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» Optimal control of sampled-data piecewise affine systems
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AUTOMATICA
2004
94views more  AUTOMATICA 2004»
13 years 7 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 10 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 11 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 11 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 7 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