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Switched nonlinear systems with state-dependent dwell-time

✍ Scribed by Claudio De Persis; Raffaella De Santis; A.Stephen Morse

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
320 KB
Volume
50
Category
Article
ISSN
0167-6911

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✦ Synopsis

The asymptotic convergence of a switched nonlinear system in the presence of disturbances is studied. The system switches among a family of integral input-to-state stable systems. The time between two consecutive switchings is not less than a value D. This dwell-time D is allowed to take di erent values according to a function whose argument is the state of the system at the switching times. We propose a dwell-time function which depends on the comparison functions which characterize the integral input-to-state stability property and guarantees the state of the switched system to converge to zero under the action of disturbances with "bounded energy". The main feature of the analysis is that it does not rely on the property for the switching to stop in ΓΏnite time. The two important cases of locally exponentially stable and feedforward systems are analyzed in detail.

πŸ“œ SIMILAR VOLUMES

A ¡-dependent approach to H∞ control of
A ¡-dependent approach to H∞ control of uncertain switched linear systems with average dwell time
✍ Lixian Zhang; El-Kebir Boukas; Peng Shi; Zhaobo Chen πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 131 KB

## Abstract This paper concerns __H__~∞~ control problem for a class of discrete‐time uncertain switched linear systems with average dwell time. The stability result for general discrete‐time switched systems is first explored, and a ¡‐dependent approach is then introduced for the considered system