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EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY 被引量:10

EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY
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摘要 In this paper, the exponential stability analysis for ODE switched systems with time delay is extended to distributed parameter switched systems(DPSS) in Hilbert space. For a given family of exponential stable subsystems, this paper focuses on finding conditions to guarantee the overall DPSS' exponential stability. Based on semigroup theory, by applying piecewise Lyapunov-Krasovskii functionals method incorporated average dwell time approach, sufficient conditions for exponential stability are derived. These conditions are given in the form of linear operator inequalities(LOIs)where the decision variables are operators in Hilbert space, and the stability properties depend on switching rule. Being applied to heat switched propagation equations, these LOIs are reduced to standard Linear Matrix Inequalities(LMIs). Finally, a numerical example is given to illustrate the effectiveness of the proposed result.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2014年第2期263-275,共13页 系统科学与复杂性学报(英文版)
基金 supported by the National Natural Science Foundation of China under Grant Nos.61273119,61104068,61374038 the Natural Science Foundation of Jiangsu Province of China under Grant No.BK2011253
关键词 Exponential stability LMIS PDEs on abstract space switched systems. 指数稳定性 切换系统 线性算子 分布参数 时滞系统 Hilbert空间 线性矩阵不等式 平均停留时间
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