摘要：AbstractThis paper proposes an algorithm to find a common zeroing-output system (CZOS) that plays a key role in studying uniform global exponential stability for a class of switched linear time-invariant systems under arbitrary switching. When a quadratic common Lyapunov function is hard to find while a quadratic common weak Lyapunov function is available, the concepts of CZOS can be used to assist in checking uniform global attractivity. When a CZOS for a given switched linear time-invariant system exists, a recursive algorithm is proposed to systematically find this CZOS. One example demonstrates the effectiveness of the proposed algorithm.
关键词：KeywordsSwitched linear time-invariant systemscommon weak Lyapunov functionscommon zeroing-output systemsuniform global exponential stability
