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In this paper, the problem of delay-dependent stability analysis of time-varying delay systems is investigated. Firstly, a new inequality which is the modified version of free-matrix-based integral inequality is derived, and then by aid of this new inequality, two novel lemmas which are relaxed conditions for some matrices in a Lyapunov function are proposed. Based on the lemmas, improved delay-dependent...
The paper addresses the problem of H?? model reduction for uncertain Markovian jump systems with time-varying delay and uncertain switching probabilities. The purpose is to find a low-order model which can be used to approximate the original system such that the error system has a prescribed H?? performance. A sufficient condition is obtained in the form of matrix inequality. The cone complementary...
The stabilization problem for a class of continuous-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays is investigated. The time delays appear in both the state and the control input. A new descriptor model, which is equivalent to the resulting closed-loop system, is introduced. Based on this, some new delay-independent and delay-dependent conditions for the existence of state-feedback...
This paper deals with the problem of robust stochastic stability and robust H∞ control for uncertain stochastic systems with a time-delay in the state. The parametric uncertainty under consideration is of a linear fraction form. A desired state feedback controller can be designed by solving a linear matrix inequality.
This paper considers the problem of robust H ~ control for uncertain discrete systems with time-varying delays. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and measured output matrices. Attention is focused on the design of a full-order exponential stable dynamic output feedback controller which guarantees the exponential...
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