Input-to-Output Stability for Systems Described by Retarded Functional Differential Equations
- 1 January 2008
- journal article
- Published by Elsevier in European Journal of Control
- Vol. 14 (6)
Abstract
In this work characterizations of external notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov and Razumikhin functions of (uniform) Weighted Input-to-Output Stability are given. The results of this work have been developed for systems with outputs in abstract normed linear spaces in order to allow outputs with no delay, with discrete or distributed delay or functional outputs with memory.Keywords
This publication has 32 references indexed in Scilit:
- Non-uniform in time robust global asymptotic output stability for discrete-time systemsInternational Journal of Robust and Nonlinear Control, 2006
- Nonuniform in Time Input-to-State Stability and the Small-Gain TheoremIEEE Transactions on Automatic Control, 2004
- Input-to-state dynamical stability and its Lyapunov function characterizationIEEE Transactions on Automatic Control, 2002
- Control Lyapunov-Razumikhin functions and robust stabilization of time delay systemsIEEE Transactions on Automatic Control, 2001
- Connections between Razumikhin-type theorems and the ISS nonlinear small gain theoremIEEE Transactions on Automatic Control, 1998
- A small-gain control method for nonlinear cascaded systems with dynamic uncertaintiesIEEE Transactions on Automatic Control, 1997
- Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stabilityMathematics of Control, Signals, and Systems, 1996
- New characterizations of input-to-state stabilityIEEE Transactions on Automatic Control, 1996
- Small-gain theorem for ISS systems and applicationsMathematics of Control, Signals, and Systems, 1994
- Smooth stabilization implies coprime factorizationIEEE Transactions on Automatic Control, 1989