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Lyapunov-Krasovskii Functional (lyapunov-krasovskii + functional)

Distribution by Scientific Domains

Engineering	75%

Selected Abstracts

Mean square exponential stability of generalized stochastic neural networks with time-varying delays,

ASIAN JOURNAL OF CONTROL, Issue 6 2009
Jianjiang Yu
Abstract In this paper, the mean square exponential stability problem is dealt with a class of uncertain generalized stochastic neural networks with time-varying delays. By introducing a new Lyapunov-Krasovskii functional, improved delay-dependent stability criteria are established in terms of linear matrix inequalities. The activation functions are assumed to be of more general descriptions, which generalize and improve those earlier methods. Finally, a numerical example is given to show that our results are less conservative and more efficient than the existing stability criteria. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

Network-based robust control of stochastic systems with nonlinear perturbations,

ASIAN JOURNAL OF CONTROL, Issue 1 2009
Xiaomei Zhang
Abstract Network-based robust control of stochastic systems with nonlinear perturbations is investigated in this paper. State and static output feedback controllers are designed, respectively, for stochastic networked control systems subject to the presence of network-induced delay, transmitted data dropout and nonlinear perturbations. Using the Lyapunov-Krasovskii functional and descriptor system approach, a state feedback controller and a static output feedback controller are constructed in terms of linear matrix inequalities, respectively. With the controllers, the corresponding closed-loop systems are stochastically ultimately bounded in the mean square. Two examples are provided to demonstrate the effectiveness of the proposed methods. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society [source]

LMI Approach to Guaranteed Cost Control for Networked Control Systems

ASIA-PACIFIC JOURNAL OF CHEMICAL ENGINEERING, Issue 3-4 2005
Shanbin Li
This paper addresses the time-varying but bounded delay issue of networked control systems (NCS) within the framework of a discrete-time linear state-delayed system with norm-bounded uncertainty. A delay-dependent sufficient condition for the existence of a guaranteed cost controller for NCS is presented by a new Lyapunov-Krasovskii functional. The condition is formulated as a set linear matrix inequalities (LMIs). The resulting controller can not only asymptotically stabilize the system but also guarantee an adequate level of performance. Theoretical analysis and simulation results show that the control strategy presented in this paper is effective and feasible. [source]

Lyapunov-Krasovskii functionals for additional dynamics

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 9 2003
Vladimir L. Kharitonov
Abstract A class of Lyapunov,Krasovskii functionals for the additional dynamics introduced by special transformation of time delay systems is given in the paper. Some basic properties of the functionals are also discussed. Copyright © 2003 John Wiley & Sons, Ltd. [source]