References
- Bellaassali S, Jourani A. Necessary optimality conditions in multiobjective dynamic optimization. SIAM J Control Optim. 2004;42:2043–2061.
- Bonnel H, Pham NS. Nonsmooth optimization over the weakly or properly Pareto set of a linear-quadratic multi-objective control problem: explicit optimality conditions. J Ind Manag Optim. 2011;7:789–809.
- Grecksch W, Heyde F, Isac G, et al. A characterization of approximate solutions of multiobjective stochastics optimal control problems. Optimization. 2003;52:153–170.
- Kaya CY, Maurer H. A numerical method for nonconvex multi-objective optimal control problems. Comput Optim Appl. 2014;57:685–702.
- Kien B.T, Wong N-C, Yao J-C. Necessary conditions for multi-objective optimal control problem with free end-time. SIAM J Control Optim. 2010;47:2251–2274.
- Kien B.T, Yao J.-C. Local stability of solutions to parametric semilinear elliptic optimal control problems. Appl Anal Optim. 2007;1:361–379.
- Kien B.T, Tuyen N.V, Yao J.-C. Second-order KKT-optimality conditions for multiobjective optimal control problems. SIAM J Control Optim. 2018;56:4069–4097.
- Ngo T-N, Hayek N. Necessary conditions of Pareto optimality for multiobjective optimal control problems under constraints. Optimization. 2017;66:149–177.
- de Oliveira VA, Silva GN, Rojas-Medar MA. A class of multi-objective control problems. Optim Control Appl Meth. 2009;30:77–86.
- de Oliveira VA, Silva GN. On sufficient optimality condition for multiobjective control problems. J Glob Optim. 2016;64:721–744.
- Shao Y-H, Tsujioka K. On proper-efficiency for nonsmooth multiobjective optimal control problems. Bull Inf Cyber. 2000;32:139–155.
- Zhu QJ. Hamiltonian necessary conditions for a multiobjective optimal control problems with endpoint constraints. SIAM J Control Optim. 2000;39:97–112.
- Bonnans JF, Shapiro A. Perturbation analysis of optimization problems. New York: Springer; 2000.
- Zowe J, Kurcyusz S. Regularity and stability for the mathematical programming problem in Banach spaces. Appl Math Optim. 1979;5:49–62.
- Kien B.T, Nhu V.H. Second-order necessary optimality conditions for a class of semilinear elliptic optimal control problems with mixed pointwise constraints. SIAM J Control Optim. 2014;52:1166–1202.
- Ginchev I, Guerraggio A, Rocca M. From scalar to vector optimization. Appl Math. 2006;51:5–36.
- Jourani A. Regularity and strong sufficient optimality conditions in differentiable optimization problems. Numer Funct Anal Optim. 1993;14:69–87.
- Alt W. Local stability of solutions to differentiable optimization problems in Banach spaces. J Optim Theory Appl. 1991;70:443–466.
- Ioffe AD, Tihomirov VM. Theory of extremal problems. Amsterdam: North-Holland Publishing Company; 1979.
- Fan K, Glicksberg I, Hoffman AD. Systems of inequalities involving convex functions. Proc AMS. 1957;8:617–622.
- Cesari L. Optimization theory and applications, problems with ordinary differential equations. New York: Springer-Verlag; 1983.