The Experts below are selected from a list of 103644 Experts worldwide ranked by ideXlab platform
Xiaofeng Liao - One of the best experts on this subject based on the ideXlab platform.
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delay dependent Robust Stability of uncertain fuzzy systems with time varying delays
IEE Proceedings - Control Theory and Applications, 2004Co-Authors: Houjun Wang, Xiaofeng LiaoAbstract:The Stability problem of Takagi-Sugeno fuzzy systems with time-varying delays and parameter uncertainties is considered. A delay-dependent Robust Stability criterion is given in terms of linear matrix inequalities by using the Lyapunov-Krasovskii functional method and by applying a generalised Park's inequality for bounding the cross-terms. Examples are given to illustrate the effectiveness of the result.
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novel Robust Stability criteria for interval delayed hopfield neural networks
IEEE Transactions on Circuits and Systems I-regular Papers, 2001Co-Authors: Xiaofeng Liao, Kwokwo Wong, Guanrong ChenAbstract:In this paper, some novel criteria for the global Robust Stability of a class of interval Hopfield neural networks with constant delays are given. Based on several new Lyapunov functionals, delay-independent criteria are provided to guarantee the global Robust Stability of such systems. For conventional Hopfield neural networks with constant delays, some new criteria for their global asymptotic Stability are also easily obtained. All the results obtained are generalizations of some recent results reported in the literature for neural networks with constant delays. Numerical examples are also given to show the correctness of the analysis.
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Robust Stability for interval hopfield neural networks with time delay
IEEE Transactions on Neural Networks, 1998Co-Authors: Xiaofeng Liao, Jeubang YuAbstract:The conventional Hopfield neural network with time delay is intervalized to consider the bounded effect of deviation of network parameters and perturbations yielding a novel interval dynamic Hopfield neural network (IDHNN) model. A sufficient condition related to the existence of unique equilibrium point and its Robust Stability is derived.
Igor Podlubny - One of the best experts on this subject based on the ideXlab platform.
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Robust Stability test of a class of linear time invariant interval fractional order system using lyapunov inequality
Applied Mathematics and Computation, 2007Co-Authors: Yangquan Chen, Igor PodlubnyAbstract:This paper provides a new analytical Robust Stability checking method of fractional-order linear time invariant interval uncertain system. This paper continues the authors’ previous work [YangQuan Chen, Hyo-Sung Ahn, I. Podlubny, Robust Stability check of fractional-order linear time invariant systems with interval uncertainties, in: Proceedings of the IEEE Conference on Mechatronics and Automation, Niagara Falls, Canada, July, 2005, pp. 210–215] where matrix perturbation theory was used. For the new Robust Stability checking, Lyapunov inequality is utilized for finding the maximum eigenvalue of a Hermitian matrix. Through numerical examples, the usefulness and the effectiveness of the newly proposed method are verified.
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Robust Stability check of fractional order linear time invariant systems with interval uncertainties
Signal Processing, 2006Co-Authors: Yangquan Chen, Igor PodlubnyAbstract:For uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients described in state space form, the Robust Stability check problem is solved for the first time in this paper. Both the checking procedure and the Matlab code are presented with two illustrative examples. The conservatism is shown to be small.
Guanrong Chen - One of the best experts on this subject based on the ideXlab platform.
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Robust Stability and stabilization of fractional order interval systems an lmi approach
IEEE Transactions on Automatic Control, 2009Co-Authors: Guanrong ChenAbstract:This technical note presents necessary and sufficient conditions for the Stability and stabilization of fractional-order interval systems. The results are obtained in terms of linear matrix inequalities. Two illustrative examples are given to show that our results are effective and less conservative for checking the Robust Stability and designing the stabilizing controller for fractional-order interval systems.
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novel Robust Stability criteria for interval delayed hopfield neural networks
IEEE Transactions on Circuits and Systems I-regular Papers, 2001Co-Authors: Xiaofeng Liao, Kwokwo Wong, Guanrong ChenAbstract:In this paper, some novel criteria for the global Robust Stability of a class of interval Hopfield neural networks with constant delays are given. Based on several new Lyapunov functionals, delay-independent criteria are provided to guarantee the global Robust Stability of such systems. For conventional Hopfield neural networks with constant delays, some new criteria for their global asymptotic Stability are also easily obtained. All the results obtained are generalizations of some recent results reported in the literature for neural networks with constant delays. Numerical examples are also given to show the correctness of the analysis.
Carlos E De Souza - One of the best experts on this subject based on the ideXlab platform.
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Robust Stability and stabilization of uncertain discrete time markovian jump linear systems
IEEE Transactions on Automatic Control, 2006Co-Authors: Carlos E De SouzaAbstract:This note deals with Robust Stability and control of uncertain discrete-time linear systems with Markovian jumping parameters. Systems with polytopic-type parameter uncertainty in either the state-space model matrices, or in the transition probability matrix of the Markov process, are considered. This note develops methods of Robust Stability analysis and Robust stabilization in the mean square sense which are dependent on the system uncertainty. The design of both mode-dependent and mode-independent control laws is addressed. The proposed methods are given in terms of linear matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of the derived results.
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criteria for Robust Stability and stabilization of uncertain linear systems with state delay
Automatica, 1997Co-Authors: Carlos E De SouzaAbstract:This paper deals with the problem of Robust Stability analysis and Robust stabilization for a class of uncertain linear systems with a time-varying state delay. The uncertainty is assumed to be norm-bounded and appears in all the matrices of the state-space model. We develop delay-dependent methods for Robust Stability analysis and Robust stabilization via linear memoryless state feedback. The proposed methods are given in terms of linear matrix inequalities.
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delay dependent Robust Stability and stabilization of uncertain linear delay systems a linear matrix inequality approach
IEEE Transactions on Automatic Control, 1997Co-Authors: Carlos E De SouzaAbstract:This paper considers the problems of Robust Stability analysis and Robust control design for a class of uncertain linear systems with a constant time-delay. The uncertainty is assumed to be norm-bounded and appears in all the matrices of the state-space model. We develop methods for Robust Stability analysis and Robust stabilization. The proposed methods are dependent on the size of the delay and are given in terms of linear matrix inequalities.
Pedro L D Peres - One of the best experts on this subject based on the ideXlab platform.
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special time varying lyapunov function for Robust Stability analysis of linear parameter varying systems with bounded parameter variation
Iet Control Theory and Applications, 2009Co-Authors: Ricardo C L F Oliveira, M C Oliveira, Pedro L D PeresAbstract:The Robust Stability of linear continuous-time uncertain systems in polytopic domains is investigated. The uncertain parameters are assumed as time varying with bounded rates of variation. The Robust Stability conditions are obtained from the definition of a Lyapunov function with a particular structure, depending on integer powers κ of the dynamic uncertain time-varying matrix of the system and on a parameter-dependent matrix to be determined. As a consequence, parametrised linear matrix inequality conditions can be derived in terms of κ for a particular structure of the decision variables. As κ grows, the Robust Stability conditions can take into account bounds on the successive time derivatives of the uncertain parameters whenever this information is available, reducing the conservativeness of the evaluations. Numerical examples illustrate the effectiveness of the proposed methodology.
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Robust Stability analysis and control design for time varying discrete time polytopic systems with bounded parameter variation
American Control Conference, 2008Co-Authors: Ricardo C L F Oliveira, Pedro L D PeresAbstract:This paper investigates the problems of Robust Stability analysis and state feedback control design for discrete- time linear systems with time-varying parameters. It is assumed that the time-varying parameters lie inside a polytopic domain and have known bounds on their rate of variation. By exploiting geometric properties of the uncertainty domain, linear matrix inequality conditions that take into account the bounds on the rates of parameter variations are proposed. A feasible solution provides a parameter-dependent Lyapunov function assuring the Robust Stability of this class of systems. Extentions to deal with Robust control design as well as gain-scheduling by state feedback are also provided in terms of linear matrix inequalities. Numerical examples illustrate the results.
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lmi conditions for Robust Stability analysis based on polynomially parameter dependent lyapunov functions
Systems & Control Letters, 2006Co-Authors: Ricardo C L F Oliveira, Pedro L D PeresAbstract:Abstract The Robust Stability of uncertain linear systems in polytopic domains is investigated in this paper. The main contribution is to provide a systematic procedure for generating sufficient Robust Stability linear matrix inequality conditions based on homogeneous polynomially parameter-dependent Lyapunov matrix functions of arbitrary degree on the uncertain parameters. The conditions exploit the positivity of the uncertain parameters, being constructed in such a way that: as the degree of the polynomial increases, the number of linear matrix inequalities and free variables increases and the test becomes less conservative; if a feasible solution exists for a certain degree, the conditions will also be verified for larger degrees. For any given degree, the feasibility of a set of linear matrix inequalities defined at the vertices of the polytope assures the Robust Stability. Both continuous and discrete-time uncertain systems are addressed, as illustrated by numerical examples.
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an lmi condition for the Robust Stability of uncertain continuous time linear systems
IEEE Transactions on Automatic Control, 2002Co-Authors: Domingos C W Ramos, Pedro L D PeresAbstract:A new sufficient condition for the Robust Stability of continuous-time uncertain linear systems with convex bounded uncertainties is proposed in this note. The results are based on linear matrix inequalities (LMIs) formulated at the vertices of the uncertainty polytope, which provide a parameter dependent Lyapunov function that assures the Stability of any matrix inside the uncertainty domain. With the aid of numerical procedures based on unidimensional search and the LMIs feasibility tests, a simple and constructive way to compute Robust Stability domains can be established.
