Algebraic Necessary and Sufficient Conditions for the Controllability of Conewise Linear SystemsCamlibel, M. K., Heemels, W. P. M. H. M. & Schumacher, J. M. H., Apr-2008, In : IEEE Transactions on Automatic Control. 53, 3, p. 762-774 13 p.
Research output: Contribution to journal › Article › Academic › peer-review
The problem of checking certain controllability properties of even very simple piecewise linear systems is known to be undecidable. This paper focuses on conewise linear systems, i.e., systems for which the state space is partitioned into conical regions and a linear dynamics is active on each of these regions. For this class of systems, we present algebraic necessary and sufficient conditions for controllability. We also show that the classical results of controllability of linear systems and input-constrained linear systems can be recovered fromour main result. Our treatment employs tools both from geometric control theory and mathematical programming.
|Number of pages||13|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - Apr-2008|
- conewise linear systems, controllability, hybrid systems, piecewise linear systems, push-pull systems, reachability, COMPLEMENTARITY SYSTEMS, HYBRID SYSTEMS, OBSERVABILITY, NETWORKS
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