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Feedback stabilization for a class of second order singular distributed parameter system in Hilbert space

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Abstract

Feedback stabilization for a class of second order singular distributed parameter system with multi-inputs is discussed via functional analysis and operator theory in Hilbert space, the solutions of the problem and the constructive expressions of the solutions are given by the generalized inverse of bounded linear operator. This research is theoretically important for studying the stability of the singular distributed parameter system.

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Correspondence to Feng Liu.

Additional information

Supported by the National Natural Science Foundation of China (No. 60674018) and the Natural Sciences Research Foundation of the Education Department of Jiangsu Province in China (No.08KJD510003)

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Liu, F., Shi, Gd. & Ge, Zq. Feedback stabilization for a class of second order singular distributed parameter system in Hilbert space. Acta Math. Appl. Sin. Engl. Ser. 31, 89–100 (2015). https://doi.org/10.1007/s10255-015-0453-9

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  • DOI: https://doi.org/10.1007/s10255-015-0453-9

Keywords

2000 MR Subject Classification

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