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《第30届中国控制与决策会议论文集(1)》2018年
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Necessary Exponential Stability Conditions for Linear Discrete Time-Delay Systems

Haifang Li  Ning Zhao  Xian Zhang  
【摘要】:Necessary conditions for the exponential stability of the linear discrete time-delay system are presented by employing the so-called Lyapunov-Krasovskii functional approach.These conditions not only provide a new tool for stability analysis of the linear discrete time-delay system by characterizing instability domains,but also extend the existing results of the linear discrete time-delay system.Simultaneously,we investigate several crucial properties that connect the Lyapunov matrix and the fundamental matrix of the system.A numerical example illustrates the validity of the obtained results.

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