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HYBRID
1998
Springer
13 years 9 months ago
Stabilization of Systems with Changing Dynamics
We present a framework for designing stable control schemes for systems whose dynamic equations change as they evolve on the state space. It is usually difficult or even impossible...
Milos Zefran, Joel W. Burdick
CDC
2008
IEEE
142views Control Systems» more  CDC 2008»
13 years 6 months ago
Stability analysis of linear hyperbolic systems with switching parameters and boundary conditions
Abstract— We study asymptotic stability of an infinite dimensional system that switches between a finite set of modes. Each mode is governed by a system of one-dimensional, lin...
Saurabh Amin, Falk M. Hante, Alexandre M. Bayen
AUTOMATICA
2005
117views more  AUTOMATICA 2005»
13 years 5 months ago
Dwell-time controllers for stochastic systems with switching Markov chain
We study the problem of feedback stabilization of a family of nonlinear stochastic systems with switching mechanism modeled by a Markov chain. We introduce a novel notion of stabi...
Stefano Battilotti, A. De Santis
CDC
2009
IEEE
158views Control Systems» more  CDC 2009»
13 years 10 months ago
Stabilization of continuous-time singularly perturbed switched systems
— In this article, stability of continuous-time switched linear systems in the singular perturbation form is investigated. We show that the stability of slow and fast switched su...
Ivan Malloci, Jamal Daafouz, Claude Iung
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
13 years 11 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo