SUMMARYThis paper is concerned with establishing a delay‐dependent bounded real lemma (BRL) for singular linear parameter‐varying (LPV) systems with time‐variant delay. In terms of linear matrix inequality, a delay‐dependent BRL is presented to ensure singular time‐delay LPV systems to be admissible and satisfy a prescribed H∞ performance level. The BRL is obtained based on the construction of a parameter‐dependent Lyapunov–Krasovskii functional. The effectiveness of the proposed approach is shown by several numerical examples. Copyright © 2011 John Wiley & Sons, Ltd.

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This paper is concerned with establishing robust stability and stabilization criteria for discrete singular time-delay linear parameter varying (LPV) systems. Firstly, a robust stability criterion is obtained for this class of systems by a delay-partition approach, and thereby a less conservative sufficient condition which guarantees discrete singular time-delay LPV systems to be admissible is given. Secondly, a class of state feedback controllers for stabilizing discrete singular time-delay LPV systems is designed. Finally, compared with existing results, the numerical results of several examples illustrate the effectiveness of the approach proposed in this paper.

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