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Approximate and Approximate Null-Controllability of a Class of Piecewise Linear Markov Switch Systems
Abstract : We propose an explicit, easily-computable algebraic criterion for approximate null-controllability of a class of general piecewise linear switch systems with multiplicative noise. This gives an answer to the general problem left open in [13]. The proof relies on recent results in [4] allowing to reduce the dual stochastic backward system to a family of ordinary differential equations. Second, we prove by examples that the notion of approximate controllability is strictly stronger than approximate null-controllability. A sufficient criterion for this stronger notion is also provided. The results are illustrated on a model derived from repressed bacterium operon (given in [19] and reduced in [5]).
Cited literature [23 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-01266268
Contributor : Dan Goreac Connect in order to contact the contributor
Submitted on : Tuesday, September 6, 2016 - 11:35:38 AM
Last modification on : Tuesday, December 8, 2020 - 10:08:21 AM
Long-term archiving on: : Wednesday, December 7, 2016 - 12:12:54 PM
Contributor : Dan Goreac Connect in order to contact the contributor
Submitted on : Tuesday, September 6, 2016 - 11:35:38 AM
Last modification on : Tuesday, December 8, 2020 - 10:08:21 AM
Long-term archiving on: : Wednesday, December 7, 2016 - 12:12:54 PM
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