Infinite horizon optimal control problems with multiple thermostatic hybrid dynamics

被引：8
|
作者：
Bagagiolo, Fabio [1 ]
Danieli, Katia [1 ]
机构：
[1] Univ Trent, Dept Math, I-38050 Trento, Italy
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2012年 / 6卷 / 02期
关键词：
Thermostatic switching systems; Optimal control; Infinite horizon; Exit-time problems; Hamilton-Jacobi; Viscosity solutions; HYSTERESIS; SYSTEMS; TIME;
D O I：
10.1016/j.nahs.2011.09.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study an optimal control problem for a hybrid system exhibiting several internal switching variables whose discrete evolutions are governed by some delayed thermostatic laws. By the dynamic programming technique we prove that the value function is the unique viscosity solution of a system of several Hamilton-Jacobi equations, suitably coupled. The method involves a contraction principle and some suitably adapted results for exit-time problems with discontinuous exit cost. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：824 / 838
页数：15
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