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Content available Delay-dependent dissipative control for stochastic singular systems with state delay
Ding C., Li Q.
Archives of Control Sciences
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2013
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Vol. 23, no. 3
281--293
EN
The problem of delay-dependent dissipative analysis and control for stochastic singular systems with state delay is investigated in this paper. Delay-dependent dissipative condition for the stochastic singular systems with state delay is obtained by employing singular stochastic Lyapunov and LMI-based methods. Based on this condition, a delay-dependent dissipative controller is presented. A numerical example is provided to demonstrate the effectiveness of the proposed approach.
2
Content available remote New delay-dependent stability for systems with interval time-varying delay
Cui Y., Zhang T.
Przegląd Elektrotechniczny
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2012
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R. 88, nr 3b
97-99
EN
This paper is concerned with the stability of systems with interval time-varying delay. By employing a new and tighter integral inequality and constructing an appropriate type of Lyapunov functional, the improved delay-dependent stability criteria are derived. Because neither any model transformation nor free weighting matrices are employed in the theoretical derivation, the developed stability criteria simplify and improve the existing stability conditions. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed methods.
PL
Analizowano stabilność systemów z interwałowym zmiennym w czasie opóźnieniem. Wyprowadzono nowe kryteria stabilności bazując na funkcjonale Lapunowa.
3
Content available remote Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays
Li J., Li J., Xia Z.
International Journal of Applied Mathematics and Computer Science
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2011
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Vol. 21, no 4
585-603
EN
This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF0 is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
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