Delay decomposition approach to delay-dependent stability for singular time-delay systems

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This study deals with the problem of delay-dependent stability analysis for singular time-delay systems. By employing the delay decomposition approach, an improved delay-dependent stability criterion is established in terms of linear matrix inequalities (LMIs), which ensures that the singular time-delay system is regular, impulse free and asymptotically stable. This stability criterion, which is obtained without using model transformation and bounding technique for cross-product terms, is much less conservative and includes some existing results as its special cases. Numerical examples are given to illustrate the effectiveness of the proposed method.