Least-Element Time-Stepping Methods for Simulation of Linear Networks with Ideal Switches

Shuhuang Xiang, Xiaojun Chen, Yang Zhou

Research output: Journal article publicationJournal articleAcademic researchpeer-review


Linear networks with ideal switches have various applications in power converters, signal processing and control problems, which can be modeled by linear complementarity systems (LCSs). This paper presents new results on the least-element time-stepping method for simulation of linear networks with ideal switches for a class of LCSs. The method is efficient and stable and can be easily implemented. The convergence results and preliminary numerical results show that the least-element time-stepping method is efficient for verifying accuracy of approximate solutions.

Original languageEnglish
Pages (from-to)1432-1451
Number of pages20
JournalCircuits, Systems, and Signal Processing
Issue number4
Publication statusPublished - 15 Apr 2019


  • Convergence
  • Ideal switch circuit
  • Linear complementarity system
  • Linear network
  • Time-stepping method

ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics

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