【摘要】 研究了一类具有多个时滞的中立型系统的渐近稳定性问题。通过构造适当的李雅普诺夫函数,得出了具有线性矩阵不等式形式的稳定性准则,推广和改进了现有文献的一些结论,同时采用MATLAB的LMI工具箱求解线性矩阵不等式,再通过SIMULINK仿真工具进行仿真加以验证,并与以往的研究结果进行了数值比较,比较结果表明本方法具有较小的保守性。更多还原

【Abstract】 The problem on asymptotic stability for a class of neutral systems with multiple time-varying delay is investigated. Having established Lyapunov function available, a sufficient criterion for the stability of the systems in terms of linear matrix inequality (LMI) is derived, with conclusions presented in existing literatures developed and improved. The linear matrix inequality can be solved by using LMI Control Toolbox of MATLAB. And with a numerical example, simulation is discussed to verify. The values are compared with previous results. The results reached in comparision expatiate less conservative of this method.更多还原