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IMA Journal of Mathematical Control and Information 2001 18(3):355-379; doi:10.1093/imamci/18.3.355
© 2001 by Institute of Mathematics and its Applications
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Robust stabilizing feedback for a class of imperfectly known nonlinear systems with multiple time-delays

I. D. Clarkson1 and D. P. Goodall1

1 Control Theory & Applications Centre, Coventry University, Priory Street, Coventry CV1 5FB, UK. Email: I.Clarkson@coventry.ac.uk, Email: D. Goodall@coventry.ac.uk

This investigation addresses the problem of synthesizing robust stabilizing continuous feedback controls for certain classes of imperfectly known nonlinear systems with multiple time-delays. The imperfectly known systems are modelled as nonlinear perturbations influencing a known nominal time-delay system; the nonlinear perturbations being time-varying and/or state, delayed-state and input dependent. Adopting a deterministic methodology based on Lyapunov theory and Lyapunov–Krasovski functionals, delay-independent stability criteria are proposed that are sufficient to ensure a global uniform asymptotic stability property for the prescribed class of delay systems.

Keywords: multiple time-; delays; nonlinear systems; imperfectly known dynamic systems; feedback stabilization; robust controls.


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