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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
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
11 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
AUTOMATICA
2008
126views more  AUTOMATICA 2008»
11 years 5 months ago
Local stability analysis using simulations and sum-of-squares programming
The problem of computing bounds on the region-of-attraction for systems with polynomial vector fields is considered. Invariant subsets of the region-of-attraction are characterize...
Ufuk Topcu, Andrew K. Packard, Peter Seiler
CDC
2010
IEEE
129views Control Systems» more  CDC 2010»
11 years 8 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
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
11 years 8 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...
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