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» Analysis of discrete-time piecewise affine and hybrid system...
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114
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AUTOMATICA
2002
263views more  AUTOMATICA 2002»
15 years 3 days 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...
109
Voted
HYBRID
2010
Springer
14 years 10 months ago
Oscillation analysis of linearly coupled piecewise affine systems
In recent years, there have been intensive theoretical research works on modeling/analysis of oscillatory phenomena. In this paper, we derive a sufficient condition under which (a...
Kenji Kashima, Yasuyuki Kawamura, Jun-ichi Imura
HYBRID
2007
Springer
15 years 4 months ago
Qualitative Analysis of Nonlinear Biochemical Networks with Piecewise-Affine Functions
Abstract. Nonlinearities and the lack of accurate quantitative information considerably hamper modeling and system analysis of biochemical networks. Here we propose a procedure for...
M. W. J. M. Musters, Hidde de Jong, P. P. J. van d...
116
Voted
HYBRID
2007
Springer
15 years 4 months ago
Piecewise Constant Feedback Control of Piecewise Affine Gene Network Models
Abstract. The use of hybrid dynamical systems to model gene regulation is impelled by the switch-like behaviour of the latter. Piecewise affine differential equations is one of the...
Etienne Farcot, Jean-Luc Gouzé
93
Voted
AUTOMATICA
2008
146views more  AUTOMATICA 2008»
15 years 11 days 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