论文信息 - Minimax control of maximal monotone differential inclusions in ℝN

Minimax control of maximal monotone differential inclusions in ℝN

Minimax optimal control problems driven by a maximal monotone operator and a multivalued control vector field are examined. First the existence of optimal controls is established. Then their variations are examined as well as the variations of the value of the problem as its data are perturbed (sensitivity analysis). Finally a necessary and sufficient condition for minimax optimality is obtained.

Nikolaos S. Papageorgiou

[1] A. I. Subbotin,et al. Game-Theoretical Control Problems , 1987 .

[2] F. Smithies. Linear Operators , 2019, Nature.

[3] J. Moreau. Evolution problem associated with a moving convex set in a Hilbert space , 1977 .

[4] M. Tsukada. Convergence of best approximations in a smooth Banach space , 1984 .

[5] Nikolaos S. Papageorgiou. Convergence theorems for Banach space valued integrable multifunctions. , 1987 .

[6] L. Berkovitz. Optimal Control Theory , 1974 .

[7] J. Myjak,et al. On continuous approximations for multifunctions , 1986 .

[8] Lamberto Cesari,et al. Optimization-Theory And Applications , 1983 .

[9] Non-smooth analysis and approximation , 1988 .

[10] Daniel H. Wagner. Survey of Measurable Selection Theorems , 1977 .

[11] F. Hiai,et al. Integrals, conditional expectations, and martingales of multivalued functions , 1977 .

[12] C. Henry. Differential equations with discontinuous right-hand side for planning procedures , 1972 .