Abstract
AbstractIn this paper, we propose a new system called an alternate control system with double impulses. The present system is a cyclic control system, composed of four parts in a circle: to the first and last halves of each period of the system we add different continuous controls, and at the half-period time and the end of each period of the system we add different impulses. We then investigate the exponential stability of the considered system. An example based on Chua’s circuit is provided to confirm the effectiveness of the theoretical result.
Funder
Fund for Fostering Talents in Kunming University of Science and Technology
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference16 articles.
1. He, S., Song, J., Liu, F.: Robust finite-time bounded controller design of time-delay conic nonlinear systems using sliding mode control strategy. IEEE Trans. Syst. Man Cybern. 48, 1863–1873 (2018)
2. Pan, Y., Yang, G.: A novel event-based fuzzy control approach for continuous-time fuzzy systems. Neurocomputing 338, 55–62 (2019)
3. Cardinali, T., Rubbioni, P.: The controllability of an impulsive integro-differential process with nonlocal feedback controls. Appl. Math. Comput. 347, 29–39 (2019)
4. He, W., Meng, T.: Adaptive control of a flexible string system with input hysteresis. IEEE Trans. Control Syst. Technol. 26, 693–700 (2018)
5. Feng, Y., Li, C., Huang, T., Zhao, W.: Alternate control systems. Adv. Differ. Equ. 2014, Article ID 305 (2014)