The estimation of the dynamics of indirect control switching systems

Miroslava Růžičková; Olena Kuzmych; Denys Ya. Khusainov

doi:10.2478/v10127-011-0018-0

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The estimation of the dynamics of indirect control switching systems

Tatra Mountains Mathematical Publications

Volume 48 (2011): Issue 1 (April 2011)

By: Miroslava Růžičková, Olena Kuzmych and Denys Ya. Khusainov

Open Access

|Nov 2012

Abstract

The paper deals with the time switching hybrid systems described by nonlinear control equations with nonlinearity of a sector form. The estimation of the solution of the control system at any moment is established through the method of Lyapunov function. Both cases, stable and unstable control systems are considered. The final estimation of the solution of the hybrid system is obtained from the composition of perturbations of the separate control systems using the condition of solution continuity in the points of switching.

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-011-0018-0 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 197 - 213

Published on: Nov 13, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

. nonlinear differential equation,

estimation of solution,

hybrid system.

Related subjects:

Mathematics,

General mathematics

© 2012 Miroslava Růžičková, Olena Kuzmych, Denys Ya. Khusainov, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 48 (2011): Issue 1 (April 2011)