On Asymptotic Stability of Homogeneous Singular Systems with Switching


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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.

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A. Kosov

Matrosov Institute for System Dynamics and Control Theory, Siberian Branch

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Email: kosov_idstu@mail.ru
俄罗斯联邦, Irkutsk

M. Kozlov

Ogarev Mordovia State University

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Email: kozlov.mvl@yandex.ru
俄罗斯联邦, Saransk

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