Gain Estimates and Exponential ISS for a Class of Hybrid Dynamical Networks
This paper studies the exponential input-to-state stability(e-ISS)for hybrid dynamical networks(HDNs)consisting of flow and jumping subsystems.Concepts of input-to-state exponent(IS-E)and event-ISS are proposed.By using the IS-E estimates of subsystems and the method of multiple Lyapunov functions and M-matrix theory,the e-ISS including event-e-ISS criteria are established for HDNs.The small-gain condition for the coupling of flows is needed while such condition for the coupling of impulses is not necessary.It also shows that a HDN may have ISS even all subsystems have no ISS.Finally,one example is given to illustrate the results.
Input-to-state stability (ISS) hybrid dynamical network multiple Lyapunov functions M-matrix
Bin Liu Chunxia Dou Dong-Nan Liu
College of Sciences,Hunan University of Technology,Zhuzhou 412008,China School of Electrical and Information Engineering,Yanshan University,Hebei,China
国际会议
长沙
英文
985-990
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）