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» A symbolic approach to controlling piecewise affine systems
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HYBRID
2007
Springer
15 years 1 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...
101
Voted
HYBRID
2010
Springer
14 years 11 months ago
On infinity norms as Lyapunov functions for piecewise affine systems
This paper considers off-line synthesis of stabilizing static feedback control laws for discrete-time piecewise affine (PWA) systems. Two of the problems of interest within this f...
Mircea Lazar, Andrej Jokic
78
Voted
CDC
2009
IEEE
132views Control Systems» more  CDC 2009»
14 years 7 months ago
Temporal logic control of discrete-time piecewise affine systems
Abstract-- We consider the problem of controlling a discretetime piecewise affine (PWA) system from a specification given as a Linear Temporal Logic (LTL) formula over linear predi...
Boyan Yordanov, Calin Belta
AUTOMATICA
2008
75views more  AUTOMATICA 2008»
14 years 9 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
CDC
2009
IEEE
173views Control Systems» more  CDC 2009»
15 years 1 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...