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This paper addresses an improved approach to dynamic output-feedback control design of positive systems. By using a simple matrix transformation technique that a matrix can be described via the sum of all its column vectors, a linear programming based controller design approach for nominal positive systems is proposed. Subsequently, the proposed approach is extended to interval positive systems. The...
This paper considers the problem of H∞ filter design of Markovian jump systems with time-varying delay. Based on the Lyapunov-Krasovskii functional theory and the property of convex analysis, an H∞ performance analysis condition is formulated in terms of a set of linear matrix inequalities. Then an Luenberger observer based H∞ filter, which ensures the stochastic stability of the filtering error system...
This paper addresses the problem of mean-square exponential stability of stochastic neutral systems with nonlinear stochastic perturbations. By introducing an auxiliary vector, it is shown that the deterministic Lyapunov-Krasovskii functionals can be extended to stochastic time-delay systems. Then new delay-dependent criteria are established in this paper in terms of linear matrix inequalities (LMIs)...
An observer-based robust H∞ control for a class of linear uncertain neutral-type systems is presented in this paper. Based on Lyapunov-Krasovskii theory, a delay-dependent condition for the existence of a linear full-order robust H∞ controller is constructed. By the singular value decomposition (SVD) approach, the result can be expressed in terms of a set of strict linear matrix inequalities (LMIs)...
The problem of delay-dependent H∞ filtering for uncertain stochastic time-delay systems with norm-bounded uncertainties is investigated in this paper. By introducing an additional vector, a new integral inequality in the stochastic setting is established. Based on this new inequality and free-weighting matrix technique, a delay-dependent sufficient condition for the existence of an H∞ filter for uncertain...
This paper investigates robust asymptotic mean-square stability for uncertain stochastic delay systems with Markovian switching. Two types of parametric uncertainties are considered, i.e. Lipschitz nonlinear uncertainties and norm-bounded uncertainties. Based on introducing an auxiliary vector, an integral inequality in stochastic context is obtained. By this stochastic integral inequality, delay-dependent...
This paper investigates stability analysis for linear systems with Markovian jumping parameters and state delays. Based on delay subinterval decomposition approach, a new Lyapunov-Krasovskii functional is proposed to develop the delay-dependent stochastic stability conditions for both nominal and uncertain time-delay Markovian systems. The results are formulated in terms of linear matrix inequalities...
Observer-based robust Hinfin control for a class of Ito-type stochastic systems with parametric uncertainties is investigated in this paper. Observer-based controllers which guarantee the closed-loop augmented system robustly stochastically asymptotically stable in the mean square with prescribed Hinfin disturbance attenuation levels gamma for all admissible parametric uncertainties, are established...
This paper investigates the problem of robust stochastic exponential control for a class of uncertain Ito-type stochastic Lurie systems with time delays. Based on Lyapunov-Krasovskii approach, a sufficient condition for the existence of a linear memoryless state feedback controller is formulated in terms of a linear matrix inequality (LMI). For all admissible parametric uncertainties, the desired...
This paper considers stability of stochastic systems with nonlinear uncertainties and time-varying delays. By introducing some slack matrix matrices, a delay-dependent stability criterion is obtained based on Lyapunov-Krasovskii theory. The proposed condition, which is formulated in terms of linear matrix inequalities (LMIs), is constructed without using the model transformation and cross term bounding...
This paper discusses the issue of delay-dependent robust stability for uncertain linear systems with time-varying delays and norm-bounded uncertainties. A new sufficient condition is obtained by employing a Lyapunov-Krasovskii functional (LKF). This LKF considers the cross terms between x(s) and x(s) in both single and double integrals. Both model transformation and estimating techniques for cross...
The delay-dependent exponential stability for uncertain time-delay systems is investigated based on two new integral inequalities in this paper. The uncertainties in system matrices are assumed to be norm-bounded. In terms of linear matrix inequalities (LMIs), newly sufficient stability conditions without involving model transformation and bounding techniques for cross terms are proposed. Two numerical...
In this paper, the problem of robust H∞ guaranteed cost filtering for uncertain systems with time-varying delays is firstly investigated. The systems are with both discrete delays and distributed delays, and the uncertainties are assumed to be norm-bounded. A delay-dependent robust H∞ guaranteed cost filter in terms of linear matrix inequalities (LMIs) is presented by using Lyapunov-Krasovskii theory.
This note considers Hinfin control of networked control system with norm-bounded uncertainties and Markov communication delays. The system can be modeled as discrete-time Markov jump linear system with stochastic time-delays. Stochastic stability of networked control system is studied, Hinfin norm is used to measure system performance, a synthesis method to robust Hinfin controller is presented by...
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