Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 355, Issue 14, Pages 6469-6492Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2018.05.063
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Funding
- National Natural Science Foundation of China [61773237, 61374004, 61203013]
- China Postdoctoral Science Foundation [2017M610414]
- Shandong Province Quality Core Curriculum of Postgraduate Education [SDYKC17079]
- Zhejiang Provincial Natural Science Foundation [LY16E050003]
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This paper addresses the state-feedback stabilization problem for a class of high-order uncertain nonlinear systems with multiple time-delays. The distinguished feature of the systems to be investigated is the serious coexistence between unknown time-varying parameters and unknown multiple time-delays. Time-varying method combined with adaptive technique is used to capture the possible unknowns and delayed states. The new control strategy is presented based on homogeneous domination idea and the choice of a Lyapunov-Krasovskii functional. Finally, the developed scheme is used to stabilize mass-spring mechanical system with unknown time-delays. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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