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SIAMCO
2011
12 years 11 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»
12 years 11 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»
12 years 11 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 2 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 2 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 4 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 4 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 4 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 4 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 4 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