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Existence and uniqueness of the exponentially stable limit cycle for a class of nonlinear systems via time-domain approach with differential inequality
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نویسنده
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sun y.-j. ,wu y.-b. ,wang c.-c.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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The concept of the exponentially stable limit cycle (eslc) is introduced,and the eslc phenomenon for a class of nonlinear systems is explored. based on time-domain approach with differential inequality,the existence and uniqueness of the eslc for such nonlinear systems can be guaranteed. besides,the period of oscillation,the amplitude of oscillation,and guaranteed convergence rate can be accurately estimated. finally,two numerical simulations are provided to illustrate the feasibility and effectiveness of the obtained result. © 2013 yeong-jeu sun et al.
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آدرس
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department of electrical engineering,i-shou university,no.1,syuecheng road,dashu district, Taiwan, institute of manufacturing information and systems,national cheng kung university, Taiwan, institute of manufacturing information and systems,national cheng kung university, Taiwan
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Authors
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