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This paper is concerned with the robust stability of neutral systems with time-varying delays and norm-bounded uncertainties. Through constructing a Lyapunov-Krasovskii functional of more complete form, using slack matrices and the convex combination condition, the delay-dependent stability criteria are obtained in terms of linear matrix inequalities. Since the obtained criteria take account into...
This paper is concerned with the robust asymptotical stability in mean square for stochastic systems with time delay and two kinds of uncertainties. Firstly, a Lyapunov-Krasoskii functional of more complete form is constructed. Then, in order to establish the robust stability criteria for stochastic time-delay systems with two kinds of uncertainties in the same frame, a new variable is introduced...
This paper is concerned with the robust exponential stability in mean square for uncertain stochastic systems with time delay. Based on Ito?? calculus rules, a more general Lyapunov-Krasovskii functional is constructed and the action of the infinitesimal generator of Ito?? diffusion on it is computed explicitly. Then, a novel delay-dependent stability criterion is obtained in terms of linear matrix...
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...
This note is concerned with the design of dynamical output feedback compensator that stabilizes the neutral delay systems. Firstly, the neutral type transformation of the original systems is introduced, and a correspondent Lyapunov-Krasovskii functional is constructed to establish the stability condition of the considered system. Secondly, the parameterization of compensator is exploited to establish...
The switched system composed of several linear time-delay systems is considered. The problem is to find the constraint conditions on subsystems and switching sequences to preserve the exponential stability. The multiple Lyapunov functions approach is generalized to the time-delay case, it is verified that the specified stability criterion for subsystems implies the exponential stability of whole system...
The switched dynamical system consisting of two linear subsystems with delay is considered. The problem is to find conditions guaranteeing exponential stability of the system for any switching sequence. Combining with Halanay differential inequality, both quadratic and piecewise quadratic construction of Lyapunov function is exploited, from which the stability criteria in terms of linear matrix inequalities...
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