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CMSB
2011
Springer
12 years 8 months ago
The singular power of the environment on stochastic nonlinear threshold Boolean automata networks
Abstract. This paper tackles theoretically the question of the structural stability of biological regulation networks subjected to the influence of their environment. The model of...
Jacques Demongeot, Sylvain Sené
AUTOMATICA
2008
116views more  AUTOMATICA 2008»
13 years 8 months ago
Performance limitations in reference tracking and path following for nonlinear systems
We investigate limits of performance in reference-tracking and path-following and highlight an essential difference between them. For a class of nonlinear systems, we show that in...
A. Pedro Aguiar, João Pedro Hespanha, Petar...
SCL
2010
124views more  SCL 2010»
13 years 7 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
CDC
2008
IEEE
152views Control Systems» more  CDC 2008»
14 years 3 months ago
Non-uniform small-gain theorems for systems with unstable invariant sets
— We consider the problem of small-gain analysis of asymptotic behavior in interconnected nonlinear dynamic systems. Mathematical models of these systems are allowed to be uncert...
Ivan Tyukin, Erik Steur, Henk Nijmeijer, Cees van ...
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 3 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