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» Lyapunov stability analysis of higher-order 2-D systems
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AUTOMATICA
2008
146views more  AUTOMATICA 2008»
13 years 5 months ago
Input-to-state stability and interconnections of discontinuous dynamical systems
In this paper we will extend the input-to-state stability (ISS) framework to continuous-time discontinuous dynamical systems (DDS) adopting piecewise smooth ISS Lyapunov functions...
W. P. M. H. Heemels, Siep Weiland
ISCAS
2003
IEEE
135views Hardware» more  ISCAS 2003»
13 years 10 months ago
Stability and stabilisation of 2D discrete linear systems with multiple delays
In this paper, we study the stability and the stabilisation of 2 0 discrete linear systems with multiple state delays. All of the new results obtained are based on analysis of the...
Wojciech Paszke, Krzysztof Galkowski, James Lam, S...
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
AUTOMATICA
2008
126views more  AUTOMATICA 2008»
13 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
ICRA
2006
IEEE
95views Robotics» more  ICRA 2006»
13 years 11 months ago
Stability Analysis and Control Law Design for Acrobots
— This paper presents a novel control strategy based on a non-smooth Lyapunov function to guarantee the stability of the system in the whole motion space. Three control laws that...
Xu-Zhi Lai, Jin-Hua She, Simon X. Yang, Min Wu