Improved delay-dependent stability criteria for continuous system with two additive time-varying delay components |
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Affiliation: | 1. School of Automation, Beijing Institute of Technology, Beijing 100081, PR China;2. LAAS-CNRS, Université de Toulouse, CNRS, Toulouse 31077, France |
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Abstract: | This paper investigated the problem of improved delay-dependent stability criteria for continuous system with two additive time-varying delay components. Free weighting matrices and convex combination method are not involved, which achieves much less numbers of linear matrix inequalities (LMIs) and LMIs scalar decision variables. By taking advantage of integral inequality and new Lyapunov–Krasovskii functional, new less conservative delay-dependent stability criterion is derived. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. |
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Keywords: | Time-delay system Additive delay components Lyapunov–Krasovskii function Linear matrix inequality |
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