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Exponentially weighted integral input-to-state stability of nonlinear control systems with time delay

机译：时滞非线性控制系统的指数加权积分输入到状态稳定性

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摘要

Stability analysis of nonlinear system is an important problem in control and engineering field. Input-to-state stability is one of the important concepts which have been introduced into nonlinear control systems. This paper generalizes the input-to-state stability to exponentially weighted integral input-to-state globally uniformly stable and exponentially weighted integral input-to-state globally uniformly asymptotically stable of nonlinear control systems with time delay. By developing the method of Lypaunov-Razumikhin technique, several results of exponentially weighted integral input-to-state stability are derived. Relevant examples are provided to illustrate the correctness of the obtained results.
机译：非线性系统的稳定性分析是控制和工程领域的重要问题。输入到状态的稳定性是已引入非线性控制系统的重要概念之一。本文将输入状态稳定性概括为具有时滞的非线性控制系统的指数加权积分输入状态的全局一致稳定和指数加权积分输入状态的全局一致渐近稳定。通过开发Lypaunov-Razumikhin技术的方法，得出了指数加权积分输入到状态稳定性的几个结果。提供相关示例以说明所获得结果的正确性。

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