References
- Aubin JP. Lipschitz behavior of solutions to convex minimization problems. Math Oper Res. 1984;9:87–111. doi: 10.1287/moor.9.1.87
- Loewen PhD, Rockafellar PT. Optimal control of unbounded differential inclusions. SIAM J Control Optim. 1994;32(2):442–470. doi: 10.1137/S0363012991217494
- Vinter RB. Optimal control. Boston: Birkhäuser; 2000.
- Ioffe AD. Existence and relaxation theorems for unbounded differential inclusions. J Convex Anal. 2006;13(2):353–362.
- Clarke FH. Necessary conditions in dynamic optimization. Providence: AMS; 2005. Vol. 173(816).
- Polovinkin ES. Differential inclusions with measurable seudo-Lipschitz right-hand side. Proc Steklov Inst Math. 2013;283:116–135. doi: 10.1134/S0081543813080099
- Polovinkin ES. Differential inclusions with unbounded right-hand side and necessary optimality conditions. Proc Steklov Inst Math. 2015;291:237–252. doi: 10.1134/S0081543815080192
- Polovinkin ES. The properties of continuity and differentiation of solution sets of Lipschetzean differential inclusions. In: Di Masi GB, Gombani A, Kurzhansky AB, editors. Modeling, estimation and control of systems with uncertainty. Boston: Birkhäuser; 1991. PSCT 10. p. 349–360.
- Polovinkin ES. Set-valued analysis and differential inclusions Moscow: Fizmatlit; 2014. (in Russian).
- Polovinkin ES. Time optimum problems for unbounded differential inclusion. IFAC-PapersOnLine 2015;48(25):150–155. (Proc. of the 16th IFAC Workshop on Contr. Appl. of Optim., Garmisch-Partenkirchen, Germany, 6–9 October 2015). doi: 10.1016/j.ifacol.2015.11.075
- Polovinkin ES. On some properties of vector measures. Proc Steklov Inst Math. 2018;303(Suppl. 1):S183–S195. doi: 10.1134/S0081543818090195
- Lindenstrauss J. A short proof of Lyapounov's convexity theorem. J Math Mech. 1966;15:971–972.
- Colombo RM, Fryszkowski A, Rzezuchowski T, et al. Continuous selections of solution sets of Lipschitzean differential inclusions. Funkcialaj Ekvacioj. 1991;34:321–330.
- Fryszkowski A, Rzezuchowski T. Continuous version of Filippov–Wazewski relaxation theorem. J Diff Eq. 1992;94:254–265. doi: 10.1016/0022-0396(91)90092-N
- Fryszkowski A. Fixed point theory for decomposable sets. New York: Kluwer Academic Publishers; 2004.
- Kuratowski K, Ryll-Nardzewski C. A general theorem on selectors. Bull Polish Acad Sci. 1965;13:397–403.
- Polovinkin ES, Smirnov GV. An approach to the differentiation of set-valued mappings, and necessary conditions for optimization of solutions of differential inclusions. Differ Eq. 1966;22:660–668.
- Aubin JP, Frankowska H. Set-valued analisys. Boston–Basel–Berlin: Birkhäuser; 1990.
- Clarke FH. Optimization and nonsmooth analysis. New York: John Wiley; 1983.
- Boltyanskii VG. The method of tents in the theory of extremal problems. Russ Math Surv. 1975;30(3):1–54. doi: 10.1070/RM1975v030n03ABEH001411