Limit cycles investigation for a class of nonlinear systems via differential and integral inequalities

Volume 3, Issue 1, February 2018     |     PP. 1-11      |     PDF (195 K)    |     Pub. Date: December 30, 2017
DOI:    460 Downloads     7948 Views  

Author(s)

Yeong-Jeu Sun, Department of Electrical Engineering, I-Shou University,Kaohsiung, Taiwan 840, R.O.C.

Abstract
In this paper, the existence of limit cycles for a class of nonlinear systems is explored. Based on the time-domain approach with differential and integral inequalities, the phenomenon of the stable limit cycle can be accurately verified for such nonlinear systems. Furthermore, the exponentially stable limit cycles, frequency of oscillation, and guaranteed convergence rate can be correctly calculated. Finally, some numerical simulations are provided to demonstrate the feasibility and effectiveness of the main results.

Keywords
Limit cycle, nonlinear systems, stable limit cycles, exponential convergence rate.

Cite this paper
Yeong-Jeu Sun, Limit cycles investigation for a class of nonlinear systems via differential and integral inequalities , SCIREA Journal of Mathematics. Volume 3, Issue 1, February 2018 | PP. 1-11.

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