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» Optimal control of sampled-data piecewise affine systems
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AUTOMATICA
2004
94views more  AUTOMATICA 2004»
13 years 4 months ago
Optimal control of sampled-data piecewise affine systems
This paper addresses the optimal control problem of the continuous-time piecewise affine (PWA) systems with autonomous switching executed at each sampling time, which we call sampl...
Jun-ichi Imura
HYBRID
2000
Springer
13 years 8 months ago
Optimization-Based Verification and Stability Characterization of Piecewise Affine and Hybrid Systems
In this paper, we formulate the problem of characterizing the stability of a piecewise affine (PWA) system as a verification problem. The basic idea is to take the whole Rn as the ...
Alberto Bemporad, Fabio Danilo Torrisi, Manfred Mo...
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
CDC
2009
IEEE
173views Control Systems» more  CDC 2009»
13 years 8 months ago
Optimality of affine policies in multi-stage robust optimization
In this paper, we show the optimality of a certain class of disturbance-affine control policies in the context of one-dimensional, constrained, multi-stage robust optimization. Ou...
Dimitris Bertsimas, Dan Andrei Iancu, Pablo A. Par...
AUTOMATICA
2008
75views more  AUTOMATICA 2008»
13 years 4 months ago
Optimal complexity reduction of polyhedral piecewise affine systems
This paper focuses on the NP-hard problem of reducing the complexity of piecewise polyhedral systems (e.g. polyhedral piecewise affine (PWA) systems). The results are fourfold. Fi...
Tobias Geyer, Fabio Danilo Torrisi, Manfred Morari