Optimal control for discrete-time NCSs with input delay and Markovian packet losses: Hold-input case

Hongdan Li, Xun Li, Huanshui Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review


This paper is concerned with the linear–quadratic optimal control problem for networked systems simultaneously with input delay and Markovian packet losses under hold-input compensation strategy, which is different from the literature. Necessary and sufficient conditions for the solvability of optimal control problem over a finite horizon are given by coupled difference Riccati-type equations. Moreover, the networked control system is mean-square stability if and only if coupled algebraic Riccati-type equations have a particular solution. Due to input delay and Markovian packet dropout, it leads to the failure of the separation principle, which is a fundamental obstacle. The key technique in this paper is to tackle forward and backward difference equations by decoupling.

Original languageEnglish
Article number109806
Pages (from-to)1-10
Number of pages10
Publication statusPublished - Oct 2021


  • Hold-input
  • Input delay
  • Markovian packet losses
  • Stabilization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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