PMID- 24388770 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20141021 LR - 20140303 IS - 1879-2022 (Electronic) IS - 0019-0578 (Linking) VI - 53 IP - 2 DP - 2014 Mar TI - Control design for one-sided Lipschitz nonlinear differential inclusions. PG - 298-304 LID - S0019-0578(13)00215-2 [pii] LID - 10.1016/j.isatra.2013.12.005 [doi] AB - This paper considers stabilization and signal tracking control for one-sided Lipschitz nonlinear differential inclusions (NDIs). Sufficient conditions for exponential stabilization for the closed-loop system are given based on linear matrix inequality theory. Further, the design method is extended to signal tracking control for one-sided Lipschitz NDIs. A control law is designed such that the state of the closed-loop system asymptotically tracks the reference signal. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique. CI - Copyright (c) 2013 ISA. Published by Elsevier Ltd. All rights reserved. FAU - Cai, Xiushan AU - Cai X AD - College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China. Electronic address: xiushancai@163.com. FAU - Gao, Hong AU - Gao H AD - College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua 321004, China. FAU - Liu, Leipo AU - Liu L AD - College of Electric and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China. FAU - Zhang, Wei AU - Zhang W AD - Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai 201620, China. LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20140101 PL - United States TA - ISA Trans JT - ISA transactions JID - 0374750 OTO - NOTNLM OT - Exponential stabilization OT - Linear matrix inequalities OT - Nonlinear differential inclusions OT - One-sided Lipschitz EDAT- 2014/01/07 06:00 MHDA- 2014/01/07 06:01 CRDT- 2014/01/07 06:00 PHST- 2012/05/31 00:00 [received] PHST- 2013/10/07 00:00 [revised] PHST- 2013/12/03 00:00 [accepted] PHST- 2014/01/07 06:00 [entrez] PHST- 2014/01/07 06:00 [pubmed] PHST- 2014/01/07 06:01 [medline] AID - S0019-0578(13)00215-2 [pii] AID - 10.1016/j.isatra.2013.12.005 [doi] PST - ppublish SO - ISA Trans. 2014 Mar;53(2):298-304. doi: 10.1016/j.isatra.2013.12.005. Epub 2014 Jan 1.