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Section
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Mathematics
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Title
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Global asymptotic stabilization of bilinear control systems with periodic coefficients
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Author(-s)
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Zaitsev V.A.a
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Affiliations
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Udmurt State Universitya
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Abstract
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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.
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Keywords
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global asymptotic stability, stabilization, Lyapunov function, bilinear systems, periodic systems
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UDC
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517.977, 517.925.51
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MSC
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34D23, 34H15, 93D15
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DOI
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10.20537/vm120202
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Received
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25 March 2012
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Language
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English
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Citation
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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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References
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Full text
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