A two-player zero-sum differential game in some Banach space is studied.Positiveswitching costs are associated with each player.By regularizing the game and combining thenotion of viscosity solutions for Isaacs-Bellma...A two-player zero-sum differential game in some Banach space is studied.Positiveswitching costs are associated with each player.By regularizing the game and combining thenotion of viscosity solutions for Isaacs-Bellman equation,we obtain the existence of the Elliot-Kalton value of the game under suitable conditions.展开更多
Optimal switching and impulse controls for a distributed parameter systems are considered.We prove that the value functions u_u(·) of approximating problems approach to the value functionu(·) of the original...Optimal switching and impulse controls for a distributed parameter systems are considered.We prove that the value functions u_u(·) of approximating problems approach to the value functionu(·) of the original problem,while u_u(·) is the unique viscosity solution of the correspondingHamilton-Jacobi-Bellman system.We also construct an optimal control for the original problem viathe value function u(·).展开更多
For a nonlinear equation, a global representation for all solutions is obtained. Via this represention, a nonlinear generalized inverse theorem is derived and an application to control systems with mixture constraints...For a nonlinear equation, a global representation for all solutions is obtained. Via this represention, a nonlinear generalized inverse theorem is derived and an application to control systems with mixture constraints is given as well.展开更多
基金This work was partially supported by the National Natural Science Foundation of China under Grant 0188416
文摘A two-player zero-sum differential game in some Banach space is studied.Positiveswitching costs are associated with each player.By regularizing the game and combining thenotion of viscosity solutions for Isaacs-Bellman equation,we obtain the existence of the Elliot-Kalton value of the game under suitable conditions.
文摘Optimal switching and impulse controls for a distributed parameter systems are considered.We prove that the value functions u_u(·) of approximating problems approach to the value functionu(·) of the original problem,while u_u(·) is the unique viscosity solution of the correspondingHamilton-Jacobi-Bellman system.We also construct an optimal control for the original problem viathe value function u(·).
基金Projects supported in part by the Chinese National Natural Science Fundation under Grant 01884 16
文摘For a nonlinear equation, a global representation for all solutions is obtained. Via this represention, a nonlinear generalized inverse theorem is derived and an application to control systems with mixture constraints is given as well.
