PROPERTIES OF STORAGE FUNCTIONS AND APPLICATIONS TO NONLINEAR STOCHASTIC H∞} CONTROL

Qixia ZHANG, Weihai ZHANG

Journal of Systems Science & Complexity ›› 2011, Vol. 24 ›› Issue (5) : 850-861.

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Journal of Systems Science & Complexity ›› 2011, Vol. 24 ›› Issue (5) : 850-861. DOI: 10.1007/s11424-011-9117-x
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PROPERTIES OF STORAGE FUNCTIONS AND APPLICATIONS TO NONLINEAR STOCHASTIC H∞} CONTROL

  • Qixia ZHANG 1, Weihai ZHANG 2
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Abstract

This paper discusses the properties of the storage functions for a class of nonlinear stochastic systems. Some  necessary  and sufficient conditions for a function to be a storage function are derived.  As applications, the finite and infinite horizon nonlinear stochastic H∞ controls for systems with state, control, and external disturbance dependent noise are investigated, which generalize the previous results.

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Qixia ZHANG , Weihai ZHANG. PROPERTIES OF STORAGE FUNCTIONS AND APPLICATIONS TO NONLINEAR STOCHASTIC H∞} CONTROL. Journal of Systems Science and Complexity, 2011, 24(5): 850-861 https://doi.org/10.1007/s11424-011-9117-x

Funding

This research is supported by the National Natural Science Foundation of China under Grant Nos. 10921101 and 60874032, the National Basic Research Program of China (973 Program)  under Grant No. 2007CB814904, the Key Project of Natural Science Foundation of Shandong Province under Grant No. ZR2009GZ001, and the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20103718110006.

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