不确定性中立型Lurie控制系统的时滞相关鲁棒绝对稳定性

Delay-Dependent Robust Absolute Stability for A Class of Neutral Lurie Control Systems with Uncertainty

探讨了一类具有时滞的不确定性中立型Lurie控制系统的稳定性问题.通过构造合适的Lyapunov泛函,利用Schur补引理、S-过程和相应的矩阵理论,以矩阵不等式形式给出系统鲁棒绝对稳定的若干时滞相关充分条件,改进了时滞不依赖条件的保守性.

In this paper,the problem of the stability for a class of the neutral Lurie indirect control systems with time-varying construction uncertainty were discussed.By introducing the Lyapunov function-al,and by the method of the lemma Schur and the method of S-procedure and the corresponding matrix theory,the delay-dependent stability sufficient conditions for all admissible uncertainties of the neutral Lurie system are given via linear matrix inequalities （LMIs）.The conclusion improved the delay independ-ent criteria.