Roubíček, Tomáš Fine metrizable convex relaxations of parabolic optimal control problems. (English) Zbl 07332075 SIAM J. Control Optim. 59, No. 2, 1293-1311 (2021). MSC: 35Q93 46A55 49J20 49J45 49K20 54D35 PDF BibTeX XML Cite \textit{T. Roubíček}, SIAM J. Control Optim. 59, No. 2, 1293--1311 (2021; Zbl 07332075) Full Text: DOI
Zvyagin, Victor; Turbin, Mikhail Optimal feedback control problem for inhomogeneous Voigt fluid motion model. (English) Zbl 07328294 J. Fixed Point Theory Appl. 23, No. 1, Paper No. 4, 39 p. (2021). MSC: 76D55 76A05 35Q35 49J20 PDF BibTeX XML Cite \textit{V. Zvyagin} and \textit{M. Turbin}, J. Fixed Point Theory Appl. 23, No. 1, Paper No. 4, 39 p. (2021; Zbl 07328294) Full Text: DOI
Lacker, Daniel On the convergence of closed-loop Nash equilibria to the mean field game limit. (English) Zbl 07325623 Ann. Appl. Probab. 30, No. 4, 1693-1761 (2020). MSC: 60H30 93E20 91A06 PDF BibTeX XML Cite \textit{D. Lacker}, Ann. Appl. Probab. 30, No. 4, 1693--1761 (2020; Zbl 07325623) Full Text: DOI Euclid
Possamaï, Dylan; Touzi, Nizar; Zhang, Jianfeng Zero-sum path-dependent stochastic differential games in weak formulation. (English) Zbl 07325613 Ann. Appl. Probab. 30, No. 3, 1415-1457 (2020). MSC: 35Q91 35D40 35K10 60H10 60H30 PDF BibTeX XML Cite \textit{D. Possamaï} et al., Ann. Appl. Probab. 30, No. 3, 1415--1457 (2020; Zbl 07325613) Full Text: DOI Euclid
Pogodaev, Nikolay; Staritsyn, Maxim Impulsive control of nonlocal transport equations. (English) Zbl 1439.49062 J. Differ. Equations 269, No. 4, 3585-3623 (2020). MSC: 49N25 49Q22 49K15 49K20 49J45 93C20 PDF BibTeX XML Cite \textit{N. Pogodaev} and \textit{M. Staritsyn}, J. Differ. Equations 269, No. 4, 3585--3623 (2020; Zbl 1439.49062) Full Text: DOI
Lan, Heng-you On a class of fuzzy parametric variational inequality controlled differential equation problems in finite dimension spaces. (English) Zbl 1423.49008 Fuzzy Optim. Decis. Mak. 18, No. 3, 327-344 (2019). MSC: 49J40 65K05 90C30 90C33 PDF BibTeX XML Cite \textit{H.-y. Lan}, Fuzzy Optim. Decis. Mak. 18, No. 3, 327--344 (2019; Zbl 1423.49008) Full Text: DOI
Crettez, Bertrand; Hayek, Naila; Zaccour, Georges Existence and uniqueness of optimal dynamic pricing and advertising controls without concavity. (English) Zbl 07064472 Oper. Res. Lett. 46, No. 2, 199-204 (2018). MSC: 90 PDF BibTeX XML Cite \textit{B. Crettez} et al., Oper. Res. Lett. 46, No. 2, 199--204 (2018; Zbl 07064472) Full Text: DOI
Staritsyn, Maxim On “discontinuous” continuity equation and impulsive ensemble control. (English) Zbl 1402.93138 Syst. Control Lett. 118, 77-83 (2018). MSC: 93C15 49N25 PDF BibTeX XML Cite \textit{M. Staritsyn}, Syst. Control Lett. 118, 77--83 (2018; Zbl 1402.93138) Full Text: DOI
Dreves, Axel; Gerdts, Matthias A generalized Nash equilibrium approach for optimal control problems of autonomous cars. (English) Zbl 1390.49046 Optim. Control Appl. Methods 39, No. 1, 326-342 (2018). MSC: 49N70 91A10 34H05 PDF BibTeX XML Cite \textit{A. Dreves} and \textit{M. Gerdts}, Optim. Control Appl. Methods 39, No. 1, 326--342 (2018; Zbl 1390.49046) Full Text: DOI
Leonov, G. A.; Kuznetsov, N. V.; Kiseleva, M. A.; Mokaev, R. N. Global problems of differential inclusions: the problems of Kalman and Vyshnegradskii, Chua’s circuit. (Russian. English summary) Zbl 1394.34003 Differ. Uravn. Protsessy Upr. 2017, No. 4, 1-52 (2017); translation in Differ. Equ. 53, No. 13, 1671-1702 (2017). MSC: 34-02 34A36 34A60 34D45 34H05 PDF BibTeX XML Cite \textit{G. A. Leonov} et al., Differ. Uravn. Protsessy Upr. 2017, No. 4, 1--52 (2017; Zbl 1394.34003); translation in Differ. Equ. 53, No. 13, 1671--1702 (2017) Full Text: Link
Leonov, G. A.; Kuznetsov, N. V.; Kiseleva, M. A.; Mokaev, R. N. Global problems for differential inclusions. Kalman and Vyshnegradskii problems and Chua circuits. (English. Russian original) Zbl 06892317 Differ. Equ. 53, No. 13, 1671-1702 (2017); translation from Differ. Uravn. Protsessy Upr. 2017, No. 4, 1-52 (2017). MSC: 65 93 PDF BibTeX XML Cite \textit{G. A. Leonov} et al., Differ. Equ. 53, No. 13, 1671--1702 (2017; Zbl 06892317); translation from Differ. Uravn. Protsessy Upr. 2017, No. 4, 1--52 (2017) Full Text: DOI
Wang, Xing; Qi, Ya-wei; Tao, Chang-qi; Huang, Nan-jing A class of differential fuzzy variational inequalities in finite-dimensional spaces. (English) Zbl 1410.90221 Optim. Lett. 11, No. 8, 1593-1607 (2017). MSC: 90C33 90C70 PDF BibTeX XML Cite \textit{X. Wang} et al., Optim. Lett. 11, No. 8, 1593--1607 (2017; Zbl 1410.90221) Full Text: DOI
Houska, Boris; Müller, Matthias A. Cost-to-travel functions: a new perspective on optimal and model predictive control. (English) Zbl 1376.93017 Syst. Control Lett. 106, 79-86 (2017). MSC: 93A30 93B40 93D99 PDF BibTeX XML Cite \textit{B. Houska} and \textit{M. A. Müller}, Syst. Control Lett. 106, 79--86 (2017; Zbl 1376.93017) Full Text: DOI
Lacker, Daniel Limit theory for controlled McKean-Vlasov dynamics. (English) Zbl 1362.93167 SIAM J. Control Optim. 55, No. 3, 1641-1672 (2017). MSC: 93E20 82C22 60H30 PDF BibTeX XML Cite \textit{D. Lacker}, SIAM J. Control Optim. 55, No. 3, 1641--1672 (2017; Zbl 1362.93167) Full Text: DOI arXiv
Guglielmi, Nicola; Laglia, Linda; Protasov, Vladimir Polytope Lyapunov functions for stable and for stabilizable LSS. (English) Zbl 1361.93050 Found. Comput. Math. 17, No. 2, 567-623 (2017). MSC: 93D05 93C30 93C05 93B60 15A60 15-04 15A18 90C90 PDF BibTeX XML Cite \textit{N. Guglielmi} et al., Found. Comput. Math. 17, No. 2, 567--623 (2017; Zbl 1361.93050) Full Text: DOI arXiv
Hochma, Gal; Margaliot, Michael High-order maximum principles for the stability analysis of positive bilinear control systems. (English) Zbl 1348.93156 Optim. Control Appl. Methods 37, No. 5, 1056-1073 (2016). MSC: 93C30 93D09 49J30 49K15 PDF BibTeX XML Cite \textit{G. Hochma} and \textit{M. Margaliot}, Optim. Control Appl. Methods 37, No. 5, 1056--1073 (2016; Zbl 1348.93156) Full Text: DOI arXiv
Guo, Lei; Ye, Jane J. Necessary optimality conditions for optimal control problems with equilibrium constraints. (English) Zbl 1355.49017 SIAM J. Control Optim. 54, No. 5, 2710-2733 (2016). Reviewer: Jafar Zafarani (Isfahan) MSC: 49K15 49K21 90C33 PDF BibTeX XML Cite \textit{L. Guo} and \textit{J. J. Ye}, SIAM J. Control Optim. 54, No. 5, 2710--2733 (2016; Zbl 1355.49017) Full Text: DOI
Rojas, Clara; Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Maurer, Helmut Dynamics and optimal control of chemotherapy for low grade gliomas: insights from a mathematical model. (English) Zbl 1351.49051 Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1895-1915 (2016). Reviewer: Chao Min (Chengdu) MSC: 49N90 49K40 49K15 49J30 49K30 49M37 90C30 92C50 PDF BibTeX XML Cite \textit{C. Rojas} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1895--1915 (2016; Zbl 1351.49051) Full Text: DOI
Li, Xue-song; Huang, Nan-jing; O’Regan, Donal A class of impulsive differential variational inequalities in finite dimensional spaces. (English) Zbl 1344.49012 J. Franklin Inst. 353, No. 13, 3151-3175 (2016). MSC: 49J40 49N25 93C73 PDF BibTeX XML Cite \textit{X.-s. Li} et al., J. Franklin Inst. 353, No. 13, 3151--3175 (2016; Zbl 1344.49012) Full Text: DOI
Jiang, Yu; Wang, Yebin; Bortoff, Scott A.; Jiang, Zhong-Ping An iterative approach to the optimal co-design of linear control systems. (English) Zbl 1338.93172 Int. J. Control 89, No. 4, 680-690 (2016). MSC: 93C05 93B51 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Int. J. Control 89, No. 4, 680--690 (2016; Zbl 1338.93172) Full Text: DOI
Pogodaev, Nikolay Optimal control of continuity equations. (English) Zbl 1337.49007 NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 2, Paper No. 21, 24 p. (2016). MSC: 49J20 49K20 PDF BibTeX XML Cite \textit{N. Pogodaev}, NoDEA, Nonlinear Differ. Equ. Appl. 23, No. 2, Paper No. 21, 24 p. (2016; Zbl 1337.49007) Full Text: DOI arXiv
Wang, Xing; Tao, Chang-qi; Tang, Guo-ji A class of differential quadratic programming problems. (English) Zbl 1410.90146 Appl. Math. Comput. 270, 369-377 (2015). MSC: 90C20 49N10 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Comput. 270, 369--377 (2015; Zbl 1410.90146) Full Text: DOI
Lou, Hongwei; Wang, Weihan Optimal blowup time for controlled ordinary differential equations. (English) Zbl 1318.49004 ESAIM, Control Optim. Calc. Var. 21, No. 3, 815-834 (2015). MSC: 49J15 49K15 34A34 PDF BibTeX XML Cite \textit{H. Lou} and \textit{W. Wang}, ESAIM, Control Optim. Calc. Var. 21, No. 3, 815--834 (2015; Zbl 1318.49004) Full Text: DOI arXiv
Lacker, Daniel Mean field games via controlled martingale problems: existence of Markovian equilibria. (English) Zbl 1346.60083 Stochastic Processes Appl. 125, No. 7, 2856-2894 (2015). MSC: 60H10 60G44 60J25 49N70 91A23 91A15 PDF BibTeX XML Cite \textit{D. Lacker}, Stochastic Processes Appl. 125, No. 7, 2856--2894 (2015; Zbl 1346.60083) Full Text: DOI arXiv
Polyakov, Andrey; Fridman, Leonid Stability notions and Lyapunov functions for sliding mode control systems. (English) Zbl 1372.93072 J. Franklin Inst. 351, No. 4, 1831-1865 (2014). MSC: 93B12 93D99 93D30 93C15 PDF BibTeX XML Cite \textit{A. Polyakov} and \textit{L. Fridman}, J. Franklin Inst. 351, No. 4, 1831--1865 (2014; Zbl 1372.93072) Full Text: DOI
Sklyar, Grigory M.; Ignatovich, Svetlana Yu. Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems. (English) Zbl 1311.93019 Diss. Math. 504 (2014). MSC: 93B25 93B11 93B15 93B17 PDF BibTeX XML 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 PDF BibTeX XML Cite \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
Houska, Boris; Chachuat, Benoît Branch-and-lift algorithm for deterministic global optimization in nonlinear optimal control. (English) Zbl 1307.49034 J. Optim. Theory Appl. 162, No. 1, 208-248 (2014). Reviewer: Matthias Ehrgott (Lancaster) MSC: 49M37 90C57 90C26 PDF BibTeX XML Cite \textit{B. Houska} and \textit{B. Chachuat}, J. Optim. Theory Appl. 162, No. 1, 208--248 (2014; Zbl 1307.49034) Full Text: DOI
Li, Bo; Lou, Hongwei; Xu, Yashan Relaxation of optimal control problem governed by semilinear elliptic equation with leading term containing controls. (English) Zbl 1298.49020 Acta Appl. Math. 130, No. 1, 205-236 (2014). MSC: 49J45 49J20 49K20 35J61 35B27 PDF BibTeX XML Cite \textit{B. Li} et al., Acta Appl. Math. 130, No. 1, 205--236 (2014; Zbl 1298.49020) Full Text: DOI
Schönlein, Michael; Wirth, Fabian On converse Lyapunov theorems for fluid network models. (English) Zbl 1275.60086 Queueing Syst. 70, No. 4, 339-367 (2012). MSC: 60K25 90B10 93D05 PDF BibTeX XML Cite \textit{M. Schönlein} and \textit{F. Wirth}, Queueing Syst. 70, No. 4, 339--367 (2012; Zbl 1275.60086) Full Text: DOI arXiv
Monovich, Tal; Margaliot, Michael A second-order maximum principle for discrete-time bilinear control systems with applications to discrete-time linear switched systems. (English) Zbl 1220.49013 Automatica 47, No. 7, 1489-1495 (2011). MSC: 49K10 93C55 93D20 PDF BibTeX XML Cite \textit{T. Monovich} and \textit{M. Margaliot}, Automatica 47, No. 7, 1489--1495 (2011; Zbl 1220.49013) Full Text: DOI
Sanfelice, Ricardo G.; Teel, Andrew R. On singular perturbations due to fast actuators in hybrid control systems. (English) Zbl 1215.93088 Automatica 47, No. 4, 692-701 (2011). MSC: 93C70 93D20 93C30 PDF BibTeX XML Cite \textit{R. G. Sanfelice} and \textit{A. R. Teel}, Automatica 47, No. 4, 692--701 (2011; Zbl 1215.93088) Full Text: DOI
Tadumadze, T. On the existence of an optimal element for a delay control problem. (English) Zbl 1194.49005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 211-220 (2010). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 49J15 34K35 PDF BibTeX XML Cite \textit{T. Tadumadze}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 211--220 (2010; Zbl 1194.49005) Full Text: DOI
Li, Xue-Song; Huang, Nan-Jing; O’Regan, Donal Differential mixed variational inequalities in finite dimensional spaces. (English) Zbl 1186.49006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9-10, 3875-3886 (2010). MSC: 49J40 49J15 34A60 47J20 58E35 PDF BibTeX XML Cite \textit{X.-S. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9--10, 3875--3886 (2010; Zbl 1186.49006) Full Text: DOI
Barbero-Liñán, M.; Muñoz-Lecanda, M. C. Geometric approach to Pontryagin’s maximum principle. (English) Zbl 1242.49045 Acta Appl. Math. 108, No. 2, 429-485 (2009). MSC: 49K15 34A12 49K30 93C15 PDF BibTeX XML Cite \textit{M. Barbero-Liñán} and \textit{M. C. Muñoz-Lecanda}, Acta Appl. Math. 108, No. 2, 429--485 (2009; Zbl 1242.49045) Full Text: DOI arXiv
Pang, Jong-Shi; Stewart, David E. Solution dependence on initial conditions in differential variational inequalities. (English) Zbl 1194.49033 Math. Program. 116, No. 1-2 (B), 429-460 (2009). MSC: 49K40 47J20 49J40 PDF BibTeX XML Cite \textit{J.-S. Pang} and \textit{D. E. Stewart}, Math. Program. 116, No. 1--2 (B), 429--460 (2009; Zbl 1194.49033) Full Text: DOI
Lupulescu, Vasile Causal functional differential equations in Banach spaces. (English) Zbl 1176.34093 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4787-4795 (2008). Reviewer: Miklavž Mastinšek (Maribor) MSC: 34K30 34K05 PDF BibTeX XML Cite \textit{V. Lupulescu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4787--4795 (2008; Zbl 1176.34093) Full Text: DOI
Väth, Martin Continuity, compactness, and degree theory for operators in systems involving \(p\)-Laplacians and inclusions. (English) Zbl 1165.47060 J. Differ. Equations 245, No. 5, 1137-1166 (2008). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 47N20 35J60 47H30 35D05 46E30 47H04 47H11 PDF BibTeX XML Cite \textit{M. Väth}, J. Differ. Equations 245, No. 5, 1137--1166 (2008; Zbl 1165.47060) Full Text: DOI
Pang, Jong-Shi; Stewart, David E. Differential variational inequalities. (English) Zbl 1139.58011 Math. Program. 113, No. 2 (A), 345-424 (2008). MSC: 58E35 PDF BibTeX XML Cite \textit{J.-S. Pang} and \textit{D. E. Stewart}, Math. Program. 113, No. 2 (A), 345--424 (2008; Zbl 1139.58011) Full Text: DOI
Azhmyakov, V.; Schmidt, W. Approximations of relaxed optimal control problems. (English) Zbl 1135.49020 J. Optim. Theory Appl. 130, No. 1, 61-77 (2006). MSC: 49M25 49K15 PDF BibTeX XML Cite \textit{V. Azhmyakov} and \textit{W. Schmidt}, J. Optim. Theory Appl. 130, No. 1, 61--77 (2006; Zbl 1135.49020) Full Text: DOI
Margaliot, Michael; Yfoulis, Christos Absolute stability of third-order systems: a numerical algorithm. (English) Zbl 1114.93077 Automatica 42, No. 10, 1705-1711 (2006). MSC: 93D10 93D20 93C15 93B40 PDF BibTeX XML Cite \textit{M. Margaliot} and \textit{C. Yfoulis}, Automatica 42, No. 10, 1705--1711 (2006; Zbl 1114.93077) Full Text: DOI
Margaliot, Michael Stability analysis of switched systems using variational principles: An introduction. (English) Zbl 1104.93018 Automatica 42, No. 12, 2059-2077 (2006). MSC: 93B25 93D20 49L20 PDF BibTeX XML Cite \textit{M. Margaliot}, Automatica 42, No. 12, 2059--2077 (2006; Zbl 1104.93018) Full Text: DOI
Papageorgiou, N. S.; Papalini, F. Existence and relaxation for finite-dimensional optimal control problems driven by maximal monotone operators. (English) Zbl 1040.49021 Z. Anal. Anwend. 22, No. 4, 863-898 (2003). MSC: 49J45 49J24 49J40 PDF BibTeX XML Cite \textit{N. S. Papageorgiou} and \textit{F. Papalini}, Z. Anal. Anwend. 22, No. 4, 863--898 (2003; Zbl 1040.49021) Full Text: DOI
Logemann, H.; Ryan, E. P. Nonautonomous systems: Asymptotic behaviour and weak invariance principles. (English) Zbl 1038.34048 J. Differ. Equations 189, No. 2, 440-460 (2003). MSC: 34D05 PDF BibTeX XML Cite \textit{H. Logemann} and \textit{E. P. Ryan}, J. Differ. Equations 189, No. 2, 440--460 (2003; Zbl 1038.34048) Full Text: DOI
Xiang, X.; Sattayatham, P.; Wei, Wei Relaxed controls for a class of strongly nonlinear delay evolution equations. (English) Zbl 1057.49006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 703-723 (2003). MSC: 49J25 34K35 49K25 93C23 PDF BibTeX XML Cite \textit{X. Xiang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 703--723 (2003; Zbl 1057.49006) Full Text: DOI
Roubiček, Tomáš; Valášek, Michael Optimal control of causal differential-algebraic systems. (English) Zbl 1020.49001 J. Math. Anal. Appl. 269, No. 2, 616-641 (2002). Reviewer: Manuel C.Guerra (Lisboa) MSC: 49J15 49K15 70E60 93C85 PDF BibTeX XML Cite \textit{T. Roubiček} and \textit{M. Valášek}, J. Math. Anal. Appl. 269, No. 2, 616--641 (2002; Zbl 1020.49001) Full Text: DOI
Muñoz, Julio; Pedregal, Pablo A refinement on existence results in nonconvex optimal control. (English) Zbl 1019.49003 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 3, 381-398 (2001). Reviewer: Jean-Pierre Raymond (Toulouse) MSC: 49J15 49Q20 49K15 49J45 PDF BibTeX XML Cite \textit{J. Muñoz} and \textit{P. Pedregal}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 3, 381--398 (2001; Zbl 1019.49003) Full Text: DOI
Gaitsgory, V.; Nguyen, M.-T. Averaging of three time scale singularly perturbed control systems. (English) Zbl 0974.93037 Syst. Control Lett. 42, No. 5, 395-403 (2001). MSC: 93C70 93C10 PDF BibTeX XML Cite \textit{V. Gaitsgory} and \textit{M. T. Nguyen}, Syst. Control Lett. 42, No. 5, 395--403 (2001; Zbl 0974.93037) Full Text: DOI
Desch, W.; Logemann, H.; Ryan, E. P.; Sontag, E. D. Meagre functions and asymptotic behaviour of dynamical systems. (English) Zbl 1185.34079 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 8, 1087-1109 (2001). MSC: 34G20 34A60 34D05 37C10 47D06 PDF BibTeX XML Cite \textit{W. Desch} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 8, 1087--1109 (2001; Zbl 1185.34079) Full Text: DOI
Kourogenis, Nikolaos C.; Papageorgiou, Nikolaos S. Optimization and relaxation of nonlinear elliptic control systems. (English) Zbl 1306.49019 Japan J. Ind. Appl. Math. 17, No. 3, 453-479 (2000). MSC: 49J45 35Q93 PDF BibTeX XML Cite \textit{N. C. Kourogenis} and \textit{N. S. Papageorgiou}, Japan J. Ind. Appl. Math. 17, No. 3, 453--479 (2000; Zbl 1306.49019) Full Text: DOI
Teel, Andrew R.; Praly, Laurent A smooth Lyapunov function from a class-\(\mathcal{KL}\) estimate involving two positive semidefinite functions. (English) Zbl 0953.34042 ESAIM, Control Optim. Calc. Var. 5, 313-367 (2000). MSC: 34D20 34A60 PDF BibTeX XML Cite \textit{A. R. Teel} and \textit{L. Praly}, ESAIM, Control Optim. Calc. Var. 5, 313--367 (2000; Zbl 0953.34042) Full Text: DOI Link EuDML
Väth, M. Approximation, complete continuity, and uniform measurability of Uryson operators on general measure spaces. (English) Zbl 0931.47049 Nonlinear Anal., Theory Methods Appl. 33, No. 7, 715-728 (1998). Reviewer: Jürgen Appell (Würzburg) MSC: 47H30 28B05 28B20 PDF BibTeX XML Cite \textit{M. Väth}, Nonlinear Anal., Theory Methods Appl. 33, No. 7, 715--728 (1998; Zbl 0931.47049) Full Text: DOI
Oberle, H. J.; Taubert, K. Existence and multiple solutions of the minimum-fuel orbit transfer problem. (English) Zbl 0896.49021 J. Optimization Theory Appl. 95, No. 2, 243-262 (1997). MSC: 49N70 49N75 49J15 70P05 PDF BibTeX XML Cite \textit{H. J. Oberle} and \textit{K. Taubert}, J. Optim. Theory Appl. 95, No. 2, 243--262 (1997; Zbl 0896.49021) Full Text: DOI
Chryssoverghi, I.; Bacopoulos, A. Approximation of relaxed nonlinear parabolic optimal control problems. (English) Zbl 0796.49002 J. Optimization Theory Appl. 77, No. 1, 31-50 (1993). MSC: 49J15 49K15 PDF BibTeX XML Cite \textit{I. Chryssoverghi} and \textit{A. Bacopoulos}, J. Optim. Theory Appl. 77, No. 1, 31--50 (1993; Zbl 0796.49002) Full Text: DOI
Cutland, Nigel J.; Linstrøm, Tom Random relaxed controls and partially observed stochastic systems. (English) Zbl 0801.93059 Acta Appl. Math. 32, No. 2, 157-182 (1993). Reviewer: B.Mathiszik (Halle) MSC: 93E20 49K27 03H05 28E05 PDF BibTeX XML Cite \textit{N. J. Cutland} and \textit{T. Linstrøm}, Acta Appl. Math. 32, No. 2, 157--182 (1993; Zbl 0801.93059) Full Text: DOI
Behncke, Horst A mathematical method for the force and energetics in competitive running. (English) Zbl 0782.92007 J. Math. Biol. 31, No. 8, 853-878 (1993). Reviewer: D.Jou (Ballaterra) MSC: 92C45 92C10 49N70 49N75 49J15 PDF BibTeX XML Cite \textit{H. Behncke}, J. Math. Biol. 31, No. 8, 853--878 (1993; Zbl 0782.92007) Full Text: DOI
Zhu, Q. J.; Zhang, N.; He, Y. Algorithm for determining the reachability set of a linear control system. (English) Zbl 0794.93009 J. Optimization Theory Appl. 72, No. 2, 333-353 (1992). MSC: 93B03 93B05 93C05 PDF BibTeX XML Cite \textit{Q. J. Zhu} et al., J. Optim. Theory Appl. 72, No. 2, 333--353 (1992; Zbl 0794.93009) Full Text: DOI
Martin, R. B.; Fisher, M. E.; Minchin, R. F.; Teo, K. L. Optimal control of tumor size used to maximize survival time when cells are resistant to chemotherapy. (English) Zbl 0754.92012 Math. Biosci. 110, No. 2, 201-219 (1992). MSC: 92C50 93C95 PDF BibTeX XML Cite \textit{R. B. Martin} et al., Math. Biosci. 110, No. 2, 201--219 (1992; Zbl 0754.92012) Full Text: DOI
Angell, T. S.; Kirsch, A. On the necessary conditions for optimal control of retarded systems. (English) Zbl 0717.49019 Appl. Math. Optimization 22, No. 2, 117-145 (1990). MSC: 49K25 49K15 34K35 PDF BibTeX XML Cite \textit{T. S. Angell} and \textit{A. Kirsch}, Appl. Math. Optim. 22, No. 2, 117--145 (1990; Zbl 0717.49019) Full Text: DOI
Stewart, David A high accuracy method for solving ODEs with discontinuous right-hand side. (English) Zbl 0693.65049 Numer. Math. 58, No. 3, 299-328 (1990). Reviewer: D.E.Stewart MSC: 65L05 34A34 90C33 PDF BibTeX XML Cite \textit{D. Stewart}, Numer. Math. 58, No. 3, 299--328 (1990; Zbl 0693.65049) Full Text: DOI EuDML
Panasyuk, A. I. Equations of attainable set dynamics. I: Integral Funnel equation. (English) Zbl 0665.93028 J. Optimization Theory Appl. 64, No. 2, 349-366 (1990). Reviewer: A.I.Panasyuk MSC: 93C30 35B37 91A23 93B03 PDF BibTeX XML Cite \textit{A. I. Panasyuk}, J. Optim. Theory Appl. 64, No. 2, 349--366 (1990; Zbl 0665.93028) Full Text: DOI
Papageorgiou, Nikolaos S. Relaxation of finite dimensional control systems. (English) Zbl 0702.49005 Nonlinear Anal., Theory Methods Appl. 13, No. 11, 1283-1293 (1989). Reviewer: J.Murray MSC: 49J27 PDF BibTeX XML Cite \textit{N. S. Papageorgiou}, Nonlinear Anal., Theory Methods Appl. 13, No. 11, 1283--1293 (1989; Zbl 0702.49005) Full Text: DOI
Papageorgiou, Nikolaos S. On the optimal control and relaxation of nonlinear infinite dimensional systems. (English) Zbl 0701.49006 Ann. Mat. Pura Appl., IV. Ser. 154, 259-279 (1989). Reviewer: J.Murray MSC: 49J20 93C20 49J30 93C10 PDF BibTeX XML Cite \textit{N. S. Papageorgiou}, Ann. Mat. Pura Appl. (4) 154, 259--279 (1989; Zbl 0701.49006) Full Text: DOI
Bressan, A.; Cortesi, A. Directionally continuous selections in Banach spaces. (English) Zbl 0687.34013 Nonlinear Anal., Theory Methods Appl. 13, No. 8, 987-992 (1989). Reviewer: J.E.Rubio MSC: 34A60 49L99 PDF BibTeX XML Cite \textit{A. Bressan} and \textit{A. Cortesi}, Nonlinear Anal., Theory Methods Appl. 13, No. 8, 987--992 (1989; Zbl 0687.34013) Full Text: DOI
Bressan, Alberto On the qualitative theory of lower semicontinuous differential inclusions. (English) Zbl 0675.34011 J. Differ. Equations 77, No. 2, 379-391 (1989). Reviewer: V.Lakshmikantham MSC: 34A60 PDF BibTeX XML Cite \textit{A. Bressan}, J. Differ. Equations 77, No. 2, 379--391 (1989; Zbl 0675.34011) Full Text: DOI
Bressan, Alberto Directional convexity and finite optimality conditions. (English) Zbl 0627.49008 J. Math. Anal. Appl. 125, 234-246 (1987). Reviewer: P.Loewen MSC: 49K15 93B03 52A20 93C10 93C15 PDF BibTeX XML Cite \textit{A. Bressan}, J. Math. Anal. Appl. 125, 234--246 (1987; Zbl 0627.49008) Full Text: DOI
Martynyuk, A. A. Expansion of the space state of dynamic systems and the stability problem. (English. Russian original) Zbl 0631.70011 Sov. Appl. Mech. 22, 1115-1130 (1986); translation from Prikl. Mekh., Kiev 22, No. 12, 10-12 (1986). MSC: 70G10 37J99 70K20 PDF BibTeX XML Cite \textit{A. A. Martynyuk}, Sov. Appl. Mech. 22, 1115--1130 (1986; Zbl 0631.70011); translation from Prikl. Mekh., Kiev 22, No. 12, 10--12 (1986) Full Text: DOI
Chryssoverghi, I. Nonconvex optimal control of nonlinear monotone parabolic systems. (English) Zbl 0604.49004 Syst. Control Lett. 8, 55-62 (1986). MSC: 49J20 35K60 49K20 35B37 49M20 93C10 93C20 PDF BibTeX XML Cite \textit{I. Chryssoverghi}, Syst. Control Lett. 8, 55--62 (1986; Zbl 0604.49004) Full Text: DOI
Wenzel, Georg On a class of implicit differential inclusions. (English) Zbl 0603.34011 J. Differ. Equations 63, 162-182 (1986). Reviewer: V.Lakshmikantham MSC: 34A60 34A12 PDF BibTeX XML Cite \textit{G. Wenzel}, J. Differ. Equations 63, 162--182 (1986; Zbl 0603.34011) Full Text: DOI
Petukhov, L. V.; Repin, S. I. Application of duality methods in problems of optimizing the shape of elastic bodies. (English. Russian original) Zbl 0584.73116 J. Appl. Math. Mech. 48(1985), 600-606 (1984); translation from Prikl. Mat. Mekh. 48, 830-838 (1984). MSC: 74P99 74H45 74K20 49N15 PDF BibTeX XML Cite \textit{L. V. Petukhov} and \textit{S. I. Repin}, J. Appl. Math. Mech. 48, 600--606 (1985; Zbl 0584.73116); translation from Prikl. Mat. Mekh. 48, 830--838 (1984) Full Text: DOI
Anichini, Giuseppe Boundary value problem for multivalued differential equations and controllability. (English) Zbl 0574.49020 J. Math. Anal. Appl. 105, 372-382 (1985). Reviewer: E.Roxin MSC: 93B05 34A60 49J45 93B03 47H10 PDF BibTeX XML Cite \textit{G. Anichini}, J. Math. Anal. Appl. 105, 372--382 (1985; Zbl 0574.49020) Full Text: DOI
Grasse, Kevin A. Some topological covering theorems with applications to control theory. (English) Zbl 0529.93010 J. Math. Anal. Appl. 91, 305-318 (1983). MSC: 93B05 54D20 57R27 93B03 93C10 49K40 54C05 93C15 PDF BibTeX XML Cite \textit{K. A. Grasse}, J. Math. Anal. Appl. 91, 305--318 (1983; Zbl 0529.93010) Full Text: DOI
Suryanarayana, M. B. Upper semicontinuity of set-valued functions. (English) Zbl 0496.54015 J. Optimization Theory Appl. 41, 185-211 (1983). MSC: 54C60 54C08 49J45 PDF BibTeX XML Cite \textit{M. B. Suryanarayana}, J. Optim. Theory Appl. 41, 185--211 (1983; Zbl 0496.54015) Full Text: DOI
Seah, Sek Wui Existence of solutions and asymptotic equilibrium of multivalued differential systems. (English) Zbl 0492.34004 J. Math. Anal. Appl. 89, 648-663 (1982). MSC: 34A12 34D05 PDF BibTeX XML Cite \textit{S. W. Seah}, J. Math. Anal. Appl. 89, 648--663 (1982; Zbl 0492.34004) Full Text: DOI
Di Blasio, Gabriella Synthesis of optimal bilinear controls. (English) Zbl 0487.49007 J. Math. Anal. Appl. 88, 143-156 (1982). MSC: 49K15 93C10 93C15 PDF BibTeX XML Cite \textit{G. Di Blasio}, J. Math. Anal. Appl. 88, 143--156 (1982; Zbl 0487.49007) Full Text: DOI
Baum, R. F. An approximation procedure for solutions to Meyer problems with cost functional not of class \(C^ 1\). (English) Zbl 0477.49002 J. Optimization Theory Appl. 36, 433-449 (1982). MSC: 49J15 49J45 65K10 PDF BibTeX XML Cite \textit{R. F. Baum}, J. Optim. Theory Appl. 36, 433--449 (1982; Zbl 0477.49002) Full Text: DOI
Kannan, R. Random correspondences and nonlinear equations. (English) Zbl 0468.60062 J. Multivariate Anal. 11, 230-243 (1981). MSC: 60H99 47J05 PDF BibTeX XML Cite \textit{R. Kannan}, J. Multivariate Anal. 11, 230--243 (1981; Zbl 0468.60062) Full Text: DOI
Baum, R. F. An approximation procedure for solutions to Meyer problems with cost functional not of class \(C^1\). (English) Zbl 0452.49009 J. Optimization Theory Appl. 36, 433-449 (1982). MSC: 49J15 49J45 65K10 PDF BibTeX XML Cite \textit{R. F. Baum}, J. Optim. Theory Appl. 36, 433--449 (1981; Zbl 0452.49009) Full Text: DOI
Kisielewicz, M. On the trajectories of generalized functional-differential systems of neutral type. (English) Zbl 0421.49016 J. Optimization Theory Appl. 33, 255-266 (1981). MSC: 49J45 34K35 PDF BibTeX XML Cite \textit{M. Kisielewicz}, J. Optim. Theory Appl. 33, 255--266 (1981; Zbl 0421.49016) Full Text: DOI
Grasse, Kevin A.; Zecca, Pietro Local controllability of multivalued differential equations. (English) Zbl 0451.93016 Ann. Mat. Pura Appl., IV. Ser. 124, 281-292 (1980). MSC: 93B05 93C10 34A60 PDF BibTeX XML Cite \textit{K. A. Grasse} and \textit{P. Zecca}, Ann. Mat. Pura Appl. (4) 124, 281--292 (1980; Zbl 0451.93016) Full Text: DOI
Chukwu, E. N. Functional inclusion and controllability of nonlinear neutral functional differential systems. (English) Zbl 0416.93026 J. Optimization Theory Appl. 29, 291-300 (1979). MSC: 93B05 34K35 93C10 PDF BibTeX XML Cite \textit{E. N. Chukwu}, J. Optim. Theory Appl. 29, 291--300 (1979; Zbl 0416.93026) Full Text: DOI
Hautus, M. L. J. On the uniform boundedness of solutions of contingent equations. (English) Zbl 0368.49015 J. Optimization Theory Appl. 25, 555-562 (1978). MSC: 93B05 49J45 PDF BibTeX XML Cite \textit{M. L. J. Hautus}, J. Optim. Theory Appl. 25, 555--562 (1978; Zbl 0368.49015) Full Text: DOI
Warga, J. A second-order condition that strengthens Pontryagin’s maximum principle. (English) Zbl 0346.49012 J. Differ. Equations 28, 284-307 (1978). MSC: 49K15 93C15 PDF BibTeX XML Cite \textit{J. Warga}, J. Differ. Equations 28, 284--307 (1978; Zbl 0346.49012) Full Text: DOI
Chukwu, Ethelbert N.; Gronski, Jan M. Approximate and complete controllability of nonlinear systems to a convex target set. (English) Zbl 0404.93011 J. Math. Anal. Appl. 61, 97-112 (1977). MSC: 93B05 93C10 93C15 PDF BibTeX XML Cite \textit{E. N. Chukwu} and \textit{J. M. Gronski}, J. Math. Anal. Appl. 61, 97--112 (1977; Zbl 0404.93011) Full Text: DOI
Birkhoff, Garrett; Kotin, Leon Autonomous families of differential systems. (English) Zbl 0342.34031 J. Math. Anal. Appl. 55, 466-475 (1976). MSC: 37-XX 34C10 PDF BibTeX XML Cite \textit{G. Birkhoff} and \textit{L. Kotin}, J. Math. Anal. Appl. 55, 466--475 (1976; Zbl 0342.34031) Full Text: DOI
Rebhuhn, D. On the set of attainability of nonlinear autonomous control systems. (English) Zbl 0328.49017 Ann. Mat. Pura Appl., IV. Ser. 107(1975), 291-309 (1976). MSC: 93B03 49K27 93C10 93C25 PDF BibTeX XML Cite \textit{D. Rebhuhn}, Ann. Mat. Pura Appl. (4) 107, 291--309 (1976; Zbl 0328.49017) Full Text: DOI
Rebhuhn, D. On the closure of sets of attainability in \(\mathbb{R}^2\). (English) Zbl 0326.49030 J. Optimization Theory Appl. 20, 439-454 (1976). MSC: 93B03 93C25 49J30 PDF BibTeX XML Cite \textit{D. Rebhuhn}, J. Optim. Theory Appl. 20, 439--454 (1976; Zbl 0326.49030) Full Text: DOI
Feuer, Arie; Heymann, Michael \(\Omega\)-invariance in control systems with bounded controls. (English) Zbl 0326.49004 J. Math. Anal. Appl. 53, 266-276 (1976). MSC: 49J15 93C05 34H05 PDF BibTeX XML Cite \textit{A. Feuer} and \textit{M. Heymann}, J. Math. Anal. Appl. 53, 266--276 (1976; Zbl 0326.49004) Full Text: DOI
Suryanarayana, M. B. Remarks on lower semicontinuity and lower closure. (English) Zbl 0305.49017 J. Optimization Theory Appl. 19, 125-140 (1976). MSC: 49J45 93B05 PDF BibTeX XML Cite \textit{M. B. Suryanarayana}, J. Optim. Theory Appl. 19, 125--140 (1976; Zbl 0305.49017) Full Text: DOI
Cesari, L.; Suryanarayana, M. B. Nemitsky’s operators and lower closure theorems. (English) Zbl 0305.49016 J. Optimization Theory Appl. 19, 165-183 (1976). MSC: 49J45 93B05 47-00 PDF BibTeX XML Cite \textit{L. Cesari} and \textit{M. B. Suryanarayana}, J. Optim. Theory Appl. 19, 165--183 (1976; Zbl 0305.49016) Full Text: DOI
Michel, Philippe Generalized controls: A necessary condition for optimality in a Banach space. (English) Zbl 0328.49006 J. Math. Anal. Appl. 50, 20-41 (1975). MSC: 49K27 46E15 93B05 PDF BibTeX XML Cite \textit{P. Michel}, J. Math. Anal. Appl. 50, 20--41 (1975; Zbl 0328.49006) Full Text: DOI
Cesari, L. Geometric and analytic views in existence theorems for optimal control. II: Distributed and boundary controls. (English) Zbl 0279.49012 J. Optimization Theory Appl. 15, 467-497 (1975). MSC: 49J45 49J20 PDF BibTeX XML Cite \textit{L. Cesari}, J. Optim. Theory Appl. 15, 467--497 (1975; Zbl 0279.49012) Full Text: DOI
Katz, P. L. A geometric computing method for nonlinear optimal regulator problems with singular arcs. (English) Zbl 0277.65042 J. Optimization Theory Appl. 15, 249-284 (1975). MSC: 65K05 90C55 90C25 PDF BibTeX XML Cite \textit{P. L. Katz}, J. Optim. Theory Appl. 15, 249--284 (1975; Zbl 0277.65042) Full Text: DOI
Dauer, Jerald P. Approximate controllability of nonlinear systems with restrained controls. (English) Zbl 0276.93010 J. Math. Anal. Appl. 46, 126-131 (1974). MSC: 93B05 93C10 93C15 PDF BibTeX XML Cite \textit{J. P. Dauer}, J. Math. Anal. Appl. 46, 126--131 (1974; Zbl 0276.93010) Full Text: DOI
Frick, P. A. An integral formulation of the \(\varepsilon\)-problem and a new computational approach to control function optimization. (English) Zbl 0261.49033 J. Optimization Theory Appl. 13, 553-581 (1974). MSC: 49M30 49K99 PDF BibTeX XML Cite \textit{P. A. Frick}, J. Optim. Theory Appl. 13, 553--581 (1974; Zbl 0261.49033) Full Text: DOI
Rockafellar, R. Tyrrell Optimal arcs and the minimum value function in problems of Lagrange. (English) Zbl 0281.49005 Trans. Am. Math. Soc. 180, 53-83 (1973). MSC: 49J45 49J15 93B03 PDF BibTeX XML Cite \textit{R. T. Rockafellar}, Trans. Am. Math. Soc. 180, 53--83 (1973; Zbl 0281.49005) Full Text: DOI
Aronsson, Gunnar A new approach to nonlinear controllability. (English) Zbl 0266.93003 J. Math. Anal. Appl. 44, 763-772 (1973). MSC: 93B05 93C10 93C15 PDF BibTeX XML Cite \textit{G. Aronsson}, J. Math. Anal. Appl. 44, 763--772 (1973; Zbl 0266.93003) Full Text: DOI
Dauer, Jerald P. A note on bounded perturbations of controllable systems. (English) Zbl 0254.93007 J. Math. Anal. Appl. 42, 221-225 (1973). MSC: 93B05 93C15 93C99 PDF BibTeX XML Cite \textit{J. P. Dauer}, J. Math. Anal. Appl. 42, 221--225 (1973; Zbl 0254.93007) Full Text: DOI
Hannsgen, K.; Sanchez, D. A. A note on solutions of orientor fields for periodic systems. (English) Zbl 0248.49024 J. Optimization Theory Appl. 12, 325-327 (1973). MSC: 93B05 49J45 34G99 PDF BibTeX XML Cite \textit{K. Hannsgen} and \textit{D. A. Sanchez}, J. Optim. Theory Appl. 12, 325--327 (1973; Zbl 0248.49024) Full Text: DOI
Choudhury, A. K. On the existence of an optimal solution of the epsilon variational problem. (English) Zbl 0243.49004 J. Optimization Theory Appl. 11, 494-505 (1973). MSC: 49J99 PDF BibTeX XML Cite \textit{A. K. Choudhury}, J. Optim. Theory Appl. 11, 494--505 (1973; Zbl 0243.49004) Full Text: DOI