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Control of asynchronous spectrum of linear systems with a two-sided dependence of blocks of complete column rank

Control of asynchronous spectrum of linear systems with a two-sided dependence of blocks of... We consider a linear periodic control system with a two-sided dependence of blocks of complete column rank in the nonstationary component of the coefficient matrix in the critical case. In this case, the nontrivial intersection of vector subspaces formed by linear spans of the columns in the blocks can be arbitrary. We assume that the control is given in the form of feedback linear in the state variables and is periodic with the period of the system. We derive necessary and sufficient conditions for the solvability of the control problem for the asynchronous spectrum, that is, the problem of finding a feedback coefficient such that the closed system has a strongly irregular periodic solution with the desired frequencies. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Control of asynchronous spectrum of linear systems with a two-sided dependence of blocks of complete column rank

Differential Equations , Volume 50 (4) – May 11, 2014

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266114040028
Publisher site
See Article on Publisher Site

Abstract

We consider a linear periodic control system with a two-sided dependence of blocks of complete column rank in the nonstationary component of the coefficient matrix in the critical case. In this case, the nontrivial intersection of vector subspaces formed by linear spans of the columns in the blocks can be arbitrary. We assume that the control is given in the form of feedback linear in the state variables and is periodic with the period of the system. We derive necessary and sufficient conditions for the solvability of the control problem for the asynchronous spectrum, that is, the problem of finding a feedback coefficient such that the closed system has a strongly irregular periodic solution with the desired frequencies.

Journal

Differential EquationsSpringer Journals

Published: May 11, 2014

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