40 research outputs found
Exponential stability for a class of uncertain linear hybrid time-delay systems and applications
Full text linkControllability and controller-observer design for a class of linear time-varying systems
Get PDF“The final publication is available at Springer via http://dx.doi.org/10.1007/s10852-012-9212-6"In this paper a class of linear time-varying control systems is considered. The time variation consists of a scalar time-varying coefficient multiplying the state matrix of an otherwise time-invariant system. Under very weak assumptions of this coefficient, we show that the controllability can be assessed by an algebraic rank condition, Kalman canonical decomposition is possible, and we give a method for designing a linear state-feedback controller and Luenberger observer
Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties
Get PDFA constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
Get PDFDelay-dependent optimal guaranteed cost control of stochastic neural networks with interval nondifferentiable time-varying delays
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New characterization of controllability via stabilizability and Riccati equation for LTV systems
Full text linkThis paper presents a new characterization of controllability via stabilizability and Riccati equation for linear time-varying systems. An equivalence is given between the global null controllability, complete stabilizability and the existence of the solution of some appropriate Riccati differential equation. © The author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved
Design of H∞ control of neural networks with time-varying delays
Full text linkThis paper deals with the H∞ control problem of neural networks with time-varying delays. The system under consideration is subject to time-varying delays and various activation functions. Based on constructing some suitable Lyapunov-Krasovskii functionals, we establish new sufficient conditions for H∞ control for two cases of time-varying delays: (1) the delays are differentiable and have an upper bound of the delay-derivatives and (2) the delays are bounded but not necessary to be differentiable. The derived conditions are formulated in terms of linear matrix inequalities, which allow simultaneous computation of two bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the effectiveness of our results
Renin expression in large renal vessels during fetal development depends on functional β 1
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