Abstract
In this paper, the problem of the stability analysis for neutral singular systems with mixed delays is revisited. By the Lyapunov–Krasovskill functional approach and the singular system methodology, novel stability criteria are acquired, which can be easily expressed by linear matrix inequalities. First of all, in terms of Leibniz–Newton formula, zero equation with free-weighting matrices is fully constructed, which plays a key role in the field of stability analysis and makes the stability criterion feasible. Secondly, the asymptotically stability for neutral singular systems is strictly shown, which is different from other existing results. Thirdly, the regularity, non-impulsiveness and stability can be guaranteed based on some sufficient conditions. Finally, three numerical examples and simulation studies are presented to demonstrate the validity and feasibility of our method.
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