Input-to-Output Stability for Systems Described by Retarded Functional Differential Equations
Input-to-Output Stability for Systems Described by Retarded Functional Differential Equations
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DOI：
10.3166/ejc.14.539-555
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
I. Karafyllis;P. Pepe;Zhong-Ping Jiang
中科院分区：
文献类型：
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作者：
I. Karafyllis;P. Pepe;Zhong-Ping Jiang
在这项工作中，输出稳定性的外部概念的滞后泛函微分方程描述的不确定时变系统的特征。特别地，利用李雅普诺夫函数和Razumikhin函数给出了加权输入输出稳定性的特征。这项工作的结果已经开发的系统中的抽象赋范线性空间的输出，以允许输出没有延迟，离散或分布式延迟或功能输出与内存。
In this work characterizations of external notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov and Razumikhin functions of (uniform) Weighted Input-to-Output Stability are given. The results of this work have been developed for systems with outputs in abstract normed linear spaces in order to allow outputs with no delay, with discrete or distributed delay or functional outputs with memory.