Limit Cycles Investigation for a Class of Nonlinear Systems via Differential and Integral Inequalities
Journal: International Journal of Trend in Scientific Research and Development (Vol.2, No. 1)Publication Date: 2018-07-31
Authors : Yeong-Jeu Sun;
Page : 698-702
Keywords : Applied Mathamatics; Limit cycle; nonlinear systems; stable limit cycles; exponential convergence rate.;
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. Yeong-Jeu Sun"Limit Cycles Investigation for a Class of Nonlinear Systems via Differential and Integral Inequalities" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-1 , December 2017, URL: http://www.ijtsrd.com/papers/ijtsrd7049.pdf http://www.ijtsrd.com/mathemetics/applied-mathamatics/7049/limit-cycles-investigation-for-a-class-of-nonlinear-systems-via-differential-and-integral-inequalities/yeong-jeu-sun
Other Latest Articles
- Mechanical ventilation during anesthesia: Strategies for the protection of the lung Part I: Mechanisms of lung injury
- A Review on Experimental Analysis of Double Pass Solar Air Heater With Baffled Absorber Plate
- Consumers Awareness, Attitude and Preference towards Patanjali Retail Products
- Analgesia and Sedation in pediatric intensive care unit
- A Survey on Different Posture Adopted by the Food Production Staff at Work
Last modified: 2018-07-31 17:29:55