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CDC
2010
IEEE
124views Control Systems» more  CDC 2010»
11 years 6 days ago
A relaxation of Lyapunov conditions and controller synthesis for discrete-time periodic systems
This paper proposes a novel approach to stability analysis and controller synthesis for discrete-time periodically time-varying systems. Firstly, a relaxation of standard Lyapunov ...
Christoph Bohm, Mircea Lazar, Frank Allgöwer
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
11 years 7 days ago
Stability analysis of networked control systems: A sum of squares approach
This paper presents a sum of squares (SOS) approach to the stability analysis of networked control systems (NCSs) incorporating time-varying delays and time-varying transmission in...
Nicolas William Bauer, Paul J. H. Maas, W. P. M. H...
CDC
2010
IEEE
129views Control Systems» more  CDC 2010»
11 years 7 days ago
On parameterized Lyapunov and control Lyapunov functions for discrete-time systems
This paper deals with the existence and synthesis of parameterized-(control) Lyapunov functions (p-(C)LFs) for discrete-time nonlinear systems that are possibly subject to constrai...
Mircea Lazar, Rob H. Gielen
AUTOMATICA
2011
11 years 7 days ago
Stability analysis of nonlinear quadratic systems via polyhedral Lyapunov functions
— Quadratic systems play an important role in the modeling of a wide class of nonlinear processes (electrical, robotic, biological, etc.). For such systems it is of mandatory imp...
Francesco Amato, Francesco Calabrese, Carlo Cosent...
SIAMCO
2000
90views more  SIAMCO 2000»
11 years 5 months ago
Finite-Time Stability of Continuous Autonomous Systems
Finite-time stability is defined for equilibria of continuous but non-Lipschitzian autonomous systems. Continuity, Lipschitz continuity, and H
Sanjay P. Bhat, Dennis S. Bernstein
MCSS
2007
Springer
11 years 5 months ago
Lyapunov functions for time-varying systems satisfying generalized conditions of Matrosov theorem
The classical Matrosov theorem concludes uniform asymptotic stability of time varying systems via a weak Lyapunov function (positive definite, decrescent, with negative semidefi...
Frédéric Mazenc, Dragan Nesic
AUTOMATICA
2005
94views more  AUTOMATICA 2005»
11 years 5 months ago
Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given ...
Michael Malisoff, Frédéric Mazenc
AUTOMATICA
2005
136views more  AUTOMATICA 2005»
11 years 5 months ago
Conjugate Lyapunov functions for saturated linear systems
Based on a recent duality theory for linear differential inclusions (LDIs), the condition for stability of an LDI in terms of one Lyapunov function can be easily derived from that...
Tingshu Hu, Rafal Goebel, Andrew R. Teel, Zongli L...
SIAMCO
2008
127views more  SIAMCO 2008»
11 years 5 months ago
Control Lyapunov Functions and Zubov's Method
For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov fun...
Fabio Camilli, Lars Grüne, Fabian Wirth
MCS
2008
Springer
11 years 5 months ago
On the stability analysis of nonlinear systems using polynomial Lyapunov functions
In the stability study of nonlinear systems, not to found feasible solution for the LMI problem associated with a quadratic Lyapunov function shows that it doesn't exist posi...
Hajer Bouzaouache, Naceur Benhadj Braiek
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