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This paper investigates the stability of linear systems with a time-varying delay. We propose a new approach to construct Lyapunuv-Krasovskii functional (LKF). Compared with other traditional approach, the proposed one can provide a higher time-delay upper bound and lower computation complexity. Six stability criteria by linear matrix inequalities (LMIs) are established by proposed two novel LKFs...
This note deals with the stability problem of linear system with time-varying delay in a given range. In order to analyze its stability, a new type of Lyapunov functional (LF) which incorporates more information on the delay and some triple-integral terms is constructed. By combining Jensen's integral inequality with a delay division technique, upper bound of LF derivative has been estimated more...
This paper considers the robust stability of linear discrete-time systems with nonlinear perturbations and interval time-varying delay in the state. By using a finite sum inequality approach, new delay-range-dependent stability criteria are developed in terms of linear matrix inequalities (LMIs). It is shown that the proposed criteria can provide less conservative results than some existing ones....
In this paper, we present an improved version of the delay-range-dependent stability criterion reported recently (in Automatica) for a class of linear systems with interval time-delay. The proposed delay-dependent stability analysis, using the same Lyapunov-Krasovskii functional, reduces the conservatism in the improved version of the stability criterion by tightly bounding the time-derivative of...
This paper deals with the problem of stability analysis for singular LPV systems with time-varying delay. Firstly, a criterion described by linear matrix inequalities (LMIs) is obtained based on the construction of a new parameter-dependent Lyapunov function. Secondly, based on projection approach, a new stability criterion is given with reduction both in conservatism and computational complexity...
This paper deals with the problem of the asymptotical stability for a class of linear systems with multiple time-delays. Using Lyapunov-Razumikhin theorem and the concept of matrix norm, the sufficient conditions of delay-independent stability and delay-dependent stability are derived to ensure that the linear systems with multiple time-delays are asymptotically stable. By comparing with the present...
This paper is concerned with the delay-dependent stability and robust stability for uncertain systems with time-varying delay. Through constructing a general form of Lyapunov-Krasovskii functional, and using slack matrices and the convex combination condition in the calculation, the delay-dependent stability criteria are derived in terms of linear matrix inequalities without applying any bounding...
The issue of stability of linear systems with time-varying delay is considered in this paper. By constructing a new type of Lyapunov functional which contains a novel triple integral term and using Finsler's lemma, new delay-dependent stability criteria are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.
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