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Stability analysis of neutral-type nonlinear delayed systems: An LMI approach

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Abstract

The problems of determining the global asymptotic stability and global exponential stability for a class of norm-bounded nonlinear neutral differential systems with constant or time-varying delays are investigated in this work. Lyapunov method was used to derive some useful criteria of the systems’ global asymptotic stability and global exponential stability. The stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. Moreover, for the exponentially stable system, the exponential convergence rates of the system’s states can be estimated by some parameters of the LMIs. Numerical examples are given to illustrate the application of the proposed method.

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Authors and Affiliations

  1. School of Electrical Engineering, Zhejiang University, Hangzhou, 310027, China

    Liu Mei-qin

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  1. Liu Mei-qin
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Project supported by the National Natural Science Foundation of China (No. 60504024), and Zhejiang Provincial Education Department (No. 20050905), China

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Liu, Mq. Stability analysis of neutral-type nonlinear delayed systems: An LMI approach. J. Zhejiang Univ. - Sci. A 7 (Suppl 2), 237–244 (2006). https://doi.org/10.1631/jzus.2006.AS0237

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  • DOI: https://doi.org/10.1631/jzus.2006.AS0237

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