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Delay feedback control in exponential stabilization of linear time-varying systems with input delay

In this paper, we investigate the memory controller design for the exponential stabilization of linear time-varying systems with control delay. Based on state transformation and an improved Lyapunov-Krasovskii functional, new sufficient conditions for the exponential stabilization of the system are derived to design memory feedback controller which makes the system exponentially stabilizable. The conditions are given in terms of the solution of appropriate Riccati differential equations, which allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. An application to robust control of uncertain linear control systems with input delay as well as illustrative examples to show the effectiveness of the obtained results is given. © The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.


 Hien L.V., Phat V.N.
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  Từ khóa : Control delay; Delay feedback control; Design memories; Exponential stability; Exponential stabilization; Illustrative examples; Input delay; Input delays; Linear time-varying systems; Lyapunov-Krasovskii functional; Memory controller; Riccati differential equation; State transformation; Sufficient conditions; Controllers; Delay control systems; Feedback control; Linear control systems; Nonlinear control systems; Riccati equations; Robust control; Stabilization; State feedback; System stability; Time varying systems; Feedback