schießl, Jonas; Ou, Ruchuan; Faulwasser, Timm; Baumann, Michael Heinrich; Grüne, Lars Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems. arXiv:2303.15959 Preprint, arXiv:2303.15959 [math.OC] (2023). BibTeX Cite \textit{J. Schießl} et al., ``Pathwise turnpike and dissipativity results for discrete-time stochastic linear-quadratic optimal control problems'', Preprint, arXiv:2303.15959 [math.OC] (2023) Full Text: DOI arXiv OA License
Köhler, Matthias; Krügel, Lisa; Grüne, Lars; Müller, Matthias A.; Allgöwer, Frank Transient Performance of MPC for Tracking. arXiv:2303.10006 Preprint, arXiv:2303.10006 [math.OC] (2023). BibTeX Cite \textit{M. Köhler} et al., ``Transient Performance of MPC for Tracking'', Preprint, arXiv:2303.10006 [math.OC] (2023) Full Text: DOI arXiv OA License
Grüne, Lars; Krügel, Lisa; Müller, Matthias A. Multiobjective strict dissipativity via a weighted sum approach. (English) Zbl 1505.93055 Syst. Control Lett. 170, Article ID 105396, 10 p. (2022). MSC: 93B45 93C10 93C55 PDFBibTeX XMLCite \textit{L. Grüne} et al., Syst. Control Lett. 170, Article ID 105396, 10 p. (2022; Zbl 1505.93055) Full Text: DOI arXiv
Faulwasser, Timm; Grüne, Lars; Humaloja, Jukka-Pekka; Schaller, Manuel The interval turnpike property for adjoints. (English) Zbl 1500.49011 Pure Appl. Funct. Anal. 7, No. 4, 1187-1207 (2022). MSC: 49K20 49K40 93B05 93B07 PDFBibTeX XMLCite \textit{T. Faulwasser} et al., Pure Appl. Funct. Anal. 7, No. 4, 1187--1207 (2022; Zbl 1500.49011) Full Text: arXiv Link
Faulwasser, Timm; Grüne, Lars Turnpike properties in optimal control: an overview of discrete-time and continuous-time results. (English) Zbl 1495.49019 Trélat, Emmanuel (ed.) et al., Numerical control. Part A. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 23, 367-400 (2022). MSC: 49M99 49J15 93D20 49K40 PDFBibTeX XMLCite \textit{T. Faulwasser} and \textit{L. Grüne}, Handb. Numer. Anal. 23, 367--400 (2022; Zbl 1495.49019) Full Text: arXiv Link
Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. (English) Zbl 1524.65506 Comput. Math. Appl. 116, 71-81 (2022). MSC: 65M60 65N30 35J20 76D05 49K20 65M06 76M10 76M20 65M15 65M12 93B25 65Y05 80A19 49M41 PDFBibTeX XMLCite \textit{J. Andrej} et al., Comput. Math. Appl. 116, 71--81 (2022; Zbl 1524.65506) Full Text: DOI arXiv
Grüne, L.; Meurer, T. Finite-dimensional output stabilization for a class of linear distributed parameter systems – a small-gain approach. (English) Zbl 1492.93150 Syst. Control Lett. 164, Article ID 105237, 15 p. (2022). MSC: 93D25 93C20 93C05 93B52 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{T. Meurer}, Syst. Control Lett. 164, Article ID 105237, 15 p. (2022; Zbl 1492.93150) Full Text: DOI arXiv
Grüne, Lars; Schaller, Manuel; Schiela, Anton Efficient model predictive control for parabolic PDEs with goal oriented error estimation. (English) Zbl 1492.35391 SIAM J. Sci. Comput. 44, No. 1, A471-A500 (2022). MSC: 35Q93 93C20 93B52 65M60 65M06 65N30 65M50 49K40 49N10 PDFBibTeX XMLCite \textit{L. Grüne} et al., SIAM J. Sci. Comput. 44, No. 1, A471--A500 (2022; Zbl 1492.35391) Full Text: DOI arXiv
Ofir, Ron; Kriecherbauer, Thomas; Grüne, Lars; Margaliot, Michael On the gain of entrainment in the \(n\)-dimensional ribosome flow model. arXiv:2210.10404 Preprint, arXiv:2210.10404 [math.OC] (2022). BibTeX Cite \textit{R. Ofir} et al., ``On the gain of entrainment in the $n$-dimensional ribosome flow model'', Preprint, arXiv:2210.10404 [math.OC] (2022) Full Text: arXiv OA License
Grüne, Lars; Philipp, Friedrich; Schaller, Manuel Strict dissipativity for generalized linear-quadratic problems in infinite dimensions. arXiv:2202.08178 Preprint, arXiv:2202.08178 [math.OC] (2022). BibTeX Cite \textit{L. Grüne} et al., ``Strict dissipativity for generalized linear-quadratic problems in infinite dimensions'', Preprint, arXiv:2202.08178 [math.OC] (2022) Full Text: arXiv OA License
Grüne, Lars (ed.); Morris, Kirsten (ed.) Mini-workshop: Analysis of data-driven optimal control. Abstracts from the mini-workshop held May 9–15, 2021 (hybrid meeting). (English) Zbl 1506.00079 Oberwolfach Rep. 18, No. 2, 1209-1257 (2021). MSC: 00B05 00B25 49-06 49N35 47D06 49L12 93B52 93D09 PDFBibTeX XMLCite \textit{L. Grüne} (ed.) and \textit{K. Morris} (ed.), Oberwolfach Rep. 18, No. 2, 1209--1257 (2021; Zbl 1506.00079) Full Text: DOI
Grüne, Lars; Krügel, Lisa Local turnpike analysis using local dissipativity for discrete time discounted optimal control. (English) Zbl 1485.49032 Appl. Math. Optim. 84, Suppl. 2, 1585-1606 (2021). MSC: 49K40 91B52 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{L. Krügel}, Appl. Math. Optim. 84, 1585--1606 (2021; Zbl 1485.49032) Full Text: DOI arXiv
Fleig, Arthur; Grüne, Lars Strict dissipativity analysis for classes of optimal control problems involving probability density functions. (English) Zbl 1478.35207 Math. Control Relat. Fields 11, No. 4, 935-964 (2021). MSC: 35Q84 35Q93 60G15 49N35 93C15 PDFBibTeX XMLCite \textit{A. Fleig} and \textit{L. Grüne}, Math. Control Relat. Fields 11, No. 4, 935--964 (2021; Zbl 1478.35207) Full Text: DOI
Grüne, Lars; Müller, Matthias A.; Kellett, Christopher M.; Weller, Steven R. Strict dissipativity for discrete time discounted optimal control problems. (English) Zbl 1481.49009 Math. Control Relat. Fields 11, No. 4, 771-796 (2021). MSC: 49J21 93C55 93D20 PDFBibTeX XMLCite \textit{L. Grüne} et al., Math. Control Relat. Fields 11, No. 4, 771--796 (2021; Zbl 1481.49009) Full Text: DOI
Yegorov, Ivan; Dower, Peter M.; Grüne, Lars Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit-time optimal control. II: Numerical approach. (English) Zbl 1472.93076 Optim. Control Appl. Methods 42, No. 5, 1410-1440 (2021). MSC: 93C15 49K15 49L12 93D15 93D30 PDFBibTeX XMLCite \textit{I. Yegorov} et al., Optim. Control Appl. Methods 42, No. 5, 1410--1440 (2021; Zbl 1472.93076) Full Text: DOI
Yegorov, Ivan; Dower, Peter M.; Grüne, Lars Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit-time optimal control. I: Theory. (English) Zbl 1472.93075 Optim. Control Appl. Methods 42, No. 5, 1385-1409 (2021). MSC: 93C15 49K15 49L12 93D15 93D30 PDFBibTeX XMLCite \textit{I. Yegorov} et al., Optim. Control Appl. Methods 42, No. 5, 1385--1409 (2021; Zbl 1472.93075) Full Text: DOI arXiv
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. (English) Zbl 1471.93084 Math. Control Relat. Fields 11, No. 3, 579-599 (2021). MSC: 93B45 93C20 93-08 PDFBibTeX XMLCite \textit{L. Grüne} et al., Math. Control Relat. Fields 11, No. 3, 579--599 (2021; Zbl 1471.93084) Full Text: DOI
Braun, Philipp; Grüne, Lars; Kellett, Christopher M. (In-)stability of differential inclusions. Notions, equivalences, and Lyapunov-like characterizations. (English) Zbl 1482.34002 SpringerBriefs in Mathematics; BCAM SpringerBriefs. Cham: Springer; Bilbao: BCAM – Basque Center for Applied Mathematics (ISBN 978-3-030-76316-9/pbk; 978-3-030-76317-6/ebook). ix, 116 p. (2021). Reviewer: Aurelian Cernea (Bucureşti) MSC: 34-02 34A60 34A12 34D20 34H15 PDFBibTeX XMLCite \textit{P. Braun} et al., (In-)stability of differential inclusions. Notions, equivalences, and Lyapunov-like characterizations. Cham: Springer; Bilbao: BCAM -- Basque Center for Applied Mathematics (2021; Zbl 1482.34002) Full Text: DOI
Grüne, Lars; Schaller, Manuel; Schiela, Anton Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs. (English) Zbl 1467.49037 ESAIM, Control Optim. Calc. Var. 27, Paper No. 56, 28 p. (2021). MSC: 49Q12 49K40 93D20 35K55 35Q93 PDFBibTeX XMLCite \textit{L. Grüne} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 56, 28 p. (2021; Zbl 1467.49037) Full Text: DOI arXiv
Grüne, Lars; Guglielmi, Roberto On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. (English) Zbl 1462.49058 Math. Control Relat. Fields 11, No. 1, 169-188 (2021). MSC: 49N10 49K15 49J15 93D20 93C15 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{R. Guglielmi}, Math. Control Relat. Fields 11, No. 1, 169--188 (2021; Zbl 1462.49058) Full Text: DOI
Gruene, Lars; Kriecherbauer, Thomas; Margaliot, Michael Random attraction in the TASEP model. (English) Zbl 1465.37011 SIAM J. Appl. Dyn. Syst. 20, No. 1, 65-93 (2021). MSC: 37A60 39A50 37H30 37H10 PDFBibTeX XMLCite \textit{L. Gruene} et al., SIAM J. Appl. Dyn. Syst. 20, No. 1, 65--93 (2021; Zbl 1465.37011) Full Text: DOI arXiv
Grüne, Lars; Muff, David; Schaller, Manuel Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems. arXiv:2104.10072 Preprint, arXiv:2104.10072 [math.OC] (2021). BibTeX Cite \textit{L. Grüne} et al., ``Conditions for strict dissipativity of infinite-dimensional generalized linear-quadratic problems'', Preprint, arXiv:2104.10072 [math.OC] (2021) Full Text: arXiv OA License
Wu, Chengshuai; Gruene, Lars; Kriecherbauer, Thomas; Margaliot, Michael Behavior of Totally Positive Differential Systems Near a Periodic Solution. arXiv:2101.06027 Preprint, arXiv:2101.06027 [math.DS] (2021). BibTeX Cite \textit{C. Wu} et al., ``Behavior of Totally Positive Differential Systems Near a Periodic Solution'', Preprint, arXiv:2101.06027 [math.DS] (2021) Full Text: arXiv OA License
Coron, Jean-Michel; Grüne, Lars; Worthmann, Karl Model predictive control, cost controllability, and homogeneity. (English) Zbl 1453.93083 SIAM J. Control Optim. 58, No. 5, 2979-2996 (2020). MSC: 93B45 93B05 93D20 PDFBibTeX XMLCite \textit{J.-M. Coron} et al., SIAM J. Control Optim. 58, No. 5, 2979--2996 (2020; Zbl 1453.93083) Full Text: DOI arXiv
Grüne, Lars; Junge, Oliver From Bellman to Dijkstra: set-oriented construction of globally optimal controllers. (English) Zbl 1454.93219 Junge, Oliver (ed.) et al., Advances in dynamics, optimization and computation. A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Cham: Springer. Stud. Syst. Decis. Control 304, 265-294 (2020). MSC: 93D09 93C55 93B52 93C10 49K10 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{O. Junge}, Stud. Syst. Decis. Control 304, 265--294 (2020; Zbl 1454.93219) Full Text: DOI Link
Grüne, Lars; Pirkelmann, Simon Economic model predictive control for time-varying system: performance and stability results. (English) Zbl 1451.93095 Optim. Control Appl. Methods 41, No. 1, 42-64 (2020). MSC: 93B45 93D20 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{S. Pirkelmann}, Optim. Control Appl. Methods 41, No. 1, 42--64 (2020; Zbl 1451.93095) Full Text: DOI Link
Noroozi, Navid; Geiselhart, Roman; Grüne, Lars; Wirth, Fabian R. Control of discrete-time nonlinear systems via finite-step control Lyapunov functions. (English) Zbl 1436.93043 Syst. Control Lett. 138, Article ID 104631, 10 p. (2020). MSC: 93B45 93D30 93C55 93C10 PDFBibTeX XMLCite \textit{N. Noroozi} et al., Syst. Control Lett. 138, Article ID 104631, 10 p. (2020; Zbl 1436.93043) Full Text: DOI arXiv
Grüne, Lars; Schaller, Manuel; Schiela, Anton Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations. (English) Zbl 1436.49044 J. Differ. Equations 268, No. 12, 7311-7341 (2020). MSC: 49N10 49K20 49K40 93D20 PDFBibTeX XMLCite \textit{L. Grüne} et al., J. Differ. Equations 268, No. 12, 7311--7341 (2020; Zbl 1436.49044) Full Text: DOI Link
Braun, Philipp; Grüne, L.; Kellett, C. M.; Weller, S. R.; Worthmann, K. Towards price-based predictive control of a small-scale electricity network. (English) Zbl 1430.93056 Int. J. Control 93, No. 1, 40-61 (2020). MSC: 93B45 93B70 91B74 PDFBibTeX XMLCite \textit{P. Braun} et al., Int. J. Control 93, No. 1, 40--61 (2020; Zbl 1430.93056) Full Text: DOI Link
Ou, Ruchuan; Baumann, Michael Heinrich; Grüne, Lars; Faulwasser, Timm A Simulation Study on Turnpikes in Stochastic LQ Optimal Control. arXiv:2010.12201 Preprint, arXiv:2010.12201 [eess.SY] (2020). BibTeX Cite \textit{R. Ou} et al., ``A Simulation Study on Turnpikes in Stochastic LQ Optimal Control'', Preprint, arXiv:2010.12201 [eess.SY] (2020) Full Text: arXiv OA License
Grüne, Lars; Schaller, Manuel; Schiela, Anton Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control. (English) Zbl 1420.49025 SIAM J. Control Optim. 57, No. 4, 2753-2774 (2019). MSC: 49K20 49K40 93D20 PDFBibTeX XMLCite \textit{L. Grüne} et al., SIAM J. Control Optim. 57, No. 4, 2753--2774 (2019; Zbl 1420.49025) Full Text: DOI
Grüne, Lars; Stieler, Marleen Multiobjective model predictive control for stabilizing cost criteria. (English) Zbl 1421.93050 Discrete Contin. Dyn. Syst., Ser. B 24, No. 8, 3905-3928 (2019). MSC: 93B40 93B52 93C10 93C55 90C29 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{M. Stieler}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 8, 3905--3928 (2019; Zbl 1421.93050) Full Text: DOI
Baier, Robert; Braun, Philipp; Grüne, Lars; Kellett, Christopher M. Numerical construction of nonsmooth control Lyapunov functions. (English) Zbl 1414.93168 Giselsson, Pontus (ed.) et al., Large-scale and distributed optimization. Contributions of the workshop, Lund, Sweden, June 14–16, 2017. Cham: Springer. Lect. Notes Math. 2227, 343-373 (2018). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 93D30 90C11 93D05 90C05 PDFBibTeX XMLCite \textit{R. Baier} et al., Lect. Notes Math. 2227, 343--373 (2018; Zbl 1414.93168) Full Text: DOI Link
Fleig, Arthur; Grüne, Lars \(L^2\)-tracking of Gaussian distributions via model predictive control for the Fokker-Planck equation. (English) Zbl 1406.35411 Vietnam J. Math. 46, No. 4, 915-948 (2018). MSC: 35Q84 35Q93 49N35 60G15 93C15 82C31 PDFBibTeX XMLCite \textit{A. Fleig} and \textit{L. Grüne}, Vietnam J. Math. 46, No. 4, 915--948 (2018; Zbl 1406.35411) Full Text: DOI
Falcone, Maurizio (ed.); Ferretti, Roberto (ed.); Grüne, Lars (ed.); McEneaney, William M. (ed.) Numerical methods for optimal control problems. Proceedings of the workshop, Rome, Italy, June 19–23, 2017. (English) Zbl 1411.49002 Springer INdAM Series 29. Cham: Springer (ISBN 978-3-030-01958-7/hbk; 978-3-030-01959-4/ebook). x, 268 p. (2018). MSC: 49-06 49Jxx 65K15 00B25 PDFBibTeX XMLCite \textit{M. Falcone} (ed.) et al., Numerical methods for optimal control problems. Proceedings of the workshop, Rome, Italy, June 19--23, 2017. Cham: Springer (2018; Zbl 1411.49002) Full Text: DOI
Grüne, Lars; Pirkelmann, Simon; Stieler, Marleen Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems. (English) Zbl 1401.49035 Feichtinger, Gustav (ed.) et al., Control systems and mathematical methods in economics. Essays in honor of Vladimir M. Veliov. Cham: Springer (ISBN 978-3-319-75168-9/pbk; 978-3-319-75169-6/ebook). Lecture Notes in Economics and Mathematical Systems 687, 195-218 (2018). MSC: 49M25 49L20 91B55 PDFBibTeX XMLCite \textit{L. Grüne} et al., Lect. Notes Econ. Math. Syst. 687, 195--218 (2018; Zbl 1401.49035) Full Text: DOI Link
Gaitsgory, Vladimir; Grüne, Lars; Höger, Matthias; Kellett, Christopher M.; Weller, Steven R. Stabilization of strictly dissipative discrete time systems with discounted optimal control. (English) Zbl 1400.93267 Automatica 93, 311-320 (2018). MSC: 93D20 93C55 49N90 93D05 93B05 PDFBibTeX XMLCite \textit{V. Gaitsgory} et al., Automatica 93, 311--320 (2018; Zbl 1400.93267) Full Text: DOI Link
Noroozi, Navid; Geiselhart, Roman; Grüne, Lars; Rüffer, Björn S.; Wirth, Fabian R. Nonconservative discrete-time ISS small-gain conditions for closed sets. (English) Zbl 1395.93506 IEEE Trans. Autom. Control 63, No. 5, 1231-1242 (2018). MSC: 93D25 93C55 PDFBibTeX XMLCite \textit{N. Noroozi} et al., IEEE Trans. Autom. Control 63, No. 5, 1231--1242 (2018; Zbl 1395.93506) Full Text: arXiv
Grüne, Lars; Guglielmi, Roberto Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems. (English) Zbl 1387.49027 SIAM J. Control Optim. 56, No. 2, 1282-1302 (2018). MSC: 49K15 49N10 49J15 93D20 93C15 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{R. Guglielmi}, SIAM J. Control Optim. 56, No. 2, 1282--1302 (2018; Zbl 1387.49027) Full Text: DOI
Kellett, Christopher M.; Weller, Steven R.; Faulwasser, Timm; Grüne, Lars; Semmler, Willi Feedback, Dynamics, and Optimal Control in Climate Economics. arXiv:1812.08066 Preprint, arXiv:1812.08066 [cs.SY] (2018). BibTeX Cite \textit{C. M. Kellett} et al., ``Feedback, Dynamics, and Optimal Control in Climate Economics'', Preprint, arXiv:1812.08066 [cs.SY] (2018) Full Text: arXiv OA License
Botner, Meir; Zarai, Yoram; Margaliot, Michael; Grüne, Lars On approximating contractive systems. (English) Zbl 1390.93186 IEEE Trans. Autom. Control 62, No. 12, 6451-6457 (2017). MSC: 93B11 34D10 93B18 PDFBibTeX XMLCite \textit{M. Botner} et al., IEEE Trans. Autom. Control 62, No. 12, 6451--6457 (2017; Zbl 1390.93186) Full Text: DOI
Grüne, Lars; Kellett, Christopher M.; Weller, Steven R. On the relation between turnpike properties for finite and infinite horizon optimal control problems. (English) Zbl 1380.49055 J. Optim. Theory Appl. 173, No. 3, 727-745 (2017). Reviewer: Treanta Savin (Bucharest) MSC: 49N60 49J21 PDFBibTeX XMLCite \textit{L. Grüne} et al., J. Optim. Theory Appl. 173, No. 3, 727--745 (2017; Zbl 1380.49055) Full Text: DOI Link
Zanon, Mario; Grüne, Lars; Diehl, Moritz Periodic optimal control, dissipativity and MPC. (English) Zbl 1369.93356 IEEE Trans. Autom. Control 62, No. 6, 2943-2949 (2017). MSC: 93C55 93B40 PDFBibTeX XMLCite \textit{M. Zanon} et al., IEEE Trans. Autom. Control 62, No. 6, 2943--2949 (2017; Zbl 1369.93356) Full Text: DOI
Baumann, Michael Heinrich; Grüne, Lars Simultaneously long short trading in discrete and continuous time. (English) Zbl 1353.93116 Syst. Control Lett. 99, 85-89 (2017). MSC: 93E20 91B60 93C57 PDFBibTeX XMLCite \textit{M. H. Baumann} and \textit{L. Grüne}, Syst. Control Lett. 99, 85--89 (2017; Zbl 1353.93116) Full Text: DOI Link
Grüne, Lars; Pannek, Jürgen Nonlinear model predictive control. Theory and algorithms. 2nd edition. (English) Zbl 1429.93003 Communications and Control Engineering. Cham: Springer (ISBN 978-3-319-46023-9/hbk; 978-3-319-46024-6/ebook). xiv, 456 p. (2017). Reviewer: Tobias Breiten (Graz) MSC: 93-02 93B45 93C10 93C55 93C57 49N90 93D20 93B05 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{J. Pannek}, Nonlinear model predictive control. Theory and algorithms. 2nd edition. Cham: Springer (2017; Zbl 1429.93003) Full Text: DOI
Braun, Philipp; Grüne, Lars; Kellett, Christopher M.; Weller, Steven R.; Worthmann, Karl A distributed optimization algorithm for the predictive control of smart grids. (English) Zbl 1359.93270 IEEE Trans. Autom. Control 61, No. 12, 3898-3911 (2016). MSC: 93C55 68W15 90C90 94C30 PDFBibTeX XMLCite \textit{P. Braun} et al., IEEE Trans. Autom. Control 61, No. 12, 3898--3911 (2016; Zbl 1359.93270) Full Text: DOI
Müller, Matthias A.; Grüne, Lars Economic model predictive control without terminal constraints for optimal periodic behavior. (English) Zbl 1339.93051 Automatica 70, 128-139 (2016). MSC: 93B40 93C10 PDFBibTeX XMLCite \textit{M. A. Müller} and \textit{L. Grüne}, Automatica 70, 128--139 (2016; Zbl 1339.93051) Full Text: DOI
Grüne, Lars; Müller, Matthias A. On the relation between strict dissipativity and turnpike properties. (English) Zbl 1335.93117 Syst. Control Lett. 90, 45-53 (2016). MSC: 93D99 93C55 93C10 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{M. A. Müller}, Syst. Control Lett. 90, 45--53 (2016; Zbl 1335.93117) Full Text: DOI
Li, Huijuan; Grüne, Lars Computation of local ISS Lyapunov functions for discrete-time systems via linear programming. (English) Zbl 1332.93328 J. Math. Anal. Appl. 438, No. 2, 701-719 (2016). MSC: 93D25 93D30 93C55 90C05 PDFBibTeX XMLCite \textit{H. Li} and \textit{L. Grüne}, J. Math. Anal. Appl. 438, No. 2, 701--719 (2016; Zbl 1332.93328) Full Text: DOI
Grüne, Lars; Junge, Oliver Ordinary differential equations. An introduction from the dynamical systems perspective. 2nd updated ed. (Gewöhnliche Differentialgleichungen. Eine Einführung aus der Perspektive der dynamischen Systeme.) (German) Zbl 1385.34001 Springer Studium Mathematik – Bachelor. Heidelberg: Springer Spektrum (ISBN 978-3-658-10240-1/pbk; 978-3-658-10241-8/ebook). xi, 249 p. (2016). Reviewer: Klaus R. Schneider (Berlin) MSC: 34-01 34Axx 34Cxx 34Dxx 34-04 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{O. Junge}, Gewöhnliche Differentialgleichungen. Eine Einführung aus der Perspektive der dynamischen Systeme. 2nd updated ed. Heidelberg: Springer Spektrum (2016; Zbl 1385.34001) Full Text: DOI
Grüne, Lars; Semmler, Willi; Stieler, Marleen Using nonlinear model predictive control for dynamic decision problems in economics. (English) Zbl 1401.93094 J. Econ. Dyn. Control 60, 112-133 (2015). MSC: 93B40 91B55 93C10 PDFBibTeX XMLCite \textit{L. Grüne} et al., J. Econ. Dyn. Control 60, 112--133 (2015; Zbl 1401.93094) Full Text: DOI Link
Li, Huijuan; Baier, Robert; Grüne, Lars; Hafstein, Sigurdur F.; Wirth, Fabian R. Computation of local ISS Lyapunov functions with low gains via linear programming. (English) Zbl 1366.37146 Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2477-2495 (2015). MSC: 37M99 93D09 93D30 90C05 93D25 90C90 PDFBibTeX XMLCite \textit{H. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 8, 2477--2495 (2015; Zbl 1366.37146) Full Text: DOI
Caillau, Jean-Baptiste (ed.); Pinho, Maria (ed.); Grüne, Lars (ed.); Trélat, Emmanuel (ed.); Zidani, Hasnaa (ed.) Preface. (English) Zbl 1332.00044 Discrete Contin. Dyn. Syst. 35, No. 9, i-iv (2015). MSC: 00B15 49-06 35-06 93-06 PDFBibTeX XMLCite \textit{J.-B. Caillau} (ed.) et al., Discrete Contin. Dyn. Syst. 35, No. 9, i-iv (2015; Zbl 1332.00044) Full Text: DOI
Grüne, Lars; Palma, Vryan Gil Robustness of performance and stability for multistep and updated multistep MPC schemes. (English) Zbl 1334.49099 Discrete Contin. Dyn. Syst. 35, No. 9, 4385-4414 (2015). MSC: 49M37 49K20 49L20 93B52 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{V. G. Palma}, Discrete Contin. Dyn. Syst. 35, No. 9, 4385--4414 (2015; Zbl 1334.49099) Full Text: DOI
Bokanowski, Olivier; Falcone, Maurizio; Ferretti, Roberto; Grüne, Lars; Kalise, Dante; Zidani, Hasnaa Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations. (English) Zbl 1334.65180 Discrete Contin. Dyn. Syst. 35, No. 9, 4041-4070 (2015). MSC: 65N12 35F21 65N22 PDFBibTeX XMLCite \textit{O. Bokanowski} et al., Discrete Contin. Dyn. Syst. 35, No. 9, 4041--4070 (2015; Zbl 1334.65180) Full Text: DOI
Gaitsgory, Vladimir; Grüne, Lars; Thatcher, Neil Stabilization with discounted optimal control. (English) Zbl 1327.93324 Syst. Control Lett. 82, 91-98 (2015). MSC: 93D20 93B17 93C10 49N99 PDFBibTeX XMLCite \textit{V. Gaitsgory} et al., Syst. Control Lett. 82, 91--98 (2015; Zbl 1327.93324) Full Text: DOI Link
Grüne, Lars; Picarelli, Athena Zubov’s method for controlled diffusions with state constraints. (English) Zbl 1323.93019 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1765-1799 (2015). MSC: 93B05 93E20 49L25 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{A. Picarelli}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1765--1799 (2015; Zbl 1323.93019) Full Text: DOI
Grüne, Lars; Zidani, Hasnaa Zubov’s equation for state-constrained perturbed nonlinear systems. (English) Zbl 1322.93080 Math. Control Relat. Fields 5, No. 1, 55-71 (2015). MSC: 93D09 93C73 93C10 35F21 49L25 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{H. Zidani}, Math. Control Relat. Fields 5, No. 1, 55--71 (2015; Zbl 1322.93080) Full Text: DOI
Grüne, Lars; Sigurani, Manuela Numerical event-based ISS controller design via a dynamic game approach. (English) Zbl 1327.93178 J. Comput. Dyn. 2, No. 1, 65-81 (2015). MSC: 93B51 93D09 65P40 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{M. Sigurani}, J. Comput. Dyn. 2, No. 1, 65--81 (2015; Zbl 1327.93178) Full Text: DOI
Grüne, Lars; Kellett, Christopher M. ISS-Lyapunov functions for discontinuous discrete-time systems. (English) Zbl 1360.93497 IEEE Trans. Autom. Control 59, No. 11, 3098-3103 (2014). MSC: 93D05 93C55 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{C. M. Kellett}, IEEE Trans. Autom. Control 59, No. 11, 3098--3103 (2014; Zbl 1360.93497) Full Text: DOI
Boccia, Andrea; Grüne, Lars; Worthmann, Karl Stability and feasibility of state constrained MPC without stabilizing terminal constraints. (English) Zbl 1297.93068 Syst. Control Lett. 72, 14-21 (2014). MSC: 93B40 93B35 93C10 PDFBibTeX XMLCite \textit{A. Boccia} et al., Syst. Control Lett. 72, 14--21 (2014; Zbl 1297.93068) Full Text: DOI Link
Damm, Tobias; Grüne, Lars; Stieler, Marleen; Worthmann, Karl An exponential turnpike theorem for dissipative discrete time optimal control problems. (English) Zbl 1303.49013 SIAM J. Control Optim. 52, No. 3, 1935-1957 (2014). Reviewer: Igor Bock (Bratislava) MSC: 49K30 49K21 93B05 49M30 PDFBibTeX XMLCite \textit{T. Damm} et al., SIAM J. Control Optim. 52, No. 3, 1935--1957 (2014; Zbl 1303.49013) Full Text: DOI Link
Worthmann, Karl; Reble, Marcus; Grüne, Lars; Allgöwer, Frank The role of sampling for stability and performance in unconstrained nonlinear model predictive control. (English) Zbl 1292.93061 SIAM J. Control Optim. 52, No. 1, 581-605 (2014). MSC: 93B40 93C10 93C20 93C57 93B05 93D15 93D20 93D05 PDFBibTeX XMLCite \textit{K. Worthmann} et al., SIAM J. Control Optim. 52, No. 1, 581--605 (2014; Zbl 1292.93061) Full Text: DOI
Grüne, L.; Hirche, S.; Junge, O.; Koltai, P.; Lehmann, D.; Lunze, J.; Molin, A.; Sailer, R.; Sigurani, M.; Stöcker, C.; Wirth, F. Event-based control. (English) Zbl 1276.93056 Lunze, Jan (ed.), Control theory of digitally networked dynamic systems. Cham: Springer (ISBN 978-3-319-01130-1/hbk; 978-3-319-01131-8/ebook). 169-261 (2014). MSC: 93C65 90B18 PDFBibTeX XMLCite \textit{L. Grüne} et al., in: Control theory of digitally networked dynamic systems. Cham: Springer. 169--261 (2014; Zbl 1276.93056) Full Text: DOI
Grüne, L.; Allgöwer, F.; Findeisen, R.; Fischer, J.; Groß, D.; Hanebeck, U. D.; Kern, B.; Müller, M. A.; Pannek, J.; Reble, M.; Stursberg, O.; Varutti, P.; Worthmann, K. Distributed and networked model predictive control. (English) Zbl 1276.93037 Lunze, Jan (ed.), Control theory of digitally networked dynamic systems. Cham: Springer (ISBN 978-3-319-01130-1/hbk; 978-3-319-01131-8/ebook). 111-167 (2014). MSC: 93B51 93B40 93A14 PDFBibTeX XMLCite \textit{L. Grüne} et al., in: Control theory of digitally networked dynamic systems. Cham: Springer. 111--167 (2014; Zbl 1276.93037) Full Text: DOI
Lunze, J.; Grüne, L. Introduction to networked control systems. (English) Zbl 1276.93013 Lunze, Jan (ed.), Control theory of digitally networked dynamic systems. Cham: Springer (ISBN 978-3-319-01130-1/hbk; 978-3-319-01131-8/ebook). 1-30 (2014). MSC: 93A30 93A13 93A14 93C55 93C65 PDFBibTeX XMLCite \textit{J. Lunze} and \textit{L. Grüne}, in: Control theory of digitally networked dynamic systems. Cham: Springer. 1--30 (2014; Zbl 1276.93013) Full Text: DOI
Grüne, Lars; Worthmann, Karl A distributed NMPC scheme without stabilizing terminal constraints. (English) Zbl 1328.93103 Johansson, Rolf (ed.) et al., Distributed decision making and control. Berlin: Springer (ISBN 978-1-4471-2264-7/hbk; 978-1-4471-2265-4/ebook). Lecture Notes in Control and Information Sciences 417, 261-287 (2012). MSC: 93B40 93C55 93C10 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{K. Worthmann}, Lect. Notes Control Inf. Sci. 417, 261--287 (2012; Zbl 1328.93103) Full Text: DOI Link
Altmüller, Nils; Grüne, Lars Distributed and boundary model predictive control for the heat equation. (English) Zbl 1256.49033 GAMM-Mitt. 35, No. 2, 131-145 (2012). MSC: 49M25 49K20 35K05 93B05 PDFBibTeX XMLCite \textit{N. Altmüller} and \textit{L. Grüne}, GAMM-Mitt. 35, No. 2, 131--145 (2012; Zbl 1256.49033) Full Text: DOI
Baier, Robert; Grüne, Lars; Hafstein, Sigurður Freyr Linear programming based Lyapunov function computation for differential inclusions. (English) Zbl 1235.93222 Discrete Contin. Dyn. Syst., Ser. B 17, No. 1, 33-56 (2012). MSC: 93D30 93D20 34D20 34A60 34A36 PDFBibTeX XMLCite \textit{R. Baier} et al., Discrete Contin. Dyn. Syst., Ser. B 17, No. 1, 33--56 (2012; Zbl 1235.93222) Full Text: DOI
Grüne, Lars; Pannek, Jürgen; Worthmann, Karl Ensuring Stability in Networked Systems with Nonlinear MPC for Continuous Time Systems. arXiv:1203.6785 Preprint, arXiv:1203.6785 [math.OC] (2012). MSC: 93D15 93D05 BibTeX Cite \textit{L. Grüne} et al., ``Ensuring Stability in Networked Systems with Nonlinear MPC for Continuous Time Systems'', Preprint, arXiv:1203.6785 [math.OC] (2012) Full Text: arXiv OA License
Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizons. arXiv:1203.6783 Preprint, arXiv:1203.6783 [math.OC] (2012). MSC: 49J15 93B05 93B52 93C57 93D15 93D20 BibTeX Cite \textit{L. Grüne} et al., ``Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizons'', Preprint, arXiv:1203.6783 [math.OC] (2012) Full Text: arXiv OA License
Grüne, Lars; Serea, Oana Silvia Differential games and Zubov’s method. (English) Zbl 1237.49054 SIAM J. Control Optim. 49, No. 6, 2349-2377 (2011). MSC: 49N70 93B05 93C15 35F10 49L20 49L25 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{O. S. Serea}, SIAM J. Control Optim. 49, No. 6, 2349--2377 (2011; Zbl 1237.49054) Full Text: DOI
Aoyama, Hideaki; Grüne, Lars; Semmler, Willi; Fujiwara, Yoshi; Souma, Wataru Fluctuation of firm size in the long-run and bimodal distribution. (English) Zbl 1233.91211 Adv. Oper. Res. 2011, Article ID 269239, 21 p. (2011). MSC: 91B82 PDFBibTeX XMLCite \textit{H. Aoyama} et al., Adv. Oper. Res. 2011, Article ID 269239, 21 p. (2011; Zbl 1233.91211) Full Text: DOI
Karafyllis, Iasson; Grüne, Lars Feedback stabilization methods for the numerical solution of ordinary differential equations. (English) Zbl 1237.65085 Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 283-317 (2011). Reviewer: Alan L. Andrew (Bundoora) MSC: 65L20 65L50 65L06 93D15 34A34 65L05 PDFBibTeX XMLCite \textit{I. Karafyllis} and \textit{L. Grüne}, Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 283--317 (2011; Zbl 1237.65085) Full Text: DOI
Grüne, Lars; Pannek, Jürgen Nonlinear model predictive control. Theory and algorithms. (English) Zbl 1220.93001 Communications and Control Engineering. London: Springer (ISBN 978-0-85729-500-2/hbk; 978-0-85729-501-9/ebook). xi, 359 p. (2011). Reviewer: Jerzy Klamka (Gliwice) MSC: 93-02 93C10 93D20 93C55 93C57 93C35 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{J. Pannek}, Nonlinear model predictive control. Theory and algorithms. London: Springer (2011; Zbl 1220.93001) Full Text: DOI
Grüne, Lars; Pannek, Jürgen; Seehafer, Martin; Worthmann, Karl Analysis of unconstrained nonlinear MPC schemes with time varying control horizon. (English) Zbl 1208.49046 SIAM J. Control Optim. 48, No. 8, 4938-4962 (2010). MSC: 49N35 93D15 93B05 PDFBibTeX XMLCite \textit{L. Grüne} et al., SIAM J. Control Optim. 48, No. 8, 4938--4962 (2010; Zbl 1208.49046) Full Text: DOI arXiv Link
Grüne, Lars; Sager, Sebastian; Allgöwer, Frank; Bock, Hans Georg; Diehl, Moritz Predictive planning and systematic action-on the control of technical processes. (English) Zbl 1202.00018 Grötschel, Martin (ed.) et al., Production factor mathematics. Berlin: Springer (ISBN 978-3-642-11247-8/pbk; 978-3-642-11248-5/ebook). 9-37 (2010). MSC: 00A09 93-03 01A55 01A60 PDFBibTeX XMLCite \textit{L. Grüne} et al., in: Production factor mathematics. Berlin: Springer. 9--37 (2010; Zbl 1202.00018) Full Text: DOI
Caraballo, Tomás; Grüne, Lars Introduction to Peter Kloeden’s special issue. (English) Zbl 1218.01014 J. Difference Equ. Appl. 16, No. 2-3, 125-126 (2010). MSC: 01A70 39-03 PDFBibTeX XMLCite \textit{T. Caraballo} and \textit{L. Grüne}, J. Difference Equ. Appl. 16, No. 2--3, 125--126 (2010; Zbl 1218.01014) Full Text: DOI
Karafyllis, Iasson; Grüne, Lars Feedback stabilization methods for the numerical solution of systems of ordinary differential equations. (English) Zbl 1181.93069 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 152-155 (2009). MSC: 93D15 93C15 93C10 93C05 76Q05 PDFBibTeX XMLCite \textit{I. Karafyllis} and \textit{L. Grüne}, AIP Conf. Proc. 1168, 152--155 (2009; Zbl 1181.93069) Full Text: DOI arXiv Link
Grüne, L.; Pannek, J. Practical NMPC suboptimality estimates along trajectories. (English) Zbl 1159.93013 Syst. Control Lett. 58, No. 3, 161-168 (2009). MSC: 93B40 93B51 49M30 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{J. Pannek}, Syst. Control Lett. 58, No. 3, 161--168 (2009; Zbl 1159.93013) Full Text: DOI Link
Grüne, Lars; Junge, Oliver Ordinary differential equations. An introduction from the dynamical systems perspective. (Gewöhnliche Differentialgleichungen. Eine Einführung aus der Perspektive der dynamischen Systeme.) (German) Zbl 1175.34001 Vieweg Studium: Bachelorkurs Mathematik. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-0381-8/pbk). xi, 243 p. (2009). Reviewer: Bernhard Lani-Wayda (Giessen) MSC: 34-01 34Axx 34Cxx 34Dxx 34-04 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{O. Junge}, Gewöhnliche Differentialgleichungen. Eine Einführung aus der Perspektive der dynamischen Systeme. Wiesbaden: Vieweg+Teubner (2009; Zbl 1175.34001)
Grüne, Lars; Rantzer, Anders On the infinite horizon performance of receding horizon controllers. (English) Zbl 1367.90109 IEEE Trans. Autom. Control 53, No. 9, 2100-2111 (2008). MSC: 90C39 93B40 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{A. Rantzer}, IEEE Trans. Autom. Control 53, No. 9, 2100--2111 (2008; Zbl 1367.90109) Full Text: DOI
Grüne, L.; Worthmann, K. Sampled-data redesign for nonlinear multi-input systems. (English) Zbl 1206.93071 Ancona, Fabio (ed.) et al., Geometric control and nonsmooth analysis. In honor of the 73rd birthday of H. Hermes and of the 71st birthday of R. T. Rockafellar. Proceedings of the conference, Rome, Italy, June 2006. Hackensack, NJ: World Scientific (ISBN 978-981-277-606-8/hbk). Series on Advances in Mathematics for Applied Sciences 76, 206-227 (2008). MSC: 93C57 93C10 93B52 93B27 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{K. Worthmann}, Ser. Adv. Math. Appl. Sci. 76, 206--227 (2008; Zbl 1206.93071)
Grüne, Lars; Semmler, Willi Asset pricing with loss aversion. (English) Zbl 1181.91072 J. Econ. Dyn. Control 32, No. 10, 3253-3274 (2008). MSC: 91B25 91B62 91B70 90C39 90C15 91G60 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{W. Semmler}, J. Econ. Dyn. Control 32, No. 10, 3253--3274 (2008; Zbl 1181.91072) Full Text: DOI Link
Camilli, Fabio; Grüne, Lars; Wirth, Fabian Control Lyapunov functions and Zubov’s method. (English) Zbl 1157.93028 SIAM J. Control Optim. 47, No. 1, 301-326 (2008). MSC: 93D10 35B37 49L25 93B05 PDFBibTeX XMLCite \textit{F. Camilli} et al., SIAM J. Control Optim. 47, No. 1, 301--326 (2008; Zbl 1157.93028) Full Text: DOI
Grüne, L.; Junge, O. Global optimal control of perturbed systems. (English) Zbl 1147.49019 J. Optim. Theory Appl. 136, No. 3, 411-429 (2008). MSC: 49M25 93C73 93D10 91A25 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{O. Junge}, J. Optim. Theory Appl. 136, No. 3, 411--429 (2008; Zbl 1147.49019) Full Text: DOI arXiv
Grüne, Lars; Worthmann, Karl; Nešić, Dragan Continuous-time controller redesign for digital implementation: a trajectory based approach. (English) Zbl 1138.93350 Automatica 44, No. 1, 225-232 (2008). MSC: 93B52 93C57 PDFBibTeX XMLCite \textit{L. Grüne} et al., Automatica 44, No. 1, 225--232 (2008; Zbl 1138.93350) Full Text: DOI Link
Grüne, Lars; Semmler, Willi Default risk, asset pricing, and debt control. (English) Zbl 1418.91586 Semmler, Willi (ed.) et al., The foundations of credit risk analysis. The International Library of Critical Writings in Econometrics 211. Cheltenham: Edward Elgar Publishing. 426-453 (2007). MSC: 91G50 91G40 91G60 PDFBibTeX XMLCite \textit{L. Grüne} and \textit{W. Semmler}, in: The foundations of credit risk analysis. Cheltenham: Edward Elgar Publishing. 426--453 (2007; Zbl 1418.91586) Full Text: DOI Link