Pakniyat, Ali; Caines, Peter E. The minimum principle of hybrid optimal control theory. (English) Zbl 07801140 Math. Control Signals Syst. 36, No. 1, 21-70 (2024). MSC: 93C30 93C10 49J20 PDFBibTeX XMLCite \textit{A. Pakniyat} and \textit{P. E. Caines}, Math. Control Signals Syst. 36, No. 1, 21--70 (2024; Zbl 07801140) Full Text: DOI
Sivasankar, S.; Udhayakumar, R.; Muthukumaran, V. Hilfer fractional neutral stochastic integro-differential evolution hemivariational inequalities and optimal controls. (English) Zbl 07816056 Math. Methods Appl. Sci. 46, No. 18, 19259-19276 (2023). MSC: 93E20 49J20 34A08 26A33 PDFBibTeX XMLCite \textit{S. Sivasankar} et al., Math. Methods Appl. Sci. 46, No. 18, 19259--19276 (2023; Zbl 07816056) Full Text: DOI
Lihvoinen, Oleg On extensions of families of operators. (English) Zbl 07790593 Commentat. Math. Univ. Carol. 64, No. 2, 227-252 (2023). MSC: 49J45 49J20 PDFBibTeX XMLCite \textit{O. Lihvoinen}, Commentat. Math. Univ. Carol. 64, No. 2, 227--252 (2023; Zbl 07790593) Full Text: DOI
Acquistapace, Paolo; Bucci, Francesca Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations. (English) Zbl 1516.49033 Ann. Mat. Pura Appl. (4) 202, No. 4, 1611-1642 (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 49N10 93C20 35M33 PDFBibTeX XMLCite \textit{P. Acquistapace} and \textit{F. Bucci}, Ann. Mat. Pura Appl. (4) 202, No. 4, 1611--1642 (2023; Zbl 1516.49033) Full Text: DOI
Acquistapace, Paolo; Bucci, Francesca On the infinitesimal generator of an optimal state semigroup. (English) Zbl 1508.35178 Semigroup Forum 105, No. 1, 46-72 (2022). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 74K20 74F05 49N10 49J20 49N35 49J27 35M33 93C20 PDFBibTeX XMLCite \textit{P. Acquistapace} and \textit{F. Bucci}, Semigroup Forum 105, No. 1, 46--72 (2022; Zbl 1508.35178) Full Text: DOI arXiv
Casas, Eduardo; Tröltzsch, Fredi Stability for semilinear parabolic optimal control problems with respect to initial data. (English) Zbl 1494.35100 Appl. Math. Optim. 86, No. 2, Paper No. 16, 31 p. (2022). MSC: 35K58 35K20 35Q93 49J20 49K20 49K40 PDFBibTeX XMLCite \textit{E. Casas} and \textit{F. Tröltzsch}, Appl. Math. Optim. 86, No. 2, Paper No. 16, 31 p. (2022; Zbl 1494.35100) Full Text: DOI
Zhou, Shaosheng; Han, Yingying; Zhang, Baoyong New results on Hessian matrices and stabilization for stochastic T-S models via line integral. (English) Zbl 1494.93142 Automatica 142, Article ID 110337, 7 p. (2022). MSC: 93E15 49N10 15B99 PDFBibTeX XMLCite \textit{S. Zhou} et al., Automatica 142, Article ID 110337, 7 p. (2022; Zbl 1494.93142) Full Text: DOI
Firoozi, Dena; Pakniyat, Ali; Caines, Peter E. A class of hybrid LQG mean field games with state-invariant switching and stopping strategies. (English) Zbl 1491.91019 Automatica 141, Article ID 110244, 14 p. (2022). MSC: 91A16 91A10 49N80 49N10 PDFBibTeX XMLCite \textit{D. Firoozi} et al., Automatica 141, Article ID 110244, 14 p. (2022; Zbl 1491.91019) Full Text: DOI arXiv
Kunisch, Karl; Priyasad, Buddhika Continuous differentiability of the value function of semilinear parabolic infinite time horizon optimal control problems on \(L^2(\Omega)\) Under control constraints. (English) Zbl 1487.49026 Appl. Math. Optim. 85, No. 2, Paper No. 10, 48 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 49K20 35K58 49N35 49J50 35F21 PDFBibTeX XMLCite \textit{K. Kunisch} and \textit{B. Priyasad}, Appl. Math. Optim. 85, No. 2, Paper No. 10, 48 p. (2022; Zbl 1487.49026) Full Text: DOI arXiv
Bagagiolo, Fabio; Festa, Adriano; Marzufero, Luciano Hybrid control for optimal visiting problems for a single player and for a crowd. (English) Zbl 1519.49020 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 1, Paper No. 4, 36 p. (2022). Reviewer: Savin Treanţă (Bucureşti) MSC: 49L25 35Q82 35Q84 35F21 PDFBibTeX XMLCite \textit{F. Bagagiolo} et al., NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 1, Paper No. 4, 36 p. (2022; Zbl 1519.49020) Full Text: DOI arXiv
Hoppe, Fabian; Neitzel, Ira Convergence of the SQP method for quasilinear parabolic optimal control problems. (English) Zbl 1481.35259 Optim. Eng. 22, No. 4, 2039-2085 (2021). MSC: 35K59 35K20 49K20 90C48 49N60 65K10 90C55 49M15 49M37 PDFBibTeX XMLCite \textit{F. Hoppe} and \textit{I. Neitzel}, Optim. Eng. 22, No. 4, 2039--2085 (2021; Zbl 1481.35259) Full Text: DOI
Liu, Xinggao; Xiao, Long; Lv, Lu; Liu, Ping; Xu, Guoqiang; Zheng, Zongzhun; Wang, Sen Analytical sensitivity computation using collocation method with non-uniform mesh discretisation for numerical solutions of optimal control problems. (English) Zbl 1480.49032 Int. J. Control 94, No. 3, 612-622 (2021). MSC: 49M25 65K10 PDFBibTeX XMLCite \textit{X. Liu} et al., Int. J. Control 94, No. 3, 612--622 (2021; Zbl 1480.49032) Full Text: DOI
Mehrpouya, Mohammad Ali; Khaksar-e Oshagh, Mahmood An efficient numerical solution for time switching optimal control problems. (English) Zbl 1474.49054 Comput. Methods Differ. Equ. 9, No. 1, 225-243 (2021). MSC: 49M05 49J30 65L99 93C30 PDFBibTeX XMLCite \textit{M. A. Mehrpouya} and \textit{M. Khaksar-e Oshagh}, Comput. Methods Differ. Equ. 9, No. 1, 225--243 (2021; Zbl 1474.49054) Full Text: DOI
Ferretti, R.; Sassi, A.; Zidani, H. Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems. (English) Zbl 1461.49037 Appl. Math. Optim. 83, No. 1, 139-175 (2021). MSC: 49L20 49M25 49N25 65K15 35F21 90C39 49M41 PDFBibTeX XMLCite \textit{R. Ferretti} et al., Appl. Math. Optim. 83, No. 1, 139--175 (2021; Zbl 1461.49037) Full Text: DOI
Yan, Zuomao; Yan, Xingxue Optimal controls for impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients. (English) Zbl 1460.49025 Int. J. Control 94, No. 1, 111-133 (2021). MSC: 49N25 35R60 49K45 60H15 35B15 43A60 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{X. Yan}, Int. J. Control 94, No. 1, 111--133 (2021; Zbl 1460.49025) Full Text: DOI
Ramkumar, K.; Ravikumar, K.; Varshini, S. Fractional neutral stochastic differential equations with Caputo fractional derivative: fractional Brownian motion, Poisson jumps, and optimal control. (English) Zbl 1462.34106 Stochastic Anal. Appl. 39, No. 1, 157-176 (2021). MSC: 34K37 34K30 34K40 34K50 49J27 PDFBibTeX XMLCite \textit{K. Ramkumar} et al., Stochastic Anal. Appl. 39, No. 1, 157--176 (2021; Zbl 1462.34106) Full Text: DOI
Jadamba, Baasansuren; Khan, Akhtar A.; Richards, Michael; Sama, Miguel; Tammer, Christiane Analyzing the role of the inf-sup condition for parameter identification in saddle point problems with application in elasticity imaging. (English) Zbl 1458.35476 Optimization 69, No. 12, 2577-2610 (2020). MSC: 35R30 49N45 65J20 65J22 65M30 PDFBibTeX XMLCite \textit{B. Jadamba} et al., Optimization 69, No. 12, 2577--2610 (2020; Zbl 1458.35476) Full Text: DOI
Liu, Xinxin; Huang, Qingdao Dynamics and optimal control of a Monod-Haldane predator-prey system with mixed harvesting. (English) Zbl 1456.92122 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050243, 18 p. (2020). MSC: 92D25 49N25 34A37 90C30 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Q. Huang}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 16, Article ID 2050243, 18 p. (2020; Zbl 1456.92122) Full Text: DOI
Casas, Eduardo; Tröltzsch, Fredi On optimal control problems with controls appearing nonlinearly in an elliptic state equation. (English) Zbl 1445.35162 SIAM J. Control Optim. 58, No. 4, 1961-1983 (2020). MSC: 35J61 49J20 49K20 49M25 PDFBibTeX XMLCite \textit{E. Casas} and \textit{F. Tröltzsch}, SIAM J. Control Optim. 58, No. 4, 1961--1983 (2020; Zbl 1445.35162) Full Text: DOI
Zhang, Xiaofeng; Yuan, Rong Sufficient and necessary conditions for stochastic near-optimal controls: a stochastic chemostat model with non-zero cost inhibiting. (English) Zbl 1481.92091 Appl. Math. Modelling 78, 601-626 (2020). MSC: 92C99 92D25 49K45 93E20 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{R. Yuan}, Appl. Math. Modelling 78, 601--626 (2020; Zbl 1481.92091) Full Text: DOI
Reisinger, Christoph; Zhang, Yufei Error estimates of penalty schemes for quasi-variational inequalities arising from impulse control problems. (English) Zbl 1429.49032 SIAM J. Control Optim. 58, No. 1, 243-276 (2020). MSC: 49L25 49J40 65K15 93E20 PDFBibTeX XMLCite \textit{C. Reisinger} and \textit{Y. Zhang}, SIAM J. Control Optim. 58, No. 1, 243--276 (2020; Zbl 1429.49032) Full Text: DOI arXiv
Cacace, S.; Ferretti, R.; Festa, A. Stochastic hybrid differential games and match race problems. (English) Zbl 1433.93153 Appl. Math. Comput. 372, Article ID 124966, 15 p. (2020). MSC: 93E20 49N70 34K34 65N06 91A15 91A23 49L20 PDFBibTeX XMLCite \textit{S. Cacace} et al., Appl. Math. Comput. 372, Article ID 124966, 15 p. (2020; Zbl 1433.93153) Full Text: DOI arXiv
Jasso-Fuentes, Héctor; Menaldi, Jose-Luis Relaxation and linear programs in a hybrid control model. (English) Zbl 1447.49002 Appl. Math. 46, No. 2, 191-227 (2019). Reviewer: Fabio Paronetto (Padova) MSC: 49J15 90C05 49J45 PDFBibTeX XMLCite \textit{H. Jasso-Fuentes} and \textit{J.-L. Menaldi}, Appl. Math. 46, No. 2, 191--227 (2019; Zbl 1447.49002) Full Text: DOI Link
Cardin, Franco; Spiro, Andrea Pontryagin maximum principle and Stokes theorem. (English) Zbl 1431.49022 J. Geom. Phys. 142, 274-286 (2019). Reviewer: A. Omrane (Cayenne) MSC: 49K15 34H05 PDFBibTeX XMLCite \textit{F. Cardin} and \textit{A. Spiro}, J. Geom. Phys. 142, 274--286 (2019; Zbl 1431.49022) Full Text: DOI arXiv
Harder, Felix; Wachsmuth, Gerd Optimality conditions for a class of inverse optimal control problems with partial differential equations. (English) Zbl 1418.49025 Optimization 68, No. 2-3, 615-643 (2019). Reviewer: Christian Clason (Graz) MSC: 49K20 90C31 PDFBibTeX XMLCite \textit{F. Harder} and \textit{G. Wachsmuth}, Optimization 68, No. 2--3, 615--643 (2019; Zbl 1418.49025) Full Text: DOI
Carrillo, José A.; Hoffmann, Franca; Mainini, Edoardo; Volzone, Bruno Ground states in the diffusion-dominated regime. (English) Zbl 1430.35122 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 127, 28 p. (2018). Reviewer: Ahmed Youssfi (Fès) MSC: 35K55 35K65 49K20 74G65 35Q92 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 127, 28 p. (2018; Zbl 1430.35122) Full Text: DOI arXiv
Jasso-Fuentes, Héctor; Menaldi, José-Luis; Prieto-Rumeau, Tomás; Robin, Maurice Discrete-time hybrid control in Borel spaces: average cost optimality criterion. (English) Zbl 1386.93309 J. Math. Anal. Appl. 462, No. 2, 1695-1713 (2018). MSC: 93E20 93C30 93C55 49J55 90C40 90C39 PDFBibTeX XMLCite \textit{H. Jasso-Fuentes} et al., J. Math. Anal. Appl. 462, No. 2, 1695--1713 (2018; Zbl 1386.93309) Full Text: DOI
Mokhtar-Kharroubi, Hocine Convex and convex-like optimization over a range inclusion problem and first applications. (English) Zbl 1398.49030 Decis. Econ. Finance 40, No. 1-2, 277-299 (2017). MSC: 49N15 91B55 90C25 PDFBibTeX XMLCite \textit{H. Mokhtar-Kharroubi}, Decis. Econ. Finance 40, No. 1--2, 277--299 (2017; Zbl 1398.49030) Full Text: DOI
Alves, José F.; Carvalho, Maria; Siqueira, Jaqueline Equilibrium states for impulsive semiflows. (English) Zbl 1447.37035 J. Math. Anal. Appl. 451, No. 2, 839-857 (2017). MSC: 37C55 49N25 PDFBibTeX XMLCite \textit{J. F. Alves} et al., J. Math. Anal. Appl. 451, No. 2, 839--857 (2017; Zbl 1447.37035) Full Text: DOI arXiv
Pakniyat, Ali; Caines, Peter E. Hybrid optimal control of an electric vehicle with a dual-planetary transmission. (English) Zbl 1376.49005 Nonlinear Anal., Hybrid Syst. 25, 263-282 (2017). MSC: 49J35 78A55 PDFBibTeX XMLCite \textit{A. Pakniyat} and \textit{P. E. Caines}, Nonlinear Anal., Hybrid Syst. 25, 263--282 (2017; Zbl 1376.49005) Full Text: DOI
Bonneuil, N.; Boucekkine, R. Optimal transition to renewable energy with threshold of irreversible pollution. (English) Zbl 1346.91173 Eur. J. Oper. Res. 248, No. 1, 257-262 (2016). MSC: 91B76 49N90 PDFBibTeX XMLCite \textit{N. Bonneuil} and \textit{R. Boucekkine}, Eur. J. Oper. Res. 248, No. 1, 257--262 (2016; Zbl 1346.91173) Full Text: DOI Link
Liu, Jun; Xiao, Mingqing A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions. (English) Zbl 1382.49023 J. Comput. Appl. Math. 307, 216-234 (2016). MSC: 49M25 65M12 PDFBibTeX XMLCite \textit{J. Liu} and \textit{M. Xiao}, J. Comput. Appl. Math. 307, 216--234 (2016; Zbl 1382.49023) Full Text: DOI
Ferretti, Roberto; Zidani, Hasnaa Monotone numerical schemes and feedback construction for hybrid control systems. (English) Zbl 1318.49056 J. Optim. Theory Appl. 165, No. 2, 507-531 (2015). MSC: 49M30 49N35 93C30 93B52 49L20 PDFBibTeX XMLCite \textit{R. Ferretti} and \textit{H. Zidani}, J. Optim. Theory Appl. 165, No. 2, 507--531 (2015; Zbl 1318.49056) Full Text: DOI
Zhang, Lingling; Yamazaki, Noriaki; Guo, Rui Positive solutions for impulsive differential equations with mixed monotonicity and optimal control. (English) Zbl 1469.34045 Abstr. Appl. Anal. 2014, Article ID 974968, 11 p. (2014). MSC: 34B18 34B37 49J21 PDFBibTeX XMLCite \textit{L. Zhang} et al., Abstr. Appl. Anal. 2014, Article ID 974968, 11 p. (2014; Zbl 1469.34045) Full Text: DOI
Santos, Iguer L. D.; Silva, Geraldo N. Filippov’s selection theorem and the existence of solutions for optimal control problems in time scales. (English) Zbl 1306.49008 Comput. Appl. Math. 33, No. 1, 223-241 (2014). MSC: 49J21 49J53 49J15 37N35 PDFBibTeX XMLCite \textit{I. L. D. Santos} and \textit{G. N. Silva}, Comput. Appl. Math. 33, No. 1, 223--241 (2014; Zbl 1306.49008) Full Text: DOI
Meherrem, Shahlar; Akbarov, Rufan Optimal control problem for switched system with the nonsmooth cost functional. (English) Zbl 1470.49050 Abstr. Appl. Anal. 2013, Article ID 681862, 6 p. (2013). MSC: 49K21 49J52 PDFBibTeX XMLCite \textit{S. Meherrem} and \textit{R. Akbarov}, Abstr. Appl. Anal. 2013, Article ID 681862, 6 p. (2013; Zbl 1470.49050) Full Text: DOI
Boţ, Radu Ioan; Csetnek, Ernö Robert Conjugate duality and the control of linear discrete systems. (English) Zbl 1301.49092 J. Optim. Theory Appl. 159, No. 3, 576-589 (2013). Reviewer: Rembert Reemtsen (Cottbus) MSC: 49N15 49J27 49K27 49J52 90C25 90C46 90C48 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, J. Optim. Theory Appl. 159, No. 3, 576--589 (2013; Zbl 1301.49092) Full Text: DOI
Guo, Wen-Jing; Cai, Jun Portfolio optimization with uncertain exit time in infinite-time horizon. (English) Zbl 1292.91162 Acta Math. Appl. Sin., Engl. Ser. 29, No. 4, 673-684 (2013). MSC: 91G10 90C39 49L20 PDFBibTeX XMLCite \textit{W.-J. Guo} and \textit{J. Cai}, Acta Math. Appl. Sin., Engl. Ser. 29, No. 4, 673--684 (2013; Zbl 1292.91162) Full Text: DOI
Wong, K. H.; Lee, H. W. J.; Chan, C. K.; Myburgh, C. Control parametrization and finite element method for controlling multi-species reactive transport in an underground channel. (English) Zbl 1266.49057 J. Optim. Theory Appl. 157, No. 1, 168-187 (2013). MSC: 49M25 49N90 90C31 90C90 92D40 PDFBibTeX XMLCite \textit{K. H. Wong} et al., J. Optim. Theory Appl. 157, No. 1, 168--187 (2013; Zbl 1266.49057) Full Text: DOI
Wang, JinRong; Fečkan, Michal; Zhou, Yong Relaxed controls for nonlinear fractional impulsive evolution equations. (English) Zbl 1263.49038 J. Optim. Theory Appl. 156, No. 1, 13-32 (2013). MSC: 49N25 49J45 34A08 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Optim. Theory Appl. 156, No. 1, 13--32 (2013; Zbl 1263.49038) Full Text: DOI
Kowalewski, Adam; Lasiecka, Irena; Sokołowski, Jan Sensitivity analysis of hyperbolic optimal control problems. (English) Zbl 1262.49028 Comput. Optim. Appl. 52, No. 1, 147-179 (2012). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49K40 49K20 35L20 35L05 PDFBibTeX XMLCite \textit{A. Kowalewski} et al., Comput. Optim. Appl. 52, No. 1, 147--179 (2012; Zbl 1262.49028) Full Text: DOI
van der Pijl, S. P.; Oosterlee, C. W. An ENO-based method for second-order equations and application to the control of dike levels. (English) Zbl 1245.65077 J. Sci. Comput. 50, No. 2, 462-492 (2012). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 35K20 49L25 35F21 91B62 49J20 49M25 35L65 65M06 PDFBibTeX XMLCite \textit{S. P. van der Pijl} and \textit{C. W. Oosterlee}, J. Sci. Comput. 50, No. 2, 462--492 (2012; Zbl 1245.65077) Full Text: DOI
Bagagiolo, Fabio; Danieli, Katia Infinite horizon optimal control problems with multiple thermostatic hybrid dynamics. (English) Zbl 1242.49057 Nonlinear Anal., Hybrid Syst. 6, No. 2, 824-838 (2012). MSC: 49L20 93C15 PDFBibTeX XMLCite \textit{F. Bagagiolo} and \textit{K. Danieli}, Nonlinear Anal., Hybrid Syst. 6, No. 2, 824--838 (2012; Zbl 1242.49057) Full Text: DOI Link
Wong, K. H.; Lee, H. W. J.; Chan, C. K. Control parametrization and finite element method for controlling multi-species reactive transport in a rectangular diffuser unit. (English) Zbl 1221.49057 J. Optim. Theory Appl. 150, No. 1, 118-141 (2011). MSC: 49M15 35Q93 PDFBibTeX XMLCite \textit{K. H. Wong} et al., J. Optim. Theory Appl. 150, No. 1, 118--141 (2011; Zbl 1221.49057) Full Text: DOI
Howlett, P. G.; Pudney, P. J.; Vu, Xuan Local energy minimization in optimal train control. (English) Zbl 1180.49043 Automatica 45, No. 11, 2692-2698 (2009). MSC: 49N90 49S05 49M30 PDFBibTeX XMLCite \textit{P. G. Howlett} et al., Automatica 45, No. 11, 2692--2698 (2009; Zbl 1180.49043) Full Text: DOI
Mailleret, Ludovic; Grognard, Frédéric Global stability and optimisation of a general impulsive biological control model. (English) Zbl 1175.92070 Math. Biosci. 221, No. 2, 91-100 (2009). MSC: 92D40 34C60 34H05 34D05 49N90 PDFBibTeX XMLCite \textit{L. Mailleret} and \textit{F. Grognard}, Math. Biosci. 221, No. 2, 91--100 (2009; Zbl 1175.92070) Full Text: DOI arXiv
Wang, Quan-Fang Computation issue of pointwise controls for diffusion Hopfield neural network system. (English) Zbl 1159.65331 Appl. Math. Comput. 207, No. 1, 148-163 (2009). MSC: 65K10 49L20 49M15 PDFBibTeX XMLCite \textit{Q.-F. Wang}, Appl. Math. Comput. 207, No. 1, 148--163 (2009; Zbl 1159.65331) Full Text: DOI
Eppler, Karsten; Harbrecht, Helmut; Mommer, Mario S. A new fictitious domain method in shape optimization. (English) Zbl 1152.49043 Comput. Optim. Appl. 40, No. 2, 281-298 (2008). MSC: 49Q10 65K10 49K20 PDFBibTeX XMLCite \textit{K. Eppler} et al., Comput. Optim. Appl. 40, No. 2, 281--298 (2008; Zbl 1152.49043) Full Text: DOI
Li, R.; Feng, Z. G.; Teo, K. L.; Duan, G. R. Optimal piecewise state feedback control for impulsive switched systems. (English) Zbl 1145.93352 Math. Comput. Modelling 48, No. 3-4, 468-479 (2008). MSC: 93B52 49K25 PDFBibTeX XMLCite \textit{R. Li} et al., Math. Comput. Modelling 48, No. 3--4, 468--479 (2008; Zbl 1145.93352) Full Text: DOI
Bressan, Alberto Singular limits for impulsive Lagrangian systems with dissipative sources. (English) Zbl 1350.70041 Staicu, Vasile (ed.), Differential equations, chaos and variational problems. Papers from the conference “Views on ODE’s”, Aveiro, Portugal, June 2006. Basel: Birkhäuser (ISBN 978-3-7643-8481-4/hbk). Progress in Nonlinear Differential Equations and Their Applications 75, 79-103 (2008). MSC: 70H03 70Q05 34H05 34A36 34A37 49J30 PDFBibTeX XMLCite \textit{A. Bressan}, Prog. Nonlinear Differ. Equ. Appl. 75, 79--103 (2008; Zbl 1350.70041) Full Text: DOI
Bratus, A. S.; Ivanova, A. P.; Iourtchenko, D. V.; Menaldi, J. L. Local solutions of the Hamilton-Jacobi-Bellman equation for some stochastic problems. (English) Zbl 1142.93038 Autom. Remote Control 68, No. 6, 1023-1038 (2007); translation from Avtom. Telemekh. 2007, No. 6, 99-115 (2007). MSC: 93E20 70Q05 93E03 49L20 PDFBibTeX XMLCite \textit{A. S. Bratus} et al., Autom. Remote Control 68, No. 6, 1023--1038 (2007; Zbl 1142.93038); translation from Avtom. Telemekh. 2007, No. 6, 99--115 (2007) Full Text: DOI
Li, Kezan; Feng, Enmin; Xiu, Zhilong Optimal control and optimization algorithm of nonlinear impulsive delay system producing 1,3-propanediol. (English) Zbl 1122.49034 J. Appl. Math. Comput. 24, No. 1-2, 387-397 (2007). MSC: 49N90 93C15 90C15 90C30 49M30 PDFBibTeX XMLCite \textit{K. Li} et al., J. Appl. Math. Comput. 24, No. 1--2, 387--397 (2007; Zbl 1122.49034) Full Text: DOI
Ahmed, N. U. Evolution equations determined by operator valued measures and optimal control. (English) Zbl 1119.49004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 11, 3199-3216 (2007). MSC: 49J27 49J24 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 11, 3199--3216 (2007; Zbl 1119.49004) Full Text: DOI
Jiang, Guirong; Lu, Qishao Impulsive state feedback control of a predator-prey model. (English) Zbl 1134.49024 J. Comput. Appl. Math. 200, No. 1, 193-207 (2007). MSC: 49N75 PDFBibTeX XMLCite \textit{G. Jiang} and \textit{Q. Lu}, J. Comput. Appl. Math. 200, No. 1, 193--207 (2007; Zbl 1134.49024) Full Text: DOI
Boscain, U.; Nikolaev, I.; Piccoli, B. Classification of stable time-optimal controls on 2-manifolds. (English) Zbl 1244.49031 J. Math. Sci., New York 135, No. 4, 3109-3124 (2006); translation from Sovrem. Mat. Prilozh. 21, 19-35 (2004). MSC: 49K10 57R30 93B99 PDFBibTeX XMLCite \textit{U. Boscain} et al., J. Math. Sci., New York 135, No. 4, 3109--3124 (2006; Zbl 1244.49031); translation from Sovrem. Mat. Prilozh. 21, 19--35 (2004) Full Text: DOI
Peng, Y.; Xiang, X-; Wei, W. Optimal feedback control for a class of strongly nonlinear impulsive evolution equations. (English) Zbl 1122.49030 Comput. Math. Appl. 52, No. 5, 759-768 (2006). MSC: 49N45 49J15 47N10 PDFBibTeX XMLCite \textit{Y. Peng} et al., Comput. Math. Appl. 52, No. 5, 759--768 (2006; Zbl 1122.49030) Full Text: DOI
Liu, Yanqun; Eberhard, A.; Teo, Kok Lay A numerical method for a class of mixed switching and impulsive optimal control problems. (English) Zbl 1122.49025 Comput. Math. Appl. 52, No. 5, 625-636 (2006). MSC: 49M30 65K10 93B40 49K30 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 52, No. 5, 625--636 (2006; Zbl 1122.49025) Full Text: DOI
Tröltzsch, Fredi; Wachsmuth, Daniel Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. (English) Zbl 1111.49017 ESAIM, Control Optim. Calc. Var. 12, 93-119 (2006). Reviewer: Erich Miersemann (Leipzig) MSC: 49K20 35Q30 76D55 PDFBibTeX XMLCite \textit{F. Tröltzsch} and \textit{D. Wachsmuth}, ESAIM, Control Optim. Calc. Var. 12, 93--119 (2006; Zbl 1111.49017) Full Text: DOI Numdam EuDML
Xiao, Yanni; Cheng, Daizhan; Qin, Huasu Optimal impulsive control in periodic ecosystem. (English) Zbl 1129.49308 Syst. Control Lett. 55, No. 7, 558-565 (2006). MSC: 49N90 92D40 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Syst. Control Lett. 55, No. 7, 558--565 (2006; Zbl 1129.49308) Full Text: DOI
Dharmatti, S.; Ramaswamy, M. Zero-sum differential games involving hybrid controls. (English) Zbl 1099.91022 J. Optimization Theory Appl. 128, No. 1, 75-102 (2006). Reviewer: Giacomo Bonanno (Davis) MSC: 91A23 49N70 93C57 91A05 PDFBibTeX XMLCite \textit{S. Dharmatti} and \textit{M. Ramaswamy}, J. Optim. Theory Appl. 128, No. 1, 75--102 (2006; Zbl 1099.91022) Full Text: DOI
Wei, Wei; Xiang, X. Optimal control for a class of strongly nonlinear impulsive equations in Banach spaces. (English) Zbl 1153.49300 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e53-e63 (2005). MSC: 49J20 35K90 PDFBibTeX XMLCite \textit{W. Wei} and \textit{X. Xiang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e53--e63 (2005; Zbl 1153.49300) Full Text: DOI
Ahmed, N. U. Measure solutions for evolution equations with discontinuous vector fields and their optimal control. (English) Zbl 1153.49301 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e33-e42 (2005). MSC: 49J27 34H05 93C25 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e33--e42 (2005; Zbl 1153.49301) Full Text: DOI
Ping, Chen; Craven, B. D. Computing switching times in bang-bang control. (English) Zbl 1153.49029 Opsearch 42, No. 1, 55-69 (2005). MSC: 49M30 49K15 49J30 PDFBibTeX XMLCite \textit{C. Ping} and \textit{B. D. Craven}, Opsearch 42, No. 1, 55--69 (2005; Zbl 1153.49029) Full Text: DOI
Griesse, Roland; Hintermüller, Michael; Hinze, Michael Differential stability of control-constrained optimal control problems for the Navier-Stokes equations. (English) Zbl 1094.35090 Numer. Funct. Anal. Optimization 26, No. 7-8, 829-850 (2005). Reviewer: Yves Cherruault (Paris) MSC: 35Q30 49K40 35B37 PDFBibTeX XMLCite \textit{R. Griesse} et al., Numer. Funct. Anal. Optim. 26, No. 7--8, 829--850 (2005; Zbl 1094.35090) Full Text: DOI
Pang, Yan; Spathopoulos, M. P. Time-optimal control for discrete-time hybrid automata. (English) Zbl 1101.93051 Int. J. Control 78, No. 11, 847-863 (2005). Reviewer: Neculai Curteanu (Iaşi) MSC: 93C65 49K30 68Q45 93B40 PDFBibTeX XMLCite \textit{Y. Pang} and \textit{M. P. Spathopoulos}, Int. J. Control 78, No. 11, 847--863 (2005; Zbl 1101.93051) Full Text: DOI
Liu, Bing; Zhang, Yujuan; Chen, Lansun Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control. (English) Zbl 1058.92047 Chaos Solitons Fractals 22, No. 1, 123-134 (2004). MSC: 92D40 37N25 49N25 34A37 34C25 34C60 49N90 34D05 PDFBibTeX XMLCite \textit{B. Liu} et al., Chaos Solitons Fractals 22, No. 1, 123--134 (2004; Zbl 1058.92047) Full Text: DOI
Crück, Eva; Saint-Pierre, Patrick Nonlinear impulse target problems under state constraint: a numerical analysis based on viability theory. (English) Zbl 1061.49024 Set-Valued Anal. 12, No. 4, 383-416 (2004). MSC: 49N25 49J24 93C10 34A60 34A37 PDFBibTeX XMLCite \textit{E. Crück} and \textit{P. Saint-Pierre}, Set-Valued Anal. 12, No. 4, 383--416 (2004; Zbl 1061.49024) Full Text: DOI
Sattayatham, P. Strongly nonlinear impulsive evolution equations and optimal control. (English) Zbl 1065.49023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 7-8, 1005-1020 (2004). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 49N25 49J27 34G20 93C25 34A37 49J15 PDFBibTeX XMLCite \textit{P. Sattayatham}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 7--8, 1005--1020 (2004; Zbl 1065.49023) Full Text: DOI
Haslinger, J.; Kozubek, T.; Kunisch, K.; Peichl, G. An embedding domain approach for a class of 2-d shape optimization problems: Mathematical analysis. (English) Zbl 1034.49042 J. Math. Anal. Appl. 290, No. 2, 665-685 (2004). MSC: 49Q10 35R35 65N99 PDFBibTeX XMLCite \textit{J. Haslinger} et al., J. Math. Anal. Appl. 290, No. 2, 665--685 (2004; Zbl 1034.49042) Full Text: DOI
Frangos, C.; Yavin, Y. Point-to-point control for nonlinear systems. (English) Zbl 1054.93011 Comput. Math. Appl. 46, No. 8-9, 1373-1385 (2003). Reviewer: Bojidar Cheshankov (Sofia) MSC: 93B05 49K15 93C10 70Q05 PDFBibTeX XMLCite \textit{C. Frangos} and \textit{Y. Yavin}, Comput. Math. Appl. 46, No. 8--9, 1373--1385 (2003; Zbl 1054.93011) Full Text: DOI
Hilscher, R.; Zeidan, V. Nonnegativity of a discrete quadratic functional in terms of the (strengthened) Legendre and Jacobi conditions. (English) Zbl 1044.49020 Comput. Math. Appl. 45, No. 6-9, 1369-1383 (2003). MSC: 49K30 39A12 90C46 93C55 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, Comput. Math. Appl. 45, No. 6--9, 1369--1383 (2003; Zbl 1044.49020) Full Text: DOI
Trontis, Anastasios; Spathopoulos, Michael P. Supervisor target control for hybrid systems. (English) Zbl 1047.93004 Int. J. Control 76, No. 11, 1142-1158 (2003). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 93A13 93C30 93C65 93C83 49L20 PDFBibTeX XMLCite \textit{A. Trontis} and \textit{M. P. Spathopoulos}, Int. J. Control 76, No. 11, 1142--1158 (2003; Zbl 1047.93004) Full Text: DOI
Lee, H. W. J.; Teo, K. L. Control parametrization enhancing technique for solving a special ODE class with state dependent switch. (English) Zbl 1030.65077 J. Optimization Theory Appl. 118, No. 1, 55-66 (2003). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L05 34A34 49J15 65K10 PDFBibTeX XMLCite \textit{H. W. J. Lee} and \textit{K. L. Teo}, J. Optim. Theory Appl. 118, No. 1, 55--66 (2003; Zbl 1030.65077) Full Text: DOI
Hilscher, Roman; Zeidan, Vera Symplectic difference systems: Variable stepsize discretization and discrete quadratic functionals. (English) Zbl 1021.39008 Linear Algebra Appl. 367, 67-104 (2003). Reviewer: Yang En-Hao (Guangzhou) MSC: 39A12 93C55 49J15 65K10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, Linear Algebra Appl. 367, 67--104 (2003; Zbl 1021.39008) Full Text: DOI
Hilscher, Roman; Zeidan, Vera Coupled intervals in the discrete calculus of variations: necessity and sufficiency. (English) Zbl 1032.49038 J. Math. Anal. Appl. 276, No. 1, 396-421 (2002). Reviewer: Ştefan Mirică (Bucureşti) MSC: 49K30 49N10 39A12 39A13 93C55 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, J. Math. Anal. Appl. 276, No. 1, 396--421 (2002; Zbl 1032.49038) Full Text: DOI
Ahmed, N. U. Necessary conditions of optimality for impulsive systems on Banach spaces. (English) Zbl 1095.49513 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 3, 409-424 (2002). Reviewer: Vladimir I. Sumin (MR 2004g:49044) MSC: 49K27 49N25 34A37 34G20 34H05 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 3, 409--424 (2002; Zbl 1095.49513) Full Text: DOI
Crück, E. Target problems under state constraints for nonlinear controlled impulsive systems. (English) Zbl 1004.49027 J. Math. Anal. Appl. 270, No. 2, 636-656 (2002). MSC: 49N25 PDFBibTeX XMLCite \textit{E. Crück}, J. Math. Anal. Appl. 270, No. 2, 636--656 (2002; Zbl 1004.49027) Full Text: DOI
Tröltzsch, Fredi; Volkwein, Stefan The SQP method for control constrained optimal control of the Burgers equation. (English) Zbl 1001.49035 ESAIM, Control Optim. Calc. Var. 6, 649-674 (2001). MSC: 49M30 49J20 49K20 35Q53 76N25 65K05 PDFBibTeX XMLCite \textit{F. Tröltzsch} and \textit{S. Volkwein}, ESAIM, Control Optim. Calc. Var. 6, 649--674 (2001; Zbl 1001.49035) Full Text: DOI Numdam EuDML
Lagnese, John E. A singular perturbation problem in exact controllability of the Maxwell system. (English) Zbl 1030.93025 ESAIM, Control Optim. Calc. Var. 6, 275-289 (2001). Reviewer: Marian Ivanovici (Craiova) MSC: 93C20 93B05 35Q60 49N10 PDFBibTeX XMLCite \textit{J. E. Lagnese}, ESAIM, Control Optim. Calc. Var. 6, 275--289 (2001; Zbl 1030.93025) Full Text: DOI Numdam EuDML
Ahmed, N. U. Systems governed by impulsive differential inclusions on Hilbert spaces. (English) Zbl 0995.34053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 6, 693-706 (2001). Reviewer: Daniel C.Biles (Bowling Green) MSC: 34G25 34H05 34A37 34A12 49N25 93B03 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 45, No. 6, 693--706 (2001; Zbl 0995.34053) Full Text: DOI
Gunzburger, Max D.; Kim, Hongchul; Manservisi, Sandro On a shape control problem for the stationary Navier-Stokes equations. (English) Zbl 0981.76027 M2AN, Math. Model. Numer. Anal. 34, No. 6, 1233-1258 (2000). MSC: 76D55 76D05 49J20 76M30 PDFBibTeX XMLCite \textit{M. D. Gunzburger} et al., M2AN, Math. Model. Numer. Anal. 34, No. 6, 1233--1258 (2000; Zbl 0981.76027) Full Text: DOI EuDML Link
Bensoussan, A.; Menaldi, J. L. Stochastic hybrid control. (English) Zbl 0967.93097 J. Math. Anal. Appl. 249, No. 1, 261-288 (2000). Reviewer: Yu.S.Mishura (Kyïv) MSC: 93E20 93B12 49L25 PDFBibTeX XMLCite \textit{A. Bensoussan} and \textit{J. L. Menaldi}, J. Math. Anal. Appl. 249, No. 1, 261--288 (2000; Zbl 0967.93097) Full Text: DOI Link
Hilscher, Roman; Zeidan, Vera Discrete optimal control: The accessory problem and necessary optimality conditions. (English) Zbl 0987.49016 J. Math. Anal. Appl. 243, No. 2, 429-452 (2000). MSC: 49K30 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, J. Math. Anal. Appl. 243, No. 2, 429--452 (2000; Zbl 0987.49016) Full Text: DOI
Mäkinen, Raino A. E.; Rossi, Tuomo; Toivanen, Jari A moving mesh fictitious domain approach for shape optimization problems. (English) Zbl 0948.65064 M2AN, Math. Model. Numer. Anal. 34, No. 1, 31-45 (2000). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K10 49J20 49M29 PDFBibTeX XMLCite \textit{R. A. E. Mäkinen} et al., M2AN, Math. Model. Numer. Anal. 34, No. 1, 31--45 (2000; Zbl 0948.65064) Full Text: DOI EuDML Link
Peichl, G. H.; Ring, W. Asymptotic commutativity of differentiation and discretization in shape optimization. (English) Zbl 0990.49027 Math. Comput. Modelling 29, No. 5, 19-37 (1999). MSC: 49Q10 49Q12 78M10 49N90 PDFBibTeX XMLCite \textit{G. H. Peichl} and \textit{W. Ring}, Math. Comput. Modelling 29, No. 5, 19--37 (1999; Zbl 0990.49027) Full Text: DOI
Malanowski, K.; Tröltzsch, F. Lipschitz stability of solutions to parametric optimal control problems for parabolic equations. (English) Zbl 0963.49019 Z. Anal. Anwend. 18, No. 2, 469-489 (1999). Reviewer: J.-P.Raymond (Toulouse) MSC: 49K40 35K55 49K20 49K30 PDFBibTeX XMLCite \textit{K. Malanowski} and \textit{F. Tröltzsch}, Z. Anal. Anwend. 18, No. 2, 469--489 (1999; Zbl 0963.49019) Full Text: DOI EuDML
Lee, H. W. J.; Teo, K. L.; Rehbock, V. Suboptimal local feedback control for a class of constrained discrete time nonlinear control problems. (English) Zbl 0947.93028 Comput. Math. Appl. 36, No. 10-12, 133-148 (1998). Reviewer: E.Yaz (Fayetteville) MSC: 93C55 49N35 93B52 93C10 PDFBibTeX XMLCite \textit{H. W. J. Lee} et al., Comput. Math. Appl. 36, No. 10--12, 133--148 (1998; Zbl 0947.93028) Full Text: DOI
Liu, Y.; Teo, K. L.; Jennings, L. S.; Wang, S. On a class of optimal control problems with state jumps. (English) Zbl 0908.49023 J. Optimization Theory Appl. 98, No. 1, 65-82 (1998). MSC: 90C52 49K15 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Optim. Theory Appl. 98, No. 1, 65--82 (1998; Zbl 0908.49023) Full Text: DOI