Robust Stabilization of Linear Systems with Delayed State and Control

P. T. Nam and V. N. Phat ()
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P. T. Nam: Qui Nhon University
V. N. Phat: Institute of Mathematics

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 2, No 7, 287-299

Abstract: Abstract Robust stabilization of linear systems with delays on both the state and control input is studied in this paper. Using an improved Lyapunov-Krasovskii functional, we establish new criteria that ensure the robust stability of the closed-loop system with memoryless state feedback controls. The generalized conditions are derived in terms of linear matrix inequalities (LMIs), allowing us to compute simultaneously the two bounds that characterize the exponential stability rate of the solution and can be easily solved by numerical algorithms.

Keywords: Stabilization; Robust control; Delayed state and control; Uncertainties; Lyapunov functional; Linear matrix inequality (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10957-008-9453-8

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