On periodic solution to control problem with time-driven switching

Research output: Contribution to journalArticlepeer-review


In this contribution, we consider the optimal control problem for a switched dynamical system. While such systems can exhibit rather complex behavior in the case of only one switch, the most interesting problem corresponds to the case, when the system undergoes an infinite number of switches. We study the limiting behavior of optimal solutions under such assumption and show that there are three types of solutions, two of which correspond to cyclic evolution of the system state and control.

Original languageEnglish
JournalOptimization Letters
StateE-pub ahead of print - 19 May 2021

Scopus subject areas

  • Control and Optimization


  • Hybrid optimal control
  • Optimal control
  • Periodic system
  • Switched dynamics


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