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On conditions for regularity of solutions for a piecewise linear system
Affiliation:1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, PR China;2. School of Science, Lanzhou University of Technology, Lanzhou, PR China;1. Graduate School of System Informatics, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe-shi, Hyogo 657-8501, Japan;2. Department of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan;1. Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, PR China;2. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario N2L 3C5, Canada
Abstract:We study a piecewise linear system approximating the behaviour of a switched DC/DC converter. We give conditions for a unique limit cycle in our different cases and give examples of complicated phenomena that might occur. The stability of a state space trajectory controlled converter is addressed.
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