Global convergence of a class of nonlinear dynamical networks

摘要：

　　This paper considers the global convergence of a class of nonlinear dynamical networks,and the subsystems are discrete time pendulum-like systems.Different from most of the existing results,two kinds of interconnections are considered in view of the fact that the subsystems of networks may have more than one kind of interconnection between each other.The Kalman-Yakubovich-Popov(KYP)lemma and the Schur complement formula are applied to get novel criteria,which have the forms of linear matrix inequalities(LMIs).The Kronecker product is presented which can be used to handle a class of LMI problems.The test of the global convergence of a network of pendulum-like systems is separated into the test of the global convergence of several independent pendulum-like systems.Furthermore,a controller design method based on LMIs is provided.Finally,a numerical example is presented to illustrate the efficiency and applicability of the proposed methods.

关键词： Global convergence Nonlinear networks Pendulum-like systems KYP lemma Kronecker product

作者: Ao Dun Di Liang Haijing Liu

作者单位: Electronic Information and Control Engineering,Beijing University of Technology,Beijing 100124,China

会议类型: 国际会议

会议名称: 第26届中国控制与决策会议(2014 CCDC)

会议地点: 长沙

会议语种:英文

页码: 576-580

在线出版日期: 2014-05-31（万方平台首次上网日期，不代表论文的发表时间）