Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 62, Issue 7, Pages 3618-3625Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2669580
Keywords
Impulsive delay inequality; stability; stabilization; unbounded time-varying delay
Funding
- National Natural Science Foundation of China [61673247, 61573096, 61272530]
- 333 Engineering Foundation of Jiangsu Province of China [BRA2015286]
- China PSFF [2014M561956, 2015T80737]
- Research Fund for Excellent Youth Scholars of Shandong Province [ZR2016JL024]
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In this paper, a new impulsive delay inequality that involves unbounded and nondifferentiable time-varying delay is presented. As an application, some sufficient conditions ensuring stability and stabilization of impulsive systems with unbounded time-varying delay are derived. Some numerical examples are given to illustrate the results. Especially, a stabilizing memoryless controller for a second-order time-varying system with unbounded time-varying delay is proposed.
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