Email this article On Asymptotic Stability of Homogeneous Singular Systems with Switching
- Authors: Kosov A.A.1, Kozlov M.V.2
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Affiliations:
- Matrosov Institute for System Dynamics and Control Theory, Siberian Branch
- Ogarev Mordovia State University
- Issue: Vol 80, No 3 (2019)
- Pages: 429-436
- Section: Nonlinear Systems
- URL: https://journals.rcsi.science/0005-1179/article/view/151315
- DOI: https://doi.org/10.1134/S0005117919030032
- ID: 151315
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Abstract
This paper considers the stability of singular switched systems with homogeneous functions in the right-hand sides of the corresponding equations. Stability conditions of the complete system with an arbitrary switching mode are established through its decomposition into the isolated subsystems of fast and slow motions. A stabilizing feedback control design method based on measurements of the fast variables only is suggested.
About the authors
A. A. Kosov
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch
Author for correspondence.
Email: kosov_idstu@mail.ru
Russian Federation, Irkutsk
M. V. Kozlov
Ogarev Mordovia State University
Author for correspondence.
Email: kozlov.mvl@yandex.ru
Russian Federation, Saransk
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