Interconnected automata and linear systems: a theoretical framework in discrete-time
Proceedings of the DIMACS/SYCON workshop on Hybrid systems III : verification and control: verification and control
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Survey paper: Set invariance in control
Automatica (Journal of IFAC)
Control of systems integrating logic, dynamics, and constraints
Automatica (Journal of IFAC)
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The paper studies reachability problems of autonomous affine systems in polytopes. Our goal is to find in a given polytope both the largest positive invariant set and backward reachable sets (or attraction domains) of facets. Special attention is paid to the stable invariant affine subspace. After presenting several useful properties of these sets, a partition procedure is given so that the polytope is divided into a positive invariant set and several backward reachable sets.