Algorithms for Symbolic/Numeric Control of Affine Dynamical Systems *

Abstract : We consider a general linear dynamical system and want to control its behavior. The goal is to reach a given target by minimizing a cost function. We provide a new generic algorithm with together exact, symbolic and numerical modules. In particular new efficient methods computing a block Kalman canonical exact decomposition and the optimal solutions are presented. We also propose a new numerical algorithm under-approximating the controllable domain in view of its analytical resolution in the context of singular sub-arcs.
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Jean-Guillaume Dumas, Aude Rondepierre. Algorithms for Symbolic/Numeric Control of Affine Dynamical Systems *. International Symposium on Symbolic and Algebraic Computation (ISSAC), Jul 2005, Beijing, China. ⟨10.1145/1073884.1073923⟩. ⟨hal-01807149⟩

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