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HYBRID
2007
Springer
11 years 10 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»
11 years 6 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»
11 years 1 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»
11 years 1 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
11 years 10 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...
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