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首页> 外文期刊>International Journal of Innovative Computing Information and Control >EXPONENTIAL STABILITY ANALYSIS OF FUNCTIONAL OBSERVER FOR NONLINEAR SYSTEM WITH INTERVAL TIME-VARYING MIXED DELAYS
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EXPONENTIAL STABILITY ANALYSIS OF FUNCTIONAL OBSERVER FOR NONLINEAR SYSTEM WITH INTERVAL TIME-VARYING MIXED DELAYS

机译：时滞混合时滞非线性系统功能观测器的指数稳定性分析。

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摘要

This paper investigates exponential stability of functional observer for a class of nonlinear systems with interval time-varying mixed delays. We first address the problem of functional observer design for nonlinear systems with interval time-varying mixed delays and establish the sufficient conditions of exponential stability of functional observer for this class of systems. Second, by utilizing Lyapunov-Krasovskii approach and some well-known inequalities, we convert the stability analysis problem into the feasible problem of several linear matrix inequalities (LMIs). We proposed sufficient conditions of the exponential stability of functional observer for nonlinear systems with interval time-varying mixed delays. Furthermore, the parameters of the delay-dependent observer are also designed using the Lyapunov-Krasovskii approach. Finally, we give two numerical examples and some simulation results to illustrate the effectiveness of the obtained method.
机译：研究了一类具有间隔时变混合时滞的非线性系统的功能观测器的指数稳定性。我们首先解决具有间隔时变混合时滞的非线性系统的功能观测器设计问题，并为此类系统建立了功能观测器的指数稳定性的充分条件。其次，利用Lyapunov-Krasovskii方法和一些众所周知的不等式，将稳定性分析问题转换为几个线性矩阵不等式（LMI）的可行问题。我们提出了具有间隔时变混合时滞的非线性系统的功能观测器指数稳定性的充分条件。此外，还使用Lyapunov-Krasovskii方法设计了依赖于延迟的观测器的参数。最后，我们给出两个数值例子和一些仿真结果来说明所获得方法的有效性。

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