Algebraic Invariance Conditions in the Study of Approximate (Null-)Controllability of Markov Switch Processes - Archive ouverte HAL Access content directly
Journal Articles Mathematics of Control, Signals, and Systems Year : 2015

Algebraic Invariance Conditions in the Study of Approximate (Null-)Controllability of Markov Switch Processes

Dan Goreac
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Abstract

We aim at studying approximate null-controllability properties of a particular class of piecewise linear Markov processes (Markovian switch systems). The criteria are given in terms of algebraic invariance and are easily computable. We propose several necessary conditions and a sufficient one. The hierarchy between these conditions is studied via suitable counterexamples. Equivalence criteria are given in abstract form for general dynamics and algebraic form for systems with constant coefficients or continuous switching. The problem is motivated by the study of lysis phenomena in biological organisms and price prediction on spike-driven commodities.
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Dates and versions

hal-01061543 , version 1 (07-09-2014)
hal-01061543 , version 2 (08-06-2015)

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Dan Goreac, Miguel Martinez. Algebraic Invariance Conditions in the Study of Approximate (Null-)Controllability of Markov Switch Processes. Mathematics of Control, Signals, and Systems, 2015, 27 (4), pp.551--578. ⟨10.1007/s00498-015-0146-1⟩. ⟨hal-01061543v2⟩
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