“…Switched systems have wide range of practical engineering application, such as aerospace field, chemical, biology, economics, and so on. The research of switched systems mainly focused on the analysis of dynamic behaviors, such as stability [17], controllability [7] and observability [6], and synthesis problems, such as stabilization [8], H ∞ control [9,11], and so on. Recently, the optimal control of switched systems has attracted the attention of many researchers [2,14,20,31].…”