4.7 Review

Some perspectives on the analysis and control of complementarity systems

Journal

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 48, Issue 6, Pages 918-935

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2003.812777

Keywords

complementarity; control; convex analysis; hybrid dynamics; measure differential inclusions; mechanical systems; nonsmooth; stability

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This paper is devoted to presenting controllability and stabilizability issues associated to a class of nonsmooth dynamical systems, namely complementarity dynamical systems. The main existing results are summarized, and some possible research directions are provided. Convex analysis and complementarity problems are claimed to be the main analysis tools for control related studies. This paper mainly focuses on mechanical applications.

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