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This paper is concerned with a new stability criterion for systems with time-varying delays. Firstly, a generalized integral inequality is proposed, which includes some existing inequalities as special cases. Then, a new stability criterion is derived by choosing some new Lyapunov-Krasovskii functionals. Finally, the effectiveness of our method is shown by a numerical example. INDEX TERMS Time-delay system, linear matrix inequality (LMI), integral inequality, Lyapunov-Krasovskii functional (LKF).

is paper focuses on delay-dependent stability analysis for systems with interval time-varying delays. Based on a new integral inequality and a generalized reciprocally convex combination matrix inequality, a new delay-dependent stability criterion is obtained in terms of a linear matrix inequality (LMI). Finally, the merits of the proposed criterion are shown by two numerical examples.

In this paper, for a given matrix , in terms of and , where , , some new inclusion sets for singular values of the matrix are established. It is proved that the new inclusion sets are tighter than the Geršgorin-type sets (Qi in Linear Algebra Appl. 56:105-119, 1984) and the Brauer-type sets (Li in Comput. Math. Appl. 37:9-15, 1999). A numerical experiment shows the efficiency of our new results.