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OPTIMAL SWITCHING AND IMPULSE CONTROLS FOR DISTRIBUTED PARAMETER SYSTEMS

OPTIMAL SWITCHING AND IMPULSE CONTROLS FOR DISTRIBUTED PARAMETER SYSTEMS
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摘要 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(·). 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(·).
作者 雍炯敏
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1989年第2期137-160,共24页
关键词 SWITCHING CONTROL IMPULSE CONTROL Distributed PARAMETER System Value Function HJB EQUATION VISCOSITY Solution Switching Control Impulse Control Distributed Parameter System Value Function HJB Equation Viscosity Solution
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