Differentiable families of planar bimodal linear control systems
type: Item
instance of: scholarly article
title: Differentiable families of planar bimodal linear control systems
zbMATH Open document ID: 1407.93331
DOI: 10.1155/2014/292813
author: Josep Ferrer
author: M. Dolors Magret
author: Marta Peña
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 7016097
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/292813
OpenAlex ID: W2075372712
Wikidata QID: Q59065541
cites work: Hybrid Systems: Computation and Control
cites work: A full characterization of stabilizability of bimodal piecewise linear systems with scalar inputs
cites work: Stability of switched positive linear systems with average dwell time switching
cites work: NONHYPERBOLIC BOUNDARY EQUILIBRIUM BIFURCATIONS IN PLANAR FILIPPOV SYSTEMS: A CASE STUDY APPROACH
cites work: The continuous matching of two stable linear systems can be unstable
cites work: On simplifying and classifying piecewise-linear systems
cites work: Q3705318
cites work: Geometric state-space theory in linear multivariable control: A status report
cites work: Planar bimodal piecewise linear systems. Bifurcation diagrams
cites work: ON MATRICES DEPENDING ON PARAMETERS
cites work: Q3924381
cites work: Invariance and system theory: algebraic and geometric aspects
cites work: BIMODAL PIECEWISE LINEAR DYNAMICAL SYSTEMS: REDUCED FORMS
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description: scientific article; zbMATH DE number 7016097