On the small-time controllability of discontinuous piece-wise linear systems

Abstract : This note presents a necessary and sufficient condition for small time controllability of a specific class of piece-wise linear systems. These systems are linear in four areas determined in the state space by two hyperplanes with a nonempty intersection. On the hyperplanes the systems appear to be discontinuous. Our main result extends the classical Kalman criterion for controllability to the case of piece-wise linear control systems with controls taking values in closed convex cones.
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Systems and Control Letters, Elsevier, 2013, 62 (2), pp.218-223. 〈10.1016/j.sysconle.2012.11.006〉
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Soumis le : mardi 10 décembre 2013 - 14:33:59
Dernière modification le : jeudi 11 janvier 2018 - 06:16:45

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Mihail Ivanov Krastanov, Marc Quincampoix. On the small-time controllability of discontinuous piece-wise linear systems. Systems and Control Letters, Elsevier, 2013, 62 (2), pp.218-223. 〈10.1016/j.sysconle.2012.11.006〉. 〈hal-00916584〉

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