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The issue of the stability of linear systems with time-varying delays is considered in this paper. The time-delay considered in this paper belongs to a given interval and its derivative also belongs to a given interval. By constructing a new type of Lyapunov functional where some triple-integral terms are contained and the information of the lower bound on the delay is considered sufficiently, new...
In this paper, the problems of the exponential stability and stabilization for a class of discrete systems with time-varying delays are considered. By converting discrete systems with time-varying delays into switched systems and using the average dwell-time method, a new stability criterion is obtained and presented in terms of linear matrix inequality. Based on the obtained stability condition,...
This paper is concerned with the problem of robust stability of uncertain neutral systems with discrete and distributed delays. The uncertainties under consideration are assumed to be time-varying but norm bounded. By introducing a new form of Lyapunov-Krasovskii functional which contains some novel triple-integral terms, improved discrete-, distributed-, and neutral-delay-dependent stability conditions...
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.
The stability problem of multiple additive time-delay system is considered using Lyapunov- Krasovskii stability theory. Based on the LMI (linear matrix inequality), the robust stability criterion and robust state-feedback controller design are derived for systems which may contain non-parameter uncertainties. Finally, a numerical example illustrates the validity and the lower conservation of the proposed...
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