Existence and Uniqueness of the Exponentially Stable Limit Cycle for a Class of Nonlinear Systems via Time-Domain Approach with Differential Inequality | Zendy

YeongJeu Sun | Zendy; Yu-Biaw Wu | Zendy; ChingCheng Wang | Zendy

Open Access

Existence and Uniqueness of the Exponentially Stable Limit Cycle for a Class of Nonlinear Systems via Time-Domain Approach with Differential Inequality

Author(s) -

YeongJeu Sun,

Yu-Biaw Wu,

ChingCheng Wang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/712932

Subject(s) - uniqueness , mathematics , limit cycle , nonlinear system , oscillation (cell signaling) , limit (mathematics) , class (philosophy) , convergence (economics) , domain (mathematical analysis) , exponential growth , mathematical analysis , control theory (sociology) , computer science , physics , control (management) , quantum mechanics , artificial intelligence , biology , economics , genetics , economic growth

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

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