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HYBRID
2007
Springer
13 years 8 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
AUTOMATICA
2008
78views more  AUTOMATICA 2008»
13 years 4 months ago
A mathematical framework for the control of piecewise-affine models of gene networks
This article introduces results on the control of gene networks, in the context of piecewise-affine models. We propose an extension of this well-documented class of models, where ...
Etienne Farcot, Jean-Luc Gouzé
CDC
2010
IEEE
144views Control Systems» more  CDC 2010»
12 years 11 months ago
Formal analysis of piecewise affine systems through formula-guided refinement
Abstract-- We present a computational framework for identifying a set of initial states from which all trajectories of a piecewise affine (PWA) system satisfy a Linear Temporal Log...
Boyan Yordanov, Jana Tumova, Calin Belta, Ivana Ce...
CDC
2010
IEEE
129views Control Systems» more  CDC 2010»
12 years 11 months ago
A symbolic approach to controlling piecewise affine systems
Abstract-- We present a computational framework for automatic synthesis of a feedback control strategy for a piecewise affine (PWA) system from a specification given as a Linear Te...
Jana Tumova, Boyan Yordanov, Calin Belta, Ivana Ce...
HYBRID
2007
Springer
13 years 8 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...