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Russia Izhevsk
Section Mathematics
Title Global asymptotic stabilization of bilinear control systems with periodic coefficients
Author(-s) Zaitsev V.A.a
Affiliations Udmurt State Universitya
Abstract Sufficient conditions for uniform global asymptotic stabilization of the origin are obtained for bilinear control systems with periodic coefficients. The proof is based on the use of the Krasovsky theorem on global asymptotic stability of the origin for periodic systems. The stabilizing control function is feedback control constructed as the quadratic form of the phase variables and depends on time periodically.
Keywords global asymptotic stability, stabilization, Lyapunov function, bilinear systems, periodic systems
UDC 517.977, 517.925.51
MSC 34D23, 34H15, 93D15
DOI 10.20537/vm120202
Received 25 March 2012
Language English
Citation Zaitsev V.A. Global asymptotic stabilization of bilinear control systems with periodic coefficients, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012, issue 2, pp. 17-27.
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