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Differentiable Families of Planar Bimodal Linear Control Systems

Josep Ferrer, M. Dolors Magret and Marta Peña

Mathematical Problems in Engineering, 2014, vol. 2014, 1-9

Abstract:

We consider bimodal linear control systems consisting of two subsystems acting on each side of a given hyperplane, assuming continuity along it. For a differentiable family of planar bimodal linear control systems, we obtain its stratification diagram and, if controllability holds for each value of the parameters, we construct a differentiable family of feedbacks which stabilizes both subsystems for each value of the parameters.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:292813

DOI: 10.1155/2014/292813

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