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SIAMCO
2011
13 years 2 months ago
Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces
Abstract. We consider switched systems on Banach and Hilbert spaces governed by strongly continuous one-parameter semigroups of linear evolution operators. We provide necessary and...
Falk M. Hante, Mario Sigalotti
CDC
2010
IEEE
103views Control Systems» more  CDC 2010»
13 years 2 months ago
Integrator forwarding via dynamic scaling
The problem of integrator forwarding is revisited using the notion of dynamically scaled (control) Lyapunov function. A new class of dynamic stabilizing control laws is presented, ...
Laurent Praly, Daniele Carnevale, Alessandro Astol...
CDC
2010
IEEE
145views Control Systems» more  CDC 2010»
13 years 2 months ago
Construction of Lyapunov functions for piecewise-deterministic Markov processes
The purpose of this contribution is twofold: 1) to present for the first time a Lyapunov function that proves exponential ergodicity of a process studied by the authors in [1], whe...
Alexandre R. Mesquita, João Pedro Hespanha
SCL
2010
124views more  SCL 2010»
13 years 5 months ago
ISDS small-gain theorem and construction of ISDS Lyapunov functions for interconnected systems
We consider networks of input-to-state dynamically stable (ISDS) systems and use a small-gain condition to assure the ISDS property for their interconnection. Under this small-gai...
Sergey Dashkovskiy, Lars Naujok
AUTOMATICA
2008
112views more  AUTOMATICA 2008»
13 years 6 months ago
Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions
Counterexamples are given which show that a linear switched system (with controlled switching) that can be stabilized by means of a suitable switching law does not necessarily admi...
Franco Blanchini, Carlo Savorgnan
TROB
2002
151views more  TROB 2002»
13 years 7 months ago
A control Lyapunov function approach to multiagent coordination
In this paper, the multiagent coordination problem is studied. This problem is addressed for a class of robots for which control Lyapunov functions can be found. The main result is...
Petter Ögren, Magnus Egerstedt, Xiaoming Hu
SIAMCO
2000
75views more  SIAMCO 2000»
13 years 7 months ago
Feedback Stabilization and Lyapunov Functions
Given a locally defined, nondifferentiable but Lipschitz Lyapunov function, we construct a (discontinuous) feedback law which stabilizes the underlying system to any given toleran...
F. H. Clarke, Yu. S. Ledyaev, L. Rifford, R. J. St...
AUTOMATICA
2002
263views more  AUTOMATICA 2002»
13 years 7 months ago
Analysis of discrete-time piecewise affine and hybrid systems
In this paper we present various algorithms both for stability and performance analysis of discrete-time Piece-Wise Affine (PWA) systems. For stability, different classes of Lyapu...
Giancarlo Ferrari-Trecate, Francesco Alessandro Cu...
AUTOMATICA
2006
95views more  AUTOMATICA 2006»
13 years 7 months ago
Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentim...
Frédéric Mazenc, Michael Malisoff, M...
AUTOMATICA
2007
142views more  AUTOMATICA 2007»
13 years 7 months ago
Supervisory control using a new control-relevant switching
This paper presents a new supervisory control scheme, which is based on a control-relevant switching logic. Unlike most of the existing switching methods considering only estimato...
Tae-Woong Yoon, Jung-Su Kim, A. Stephen Morse