Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay

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• 作者：Xiangze Lin ; ^a ; ^{xzlin@njau.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; ^{xiangze.lin@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Xueling Li^b ; ^{lixueling79@163.com" class="auth_mail" title="E-mail the corresponding author} ; Shihua Li^c ; ^{lsh@seu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Yun Zou^d ; ^{zouyun@vip.163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Switched nonlinear systems ; Sector bounded nonlinearity ; Finite-time boundedness ; Finite-time weighted L2-gain ; Multiple Lyapunov-like functions
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：274
• 期：Complete
• 页码：25-40
• 全文大小：499 K

文摘

Finite-time boundedness and finite-time stability of switched systems with sector bounded nonlinearity and constant time delay are investigated. Sufficient conditions which guarantee finite-time stability or finite-time boundedness of the switched nonlinear system are presented respectively. Average dwell time of switching signals is also given. Moreover, finite-time weighted L₂-gain of the switched nonlinear system is addressed to measure its disturbance tolerance capability in the fixed time interval. Detail proofs are accomplished by using multiple Lyapunov-like functions. An example is employed to verify the efficiency of the proposed method.