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EXISTENCE OF QUADRATIC TYPE LIAPUNOV FUNCTIONS FOR A CLASS OF NONLINEAR SYSTEMS

机译：一类非线性系统的二次型LIapUNOV函数的存在性

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The report deals with the construction of liapunoy functions for nonlinear systems related to the lur'e probiem. The method presented consists in developing a quadratic type Liapunov function - called a spanning Liapunov function (SLF) - for an associated linear system, and modifying it suitably for the nonlinear case. Using this approach, a theorem of Popov [3] , for the Lurie problem is derived and is extended to the case with "m" nonlinearities . Conditions for the existence of a Liapunov function of this form for the case of a gain in the Lure problem are derived. The results are used to construct Liapunov functions for certain specific systems.

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Kumpati S. Narendra; Roger M. Goldwyn;
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年度 1963
页码 1-38
总页数 38
原文格式 PDF
正文语种 eng
中图分类工业技术;
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EXISTENCE OF QUADRATIC TYPE LIAPUNOV FUNCTIONS FOR A CLASS OF NONLINEAR SYSTEMS

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