Email this article ON STABILIZATION OF DIFFERENTIAL SYSTEMS WITH HYBRID FEEDBACK CONTROL
- Authors: Alves M.S.1, Alves M.J.1
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Affiliations:
- Eduardo Mondlane University
- Issue: Vol 23, No 123 (2018)
- Pages: 331-352
- Section: Articles
- URL: https://ogarev-online.ru/2686-9667/article/view/297238
- DOI: https://doi.org/10.20310/1810-0198-2018-23-123-331-352
- ID: 297238
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Abstract
In this paper two-dimensional systems of differential equations are considered together with their stabilization by a hybrid feedback control. A stabilizing hybrid control for an arbitrary controlled system that belongs to a certain category within two-dimensional systems is constructed as a result of this study and some stabilization proprieties of the system with the obtained hybrid control are presented.
Full Text
We will use the following notations: C(Rn) is the set of all continuous functions u : [0,∞) → Rn, Cs(Rn) is the set of all piecewise continuous functions such that u : [0,∞) → Rn, the euclidean norm | · | in the space Rn will be denoted by |x|, the set of all matrices with real entries of dimension m × n we denote by M(m, n,R), L(Rn,Rm) is the set of all linear operators from Rn to Rm and σ(A) is the set of all eigenvalues of a square matrix A, called the spectrum of A.×
About the authors
Maria Salom´e Manuelevna Alves
Eduardo Mondlane University
Email: m4ria.alvess@gmail.com
Assistant Lecturer PO. Box 257, Main Campus, Maputo, Mozambique
Manuel Joaquim Alves
Eduardo Mondlane University
Email: mjalves.moz@gmail.com
PhD in Mathematics, Full Professor PO. Box 257, Main Campus, Maputo, Mozambique
References
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