Titlebook: Optimal Control of Constrained Piecewise Affine Systems; Frank J. Christophersen Book 2007 Springer-Verlag Berlin Heidelberg 2007 Approxim

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https://doi.org/10.1007/978-3-540-72701-9Approximation; Constrained Systems; Dynamic Programming; Hybrid Systems; Multi-parametric Programming; No

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Systems and Control TheoryIn this chapter some basic systems theoretical definitions and theorems are provided, which are used throughout the text.

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Piecewise Affine Systems or . (PWA) [Son81, HDB01] for short are defined by partitioning the extended state-input space into polyhedral regions and associating with each region a different affine state update equation.

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978-3-540-72700-2Springer-Verlag Berlin Heidelberg 2007

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Receding Horizon Controlstems in practice and numerous theoretical as well as application oriented publications are available. To name a few: in the area of textbooks there are [Mac02, GSD05, Ros03, KC01, CB04] as well as the survey papers [MRRS00, May01b, BM99b, GPM89, QB97, Raw00, ML99]. The reader is referred to [Mac02,

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