Input-to-State Stability of Time-Varying Switched Systems with Time-Delays


主讲人:吴小太 安徽工程大学教授 硕士生导师




主讲人介绍:吴小太,男,博士,安徽工程大学教授,硕士生导师,现代控制理论研究所所长,安徽省拔尖人才,安徽省教坛新秀。于2012年毕于东华大学控制理论与控制工程专业,获工学博士学位,一直从事随机混杂系统的相关研究。现为中国指挥与控制学会智能控制与系统专业委员会委员、中国自动化学会控制理论专业委员会随机系统控制学组委员。目前,共主持了3项国家自然科学基金项目,以及安徽省杰出青年基金与安徽省高校学科拔尖人才基金等项目。 ?

内容介绍:This talk considers the input-to-state stability of time-varying switched ?systems with time-delays, where the upper bound estimation for the operator of ?Lyapunov function (UBEOL) is assumed to be time-varying and mode-dependent. The ?ISS and integral-ISS are investigated for time-varying switched systems with ?time-delays by using the Lyapunov-Razumikhin and comparison theorem methods. ?Since the coefficient in the UBEOL is time-varying and takes a positive/negative ?value, the subsystems consist of both ISS and non-ISS subsystems simultaneously. ?It is shown that our presented results have wider applications than some ?existing works.Two examples, including one of the consensus for time-varying ?multi-agent systems with cooperative and competitive protocols, are presented to ?demonstrate the effectiveness of the proposed results.