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Control Synthesis for Permutation-Symmetric High-Dimensional Systems With Counting Constraints

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General-purpose correct-by-construction synthesis methods are limited to systems with low dimensionality or simple specifications. In this paper, we consider highly symmetrical counting problems and exploit the symmetry to synthesize provably… Click to show full abstract

General-purpose correct-by-construction synthesis methods are limited to systems with low dimensionality or simple specifications. In this paper, we consider highly symmetrical counting problems and exploit the symmetry to synthesize provably correct controllers for systems with tens of thousands of states. The key ingredients of the solution are an aggregate abstraction procedure for mildly heterogeneous systems and a formulation of counting constraints as linear inequalities.

Keywords: counting constraints; control synthesis; synthesis; synthesis permutation; permutation symmetric

Journal Title: IEEE Transactions on Automatic Control
Year Published: 2020

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