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Differentiable Families of Planar Bimodal Linear Control Systems
Author(s) -
Josep Ferrer,
M. Dolors Magret,
Marta Peña
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/292813
Subject(s) - controllability , differentiable function , hyperplane , planar , mathematics , linear control systems , linear system , construct (python library) , pure mathematics , stratification (seeds) , control theory (sociology) , control (management) , mathematical analysis , computer science , combinatorics , seed dormancy , botany , computer graphics (images) , germination , artificial intelligence , dormancy , biology , programming language
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 stratificationdiagram and, if controllability holds for each value of the parameters, we construct a differentiable family of feedbacks whichstabilizes both subsystems for each value of the parameters

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