Shirazian, Mohammad An iterative Legendre pseudospectral method for suboptimal control of nonlinear control affine systems. (English) Zbl 07758725 Math. Commun. 28, No. 1, 153-169 (2023). MSC: 49M05 65K10 PDFBibTeX XMLCite \textit{M. Shirazian}, Math. Commun. 28, No. 1, 153--169 (2023; Zbl 07758725) Full Text: Link
Chekurin, V. F.; Khymko, O. M. Mathematical models for the integrity control of the linear parts of gas mains. (English. Ukrainian original) Zbl 1521.76787 J. Math. Sci., New York 273, No. 6, 1051-1062 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 139-149 (2020). MSC: 76N25 76N15 PDFBibTeX XMLCite \textit{V. F. Chekurin} and \textit{O. M. Khymko}, J. Math. Sci., New York 273, No. 6, 1051--1062 (2023; Zbl 1521.76787); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 139--149 (2020) Full Text: DOI
Yang, Chaoyi; Fabien, Brian C. An adaptive mesh refinement method for indirectly solving optimal control problems. (English) Zbl 1496.65078 Numer. Algorithms 91, No. 1, 193-225 (2022). MSC: 65K10 49M25 65L60 PDFBibTeX XMLCite \textit{C. Yang} and \textit{B. C. Fabien}, Numer. Algorithms 91, No. 1, 193--225 (2022; Zbl 1496.65078) Full Text: DOI
Biswas, Karnika; Kar, Indrani; Feron, Eric A priority-driven optimal guidance approach to moving target tracking for safe navigation in a narrow space. (English) Zbl 1483.93452 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 138-153 (2022). MSC: 93C95 93C30 93B52 PDFBibTeX XMLCite \textit{K. Biswas} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 138--153 (2022; Zbl 1483.93452) Full Text: DOI
Mehrpouya, Mohammad Ali; Peng, Haijun A robust pseudospectral method for numerical solution of nonlinear optimal control problems. (English) Zbl 1483.49010 Int. J. Comput. Math. 98, No. 6, 1146-1165 (2021). MSC: 49J15 49K15 34B15 65M70 90C30 PDFBibTeX XMLCite \textit{M. A. Mehrpouya} and \textit{H. Peng}, Int. J. Comput. Math. 98, No. 6, 1146--1165 (2021; Zbl 1483.49010) Full Text: DOI
Kong, Nathan J.; Payne, J. Joe; Council, George; Johnson, Aaron M. The salted Kalman filter: Kalman filtering on hybrid dynamical systems. (English) Zbl 1478.93690 Automatica 131, Article ID 109752, 10 p. (2021). MSC: 93E11 93C30 93C10 PDFBibTeX XMLCite \textit{N. J. Kong} et al., Automatica 131, Article ID 109752, 10 p. (2021; Zbl 1478.93690) Full Text: DOI arXiv
Menini, Laura; Possieri, Corrado; Tornambè, Antonio Design of high-gain observers based on sampled measurements via the interval arithmetic. (English) Zbl 1478.93226 Automatica 131, Article ID 109741, 9 p. (2021). MSC: 93B53 93C55 93C05 PDFBibTeX XMLCite \textit{L. Menini} et al., Automatica 131, Article ID 109741, 9 p. (2021; Zbl 1478.93226) Full Text: DOI
Kantner, Markus; Koprucki, Thomas Beyond just “flattening the curve”: optimal control of epidemics with purely non-pharmaceutical interventions. (English) Zbl 1469.92113 J. Math. Ind. 10, Paper No. 23, 23 p. (2020). MSC: 92D30 PDFBibTeX XMLCite \textit{M. Kantner} and \textit{T. Koprucki}, J. Math. Ind. 10, Paper No. 23, 23 p. (2020; Zbl 1469.92113) Full Text: DOI arXiv
Hao, Zhiwei; Fujimoto, Kenji; Zhang, Qiuhua Approximate solutions to the Hamilton-Jacobi equations for generating functions. (English) Zbl 1447.49050 J. Syst. Sci. Complex. 33, No. 2, 261-288 (2020). MSC: 49M41 35F21 PDFBibTeX XMLCite \textit{Z. Hao} et al., J. Syst. Sci. Complex. 33, No. 2, 261--288 (2020; Zbl 1447.49050) Full Text: DOI
Yazdaniyan, Z.; Shamsi, M.; Foroozandeh, Z.; de Pinho, Maria do Rosário A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games. (English) Zbl 1432.49058 J. Comput. Appl. Math. 368, Article ID 112535, 19 p. (2020). MSC: 49N75 49N70 49N90 90C33 49J15 49M37 PDFBibTeX XMLCite \textit{Z. Yazdaniyan} et al., J. Comput. Appl. Math. 368, Article ID 112535, 19 p. (2020; Zbl 1432.49058) Full Text: DOI
Poloskov, Igor’ Egorovich Combination of the method of steps and an expansion of the state space for analyzing linear stochastic systems with various forms of delays and random inputs in the form of additive and multiplicative white noises. (Russian. English summary) Zbl 1458.93237 Differ. Uravn. Protsessy Upr. 2019, No. 2, 101-125 (2019). MSC: 93E03 93C23 93C43 93C05 PDFBibTeX XMLCite \textit{I. E. Poloskov}, Differ. Uravn. Protsessy Upr. 2019, No. 2, 101--125 (2019; Zbl 1458.93237) Full Text: Link
Han, Jihun; Vahidi, Ardalan; Sciarretta, Antonio Fundamentals of energy efficient driving for combustion engine and electric vehicles: an optimal control perspective. (English) Zbl 1412.49079 Automatica 103, 558-572 (2019). MSC: 49N90 93A30 90B06 49K30 PDFBibTeX XMLCite \textit{J. Han} et al., Automatica 103, 558--572 (2019; Zbl 1412.49079) Full Text: DOI
Bensoussan, Alain; Skaaning, Sonny; Turi, Janos Inventory control with fixed cost and price optimization in continuous time. (English) Zbl 1458.90009 J. Appl. Anal. Comput. 8, No. 3, 805-835 (2018). MSC: 90B05 90C39 90C15 90C33 93E20 PDFBibTeX XMLCite \textit{A. Bensoussan} et al., J. Appl. Anal. Comput. 8, No. 3, 805--835 (2018; Zbl 1458.90009) Full Text: DOI
Putkaradze, Vakhtang; Rogers, Stuart Constraint control of nonholonomic mechanical systems. (English) Zbl 1387.70027 J. Nonlinear Sci. 28, No. 1, 193-234 (2018). MSC: 70Q05 70E17 70B10 65L10 65P99 65-04 49K15 37J60 70F25 93B05 93B40 93C10 93C15 PDFBibTeX XMLCite \textit{V. Putkaradze} and \textit{S. Rogers}, J. Nonlinear Sci. 28, No. 1, 193--234 (2018; Zbl 1387.70027) Full Text: DOI arXiv
Nik, Hassan Saberi; Zarasvand, Tolu Optimal and adaptive control of an epidemic model of influenza with unknown parameters. (English) Zbl 1474.49005 J. Math. Ext. 11, No. 3, 103-127 (2017). MSC: 49J15 37B25 37N25 37N35 92D30 49N35 49K15 49S05 PDFBibTeX XMLCite \textit{H. S. Nik} and \textit{T. Zarasvand}, J. Math. Ext. 11, No. 3, 103--127 (2017; Zbl 1474.49005) Full Text: Link
Alipour, Khalil; Daemi, Parisa; Hassanpour, Arman; Tarvirdizadeh, Bahram On the capability of wheeled mobile robots for heavy object manipulation considering dynamic stability constraints. (English) Zbl 1430.70025 Multibody Syst. Dyn. 41, No. 2, 101-123 (2017). MSC: 70E60 PDFBibTeX XMLCite \textit{K. Alipour} et al., Multibody Syst. Dyn. 41, No. 2, 101--123 (2017; Zbl 1430.70025) Full Text: DOI
Górajski, Mariusz; Machowska, Dominika Optimal double control problem for a PDE model of goodwill dynamics. (English) Zbl 1376.49003 Math. Methods Oper. Res. 85, No. 3, 425-452 (2017). MSC: 49J20 49K20 49M05 90B60 91B60 91B15 91B24 PDFBibTeX XMLCite \textit{M. Górajski} and \textit{D. Machowska}, Math. Methods Oper. Res. 85, No. 3, 425--452 (2017; Zbl 1376.49003) Full Text: DOI arXiv Link
Bensoussan, Alain; Skaaning, Sonny Base stock list price policy in continuous time. (English) Zbl 1360.93767 Discrete Contin. Dyn. Syst., Ser. B 22, No. 1, 1-28 (2017). MSC: 93E20 91B25 49J40 90C39 90C15 90B05 PDFBibTeX XMLCite \textit{A. Bensoussan} and \textit{S. Skaaning}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 1, 1--28 (2017; Zbl 1360.93767) Full Text: DOI
Sabeh, Z.; Shamsi, M.; Dehghan, Mehdi Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach. (English) Zbl 1344.49053 Math. Methods Appl. Sci. 39, No. 12, 3350-3360 (2016). MSC: 49M30 49M37 49M05 49J20 49K15 65K10 65M70 35Q53 PDFBibTeX XMLCite \textit{Z. Sabeh} et al., Math. Methods Appl. Sci. 39, No. 12, 3350--3360 (2016; Zbl 1344.49053) Full Text: DOI
García, Pablo; Poznyak, Alexander Multi-model LQ-constrained \(\min\)-\(\max\) control. (English) Zbl 1338.49075 Optim. Control Appl. Methods 37, No. 2, 359-380 (2016). MSC: 49N10 34H05 PDFBibTeX XMLCite \textit{P. García} and \textit{A. Poznyak}, Optim. Control Appl. Methods 37, No. 2, 359--380 (2016; Zbl 1338.49075) Full Text: DOI
Malisani, P.; Chaplais, F.; Petit, N. An interior penalty method for optimal control problems with state and input constraints of nonlinear systems. (English) Zbl 1336.49038 Optim. Control Appl. Methods 37, No. 1, 3-33 (2016). MSC: 49M30 90C51 93C10 93C35 PDFBibTeX XMLCite \textit{P. Malisani} et al., Optim. Control Appl. Methods 37, No. 1, 3--33 (2016; Zbl 1336.49038) Full Text: DOI
Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M. A numerical solution of open-loop Nash equilibrium in nonlinear differential games based on Chebyshev pseudospectral method. (English) Zbl 1335.49051 J. Comput. Appl. Math. 300, 369-384 (2016). MSC: 49M30 49N70 49K15 91A23 PDFBibTeX XMLCite \textit{Z. Nikooeinejad} et al., J. Comput. Appl. Math. 300, 369--384 (2016; Zbl 1335.49051) Full Text: DOI
Kroshko, Andrew; Spiteri, Raymond J. odeToJava: a PSE for the numerical solution of IVPS. (English) Zbl 1347.65120 ACM Trans. Math. Softw. 41, No. 3, Article No. 17, 33 p. (2015). MSC: 65L05 65L06 65Y15 PDFBibTeX XMLCite \textit{A. Kroshko} and \textit{R. J. Spiteri}, ACM Trans. Math. Softw. 41, No. 3, Article No. 17, 33 p. (2015; Zbl 1347.65120) Full Text: DOI
Buchot, Jean-Marie; Raymond, Jean-Pierre; Tiago, Jorge Coupling estimation and control for a two dimensional Burgers type equation. (English) Zbl 1311.93032 ESAIM, Control Optim. Calc. Var. 21, No. 2, 535-560 (2015). MSC: 93B52 93C20 93E10 PDFBibTeX XMLCite \textit{J.-M. Buchot} et al., ESAIM, Control Optim. Calc. Var. 21, No. 2, 535--560 (2015; Zbl 1311.93032) Full Text: DOI
Sharma, Nikhil; Kern, Dominik; Seemann, Wolfgang Vibration analysis and robust control of highly deformable beams in a heavy pinched loop configuration. (English) Zbl 1317.74019 Z. Angew. Math. Phys. 66, No. 1, 239-252 (2015). MSC: 74B20 74H45 93C05 65L15 PDFBibTeX XMLCite \textit{N. Sharma} et al., Z. Angew. Math. Phys. 66, No. 1, 239--252 (2015; Zbl 1317.74019) Full Text: DOI
Kristopher Garrett, C.; Li, Ren-Cang GIP integrators for matrix Riccati differential equations. (English) Zbl 1337.65074 Appl. Math. Comput. 241, 283-297 (2014). MSC: 65L06 93C05 15A24 PDFBibTeX XMLCite \textit{C. Kristopher Garrett} and \textit{R.-C. Li}, Appl. Math. Comput. 241, 283--297 (2014; Zbl 1337.65074) Full Text: DOI
Kulikov, G. Yu.; Lima, P. M.; Morgado, M. L. Analysis and numerical approximation of singular boundary value problems with the \(p\)-Laplacian in fluid mechanics. (English) Zbl 1301.65079 J. Comput. Appl. Math. 262, 87-104 (2014). MSC: 65L10 65L06 34B16 PDFBibTeX XMLCite \textit{G. Yu. Kulikov} et al., J. Comput. Appl. Math. 262, 87--104 (2014; Zbl 1301.65079) Full Text: DOI
Nik, H. Saberi; Effati, S. An approximate method for solving a class of nonlinear optimal control problems. (English) Zbl 1290.49053 Optim. Control Appl. Methods 35, No. 3, 324-339 (2014). MSC: 49M05 49K15 93C10 93C15 PDFBibTeX XMLCite \textit{H. S. Nik} and \textit{S. Effati}, Optim. Control Appl. Methods 35, No. 3, 324--339 (2014; Zbl 1290.49053) Full Text: DOI
Boisvert, Jason J.; Muir, Paul H.; Spiteri, Raymond J. A Runge-Kutta BVODE solver with global error and defect control. (English) Zbl 1295.65141 ACM Trans. Math. Softw. 39, No. 2, Article No. 11, 22 p. (2013). MSC: 65Y15 65L06 65L10 PDFBibTeX XMLCite \textit{J. J. Boisvert} et al., ACM Trans. Math. Softw. 39, No. 2, Article No. 11, 22 p. (2013; Zbl 1295.65141) Full Text: DOI
Bayón, L.; Grau, J. M.; Ruiz, M. M.; Suárez, P. M. Numerical approximation to ODEs using the error functional. (English) Zbl 1279.65088 Proc. Am. Math. Soc. 140, No. 12, 4295-4308 (2012). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 65K10 34A34 49J15 65L70 PDFBibTeX XMLCite \textit{L. Bayón} et al., Proc. Am. Math. Soc. 140, No. 12, 4295--4308 (2012; Zbl 1279.65088) Full Text: DOI
Korayem, Moharam Habibnejad; Rahimi, H. N.; Nikoobin, A. Mathematical modeling and trajectory planning of mobile manipulators with flexible links and joints. (English) Zbl 1252.70027 Appl. Math. Modelling 36, No. 7, 3229-3244 (2012). MSC: 70E60 49N35 PDFBibTeX XMLCite \textit{M. H. Korayem} et al., Appl. Math. Modelling 36, No. 7, 3229--3244 (2012; Zbl 1252.70027) Full Text: DOI
Liu, Chein-Shan The Lie-group shooting method for solving multi-dimensional nonlinear boundary value problems. (English) Zbl 1237.49042 J. Optim. Theory Appl. 152, No. 2, 468-495 (2012). MSC: 49M30 34H05 93C10 93C15 PDFBibTeX XMLCite \textit{C.-S. Liu}, J. Optim. Theory Appl. 152, No. 2, 468--495 (2012; Zbl 1237.49042) Full Text: DOI Link
Ellinger, M.; Koelling, M. E.; Miller, D. A.; Severance, F. L.; Stahl, J. Exploring optimal current stimuli that provide membrane voltage tracking in a neuron model. (English) Zbl 1232.92034 Biol. Cybern. 104, No. 3, 185-195 (2011). MSC: 92C20 49N90 65C20 92C05 PDFBibTeX XMLCite \textit{M. Ellinger} et al., Biol. Cybern. 104, No. 3, 185--195 (2011; Zbl 1232.92034) Full Text: DOI
Pulverer, Gernot; Söderlind, Gustaf; Weinmüller, Ewa Automatic grid control in adaptive BVP solvers. (English) Zbl 1206.65198 Numer. Algorithms 56, No. 1, 61-92 (2011). MSC: 65L50 65L10 34B15 34E15 65L70 PDFBibTeX XMLCite \textit{G. Pulverer} et al., Numer. Algorithms 56, No. 1, 61--92 (2011; Zbl 1206.65198) Full Text: DOI Link
El-Sayed, A. T.; Kamel, M.; Eissa, M. Vibration reduction of a pitch-roll ship model with longitudinal and transverse absorbers under multi excitations. (English) Zbl 1205.70019 Math. Comput. Modelling 52, No. 9-10, 1877-1898 (2010). MSC: 70K99 34C25 PDFBibTeX XMLCite \textit{A. T. El-Sayed} et al., Math. Comput. Modelling 52, No. 9--10, 1877--1898 (2010; Zbl 1205.70019) Full Text: DOI
Thomé, Roberto C. A.; Yang, Hyun Mo; Esteva, Lourdes Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide. (English) Zbl 1180.92058 Math. Biosci. 223, No. 1, 12-23 (2010). MSC: 92C60 49N90 92D30 PDFBibTeX XMLCite \textit{R. C. A. Thomé} et al., Math. Biosci. 223, No. 1, 12--23 (2010; Zbl 1180.92058) Full Text: DOI
French, Mark; Ilchmann, Achim; Mueller, Markus Robust stabilization by linear output delay feedback. (English) Zbl 1203.93174 SIAM J. Control Optim. 48, No. 4, 2533-2561 (2009). MSC: 93D15 93D21 93B52 34D23 34K20 PDFBibTeX XMLCite \textit{M. French} et al., SIAM J. Control Optim. 48, No. 4, 2533--2561 (2009; Zbl 1203.93174) Full Text: DOI Link
Zhang, Xuping; Mills, James K.; Cleghorn, William L. Coupling characteristics of rigid body motion and elastic deformation of a 3-PRR parallel manipulator with flexible links. (English) Zbl 1178.70076 Multibody Syst. Dyn. 21, No. 2, 167-192 (2009). Reviewer: Franz Selig (Wien) MSC: 70E55 70E60 74K10 PDFBibTeX XMLCite \textit{X. Zhang} et al., Multibody Syst. Dyn. 21, No. 2, 167--192 (2009; Zbl 1178.70076) Full Text: DOI
Kierzenka, J.; Shampine, L. F. A BVP solver that controls residual and error. (English) Zbl 1154.65063 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1-2, 27-41 (2008). MSC: 65L10 65L70 34B15 PDFBibTeX XMLCite \textit{J. Kierzenka} and \textit{L. F. Shampine}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1--2, 27--41 (2008; Zbl 1154.65063)
White, T. Kirk Initial conditions at emancipation: the long-run effect on black-white wealth and earnings inequality. (English) Zbl 1163.91491 J. Econ. Dyn. Control 31, No. 10, 3370-3395 (2007). MSC: 91B62 49N90 91B74 91D10 PDFBibTeX XMLCite \textit{T. K. White}, J. Econ. Dyn. Control 31, No. 10, 3370--3395 (2007; Zbl 1163.91491) Full Text: DOI
Shampine, L. F.; Gahinet, P. Delay-differential-algebraic equations in control theory. (English) Zbl 1093.93015 Appl. Numer. Math. 56, No. 3-4, 574-588 (2006). MSC: 93C23 93B40 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{P. Gahinet}, Appl. Numer. Math. 56, No. 3--4, 574--588 (2006; Zbl 1093.93015) Full Text: DOI
Enright, W. H. Software for ordinary and delay differential equations: Accurate discrete approximate solutions are not enough. (English) Zbl 1089.65081 Appl. Numer. Math. 56, No. 3-4, 459-471 (2006). MSC: 65L80 65L50 65L05 34A34 34K28 PDFBibTeX XMLCite \textit{W. H. Enright}, Appl. Numer. Math. 56, No. 3--4, 459--471 (2006; Zbl 1089.65081) Full Text: DOI
Kappen, H. J. Path integrals and symmetry breaking for optimal control theory. (English) Zbl 1456.49027 J. Stat. Mech. Theory Exp. 2005, No. 11, Paper No. P11011, 25 p. (2005). MSC: 49N10 49K45 49L20 82B99 93E20 PDFBibTeX XMLCite \textit{H. J. Kappen}, J. Stat. Mech. Theory Exp. 2005, No. 11, Paper No. P11011, 25 p. (2005; Zbl 1456.49027) Full Text: DOI arXiv
Graichen, Knut; Hagenmeyer, Veit; Zeitz, Michael A new approach to inversion-based feedforward control design for nonlinear systems. (English) Zbl 1090.93017 Automatica 41, No. 12, 2033-2041 (2005). MSC: 93B51 93B10 PDFBibTeX XMLCite \textit{K. Graichen} et al., Automatica 41, No. 12, 2033--2041 (2005; Zbl 1090.93017) Full Text: DOI
Graichen, Knut; Zeitz, Michael Feedforward control design for nonlinear systems under input constraints. (English) Zbl 1079.93024 Meurer, Thomas (ed.) et al., Control and observer design for nonlinear finite and infinite dimensional systems. Papers presented at the symposium on nonlinear control and observer design: from theory to applications (SYNCOD), Stuttgart, Germany, September 15–16, 2005. Dedicated to th 65th birthday of Professor Michael Zeitz. Berlin: Springer (ISBN 3-540-27938-5/pbk). Lecture Notes in Control and Information Sciences 322, 235-252 (2005). Reviewer: Kurt Marti (München) MSC: 93C10 PDFBibTeX XMLCite \textit{K. Graichen} and \textit{M. Zeitz}, Lect. Notes Control Inf. Sci. 322, 235--252 (2005; Zbl 1079.93024) Full Text: DOI
Shampine, L. F. Solving ODEs and DDEs with residual control. (English) Zbl 1063.65061 Appl. Numer. Math. 52, No. 1, 113-127 (2005). MSC: 65L06 34K28 65L70 34A34 65L05 PDFBibTeX XMLCite \textit{L. F. Shampine}, Appl. Numer. Math. 52, No. 1, 113--127 (2005; Zbl 1063.65061) Full Text: DOI
Shampine, L. F.; Gladwell, I.; Thompson, S. Solving ODEs with MATLAB. (English) Zbl 1040.65058 Cambridge: Cambridge University Press (ISBN 0-521-53094-6/pbk). viii, 263 p. (2003). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65Lxx 34-01 65-01 68W30 65Y15 PDFBibTeX XMLCite \textit{L. F. Shampine} et al., Solving ODEs with MATLAB. Cambridge: Cambridge University Press (2003; Zbl 1040.65058) Full Text: DOI