Exponential stability of nonlinear systems via event-triggered impulsive control based on partial states

Mingyue Li, Mingzhu Wang, Wenlu Liu, Shuchen Wu and Xiaodi Li

Applied Mathematics and Computation, 2023, vol. 459, issue C

Abstract: In the framework of partial unknown states, this paper studies the exponential stability problem of nonlinear systems. A novel event-triggered mechanism (ETM) just involving partial known states is designed to guarantee the exponential stability of considered system, where forced impulse with great freedom degree is introduced in ETM. What's more, the information of known states of the system is fetched and applied to supplement the unknown part at impulse instants. With the help of matrix analysis technique, some linear matrix inequalities (LMI) based sufficient conditions are presented from the perspective of the quantity of known and unknown states. Besides, our proposed conditions establish the relationship of event-triggered parameters, impulse interval, and impulse strength. Finally, expository examples and their numerical modeling are appeared to prove the availability of main results.

Keywords: Event-triggered impulsive control; Exponential stability; Unknown states; Nonlinear systems (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:459:y:2023:i:c:s0096300323004435

DOI: 10.1016/j.amc.2023.128274

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