On guaranteed cost control of neutral systems by retarded integral state feedback

This paper investigates the optimal guaranteed cost control of synchronization for uncertain stochastic complex networks with time-varying delays. The aim is to design state-feedback controllers such that the complex networks are globally asymptotical mean-square synchronization, and meanwhile the optimal upper bound of cost function is guaranteed. Based on Lyapunov–Krasovskii stability theory and Itô differential rule, sufficient condition for the existence of the optimal guaranteed cost control laws is given in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed method.

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Nonfragile Guaranteed Cost Control and Optimization for Interconnected Systems of Neutral Type

Mathematical Problems in Engineering ◽

10.1155/2013/586091 ◽

2013 ◽

Vol 2013 ◽

pp. 1-15

Author(s):

Heli Hu ◽

Dan Zhao ◽

Qingling Zhang

Keyword(s):

State Feedback ◽

Cost Control ◽

Optimization Problems ◽

Neutral Type ◽

Guaranteed Cost Control ◽

State Feedback Control ◽

Interconnected Systems ◽

Time Varying ◽

Design And Optimization ◽

Guaranteed Cost

The design and optimization problems of the nonfragile guaranteed cost control are investigated for a class of interconnected systems of neutral type. A novel scheme, viewing the interconnections with time-varying delays as effective information but not disturbances, is developed to decrease the conservatism. Many techniques on decomposing and magnifying the matrices are utilized to obtain the guaranteed cost of the considered system. Also, an algorithm is proposed to solve the nonlinear problem of the interconnected matrices. Based on this algorithm, the minimization of the guaranteed cost of the considered system is obtained by optimization. Further, the state feedback control is extended to the case in which the underlying system is dependent on uncertain parameters. Finally, two numerical examples are given to illustrate the proposed method, and some comparisons are made to show the advantages of the schemes of dealing with the interconnections.

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Delay-dependent guaranteed cost control for uncertain neutral systems with nonlinear parameter perturbations

IET Control Theory and Applications ◽

10.1049/iet-cta:20050407 ◽

2007 ◽

Vol 1 (3) ◽

pp. 675-681 ◽

Cited By ~ 13

Author(s):

W.-A. Zhang ◽

L. Yu

Keyword(s):

Cost Control ◽

Guaranteed Cost Control ◽

Nonlinear Parameter ◽

Neutral Systems ◽

Guaranteed Cost ◽

Parameter Perturbations ◽

Delay Dependent

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Guaranteed Cost Control Design of 4D Lorenz-Stenflo Chaotic System via T-S Fuzzy Approach

Discrete Dynamics in Nature and Society ◽

10.1155/2012/734754 ◽

2012 ◽

Vol 2012 ◽

pp. 1-9

Author(s):

Yi-You Hou ◽

Meei-Ling Hung ◽

Jui-Sheng Lin

Keyword(s):

Chaotic System ◽

State Feedback ◽

Cost Control ◽

Lyapunov Stability Theory ◽

Guaranteed Cost Control ◽

Linear Matrix ◽

Control Of Chaos ◽

Guaranteed Cost ◽

Takagi Sugeno ◽

Method Approach

This paper investigates the guaranteed cost control of chaos problem in 4D Lorenz-Stenflo (LS) system via Takagi-Sugeno (T-S) fuzzy method approach. Based on Lyapunov stability theory and linear matrix inequality (LMI) technique, a state feedback controller is proposed to stabilize the 4D Lorenz-Stenflo chaotic system. An illustrative example is provided to verify the validity of the results developed in this paper.

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