{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:08:38Z","timestamp":1740103718062,"version":"3.37.3"},"reference-count":27,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,10,27]],"date-time":"2020-10-27T00:00:00Z","timestamp":1603756800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["NSFC11701533","CUGGC05"],"award-info":[{"award-number":["NSFC11701533","CUGGC05"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["NSFC11701533","CUGGC05"],"award-info":[{"award-number":["NSFC11701533","CUGGC05"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100015314","name":"China University of Geosciences","doi-asserted-by":"publisher","award":["NSFC11701533","CUGGC05"],"award-info":[{"award-number":["NSFC11701533","CUGGC05"]}],"id":[{"id":"10.13039\/501100015314","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,10,27]]},"abstract":"<jats:p>In this paper, we introduce finite-time Lyapunov functions for impulsive systems. The relaxed sufficient conditions for asymptotic stability of an equilibrium of an impulsive system are given via finite-time Lyapunov functions. A converse finite-time Lyapunov theorem for controlling the impulsive system is proposed. Three examples are presented to show how to analyze the stability of an equilibrium of the considered impulsive system via finite-time Lyapunov functions. Furthermore, according to the results, we design an impulsive controller for a chaotic system modified from the Lorenz system.<\/jats:p>","DOI":"10.1155\/2020\/5179752","type":"journal-article","created":{"date-parts":[[2020,10,28]],"date-time":"2020-10-28T02:35:14Z","timestamp":1603852514000},"page":"1-9","source":"Crossref","is-referenced-by-count":1,"title":["Finite-Time Lyapunov Functions and Impulsive Control Design"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1778-2905","authenticated-orcid":true,"given":"Huijuan","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China"}]},{"given":"Qingxia","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China"}]}],"member":"311","reference":[{"volume-title":"System with Impulse Effects: Stability, Theory and Applications","year":"1989","author":"D. 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