References
- Santos ILD, Silva GN. Filippov's selection theorem and the existence of solutions for optimal control problems in time scales. Comput Appl Math. 2014;33(1):223–241.
- Kien BT, Toan NT, Wong MM, et al. Lower semicontinuity of the solution set to a parametric optimal control problem. SIAM J Control Optim. 2012;50(5):2889–2906.
- Nhu VH, Anh NH, Kien BT. Hölder continuity of the solution map to an elliptic optimal control problem with mixed constraints. Taiwanese J Math. 2013;17(4):1245–1266.
- Dontchev AL, Malanowski K. A characterization of lipschitzian stability in optimal control. In: Ioffe A, Reich S, Shafrir I, editors. Calculus of variations and optimal control. 2000. p. 62–76, Chapman & Hall, Boca Raton.
- Malanowski K, Maurer H. Sensitivity analysis for optimal control problems subject to higher order state constraints. Ann Oper Res. 2001;101(1-4):43–73.
- Malanowski K. Sufficient optimality conditions in stability analysis for state-constrained optimal control. Appl Math Optim. 2007;55(2):255–271.
- Malanowski K. Stability and sensitivity analysis for linear-quadratic optimal control subject to state constraints. Optimization. 2007;56(4):463–478.
- Alexander JZ. Generic well-posedness of optimal control problems without convexity assumptions. SIAM J Control Optim. 2000;39(1):250–280.
- Phu HX. A method for solving a class of optimal control problems which are linear in the control variable. Syst Control Lett. 1987;8(3):273–280.
- Körkel S, Kostina E, Bock HG, et al. Numerical methods for optimal control problems in design of robust optimal experiments for nonlinear dynamic processes. Optim Methods Softw. 2004;19(3-4):327–338.
- Biral F, Bertolazzi E, Bosetti P. Notes on numerical methods for solving optimal control problems. IEEJ J Ind Appl. 2016;5(2):154–166.
- Pontryagin LS, Boltyanskii VG, Gamkrelidze RV, et al. The mathematical theory of optimal processes. Trirogoff KN, translator. New York: Interscience; 1962.
- Alekseev VM, Tikhomirov VM, Fomin SV. Optimal control. Boston (MA): Springer; 1987.
- Kwakernaak H, Sivan R. Linear optimal control systems. New York: Wiley-Interscience; 1972.
- Suresh PS, Gerald LT. Optimal control theory: applications to management science and economics. New York: Springer; 2006.
- Lenhart S, Workman JT. Optimal control applied to biological models. London: CRC Press; 2007.
- Anderson BD, Moore JB. Optimal control: linear quadratic methods. New York: Dover; 2007.
- Clarke FH. Optimization and nonsmooth analysis. New York: Wiley; 1983.
- Rockafellar RT. Conjugate convex functions in optimal control and the calculus of variations. J Math Anal Appl. 1970;32(1):174–222.
- Rockafellar RT. Integrals which are convex functionals. Pacific J Math. 1968;24(3):525–539.
- Bednarczuk E. Stability analysis for parametric vector optimization problems. Warszawa: Polish Academy of Sciences; 2007.
- Anh LQ, Khanh PQ, Tam TN. On Hölder continuity of solution maps of parametric primal and dual Ky fan inequalities. TOP. 2015;23(1):151–167.
- Anh LQ, Kruger AY, Thao NH. On Hölder calmness solution maps to parametric equilibrium problems. TOP. 2014;22(1):331–342.
- Rudin W. Principles of mathematical analysis. New York: McGraw-Hill; 1976.
- Vial JP. Strong convexity of sets and functions. J Math Econom. 1982;9(1-2):187–205.
- Jovanovič MV. On strong quasiconvex functions and boundedness of level sets. Optimization. 1989;20(2):163–165.
- Jovanovič MV. A note on strongly convex and quasiconvex functions. Math Notes. 1996;60(5):584–585.
- Cesari L. Optimization theory and applications. New York: Springer; 1983.
- Adams RA, Fournier JJ. Sobolev spaces. New York: Elsevier; 2003.
- Singh S, Watson B, Srivastava P. Fixed point theory and best approximation: the KKM-map principle. Dordrecht: Springer; 1997.
- Fan K. Some properties of convex sets related to fixed point theorems. Math Ann. 1984;266(4):519–537.
- Muu LD, Oettli W. Convergence of an adaptive penalty scheme for finding constrained equilibria. Nonlinear Anal. 1992;18(12):1159–1166.
- Anh LQ, Khanh PQ. On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems. J Math Anal Appl. 2006;321(1):308–315.
- Bianchi M, Rita P. Sensitivity for parametric vector equilibria. Optimization. 2006;55(3):221–230.
- Anh LQ, Duoc PT, Tam TN. On Hölder continuity of solution maps to parametric vector primal and dual equilibrium problems. Optimization. 2018;67(8):1169–1182.
- Anh LQ, Khanh PQ, Tam TN, et al. On Hölder calmness and Hölder well-posedness of vector quasi-equilibrium problems. Vietnam J Math. 2013;41(4):507–517.
- Geering HP. Optimal control with engineering applications. New York: Springer; 2007.