Uniformly optimal control of linear time-varying systems

A. Feintuch, B. A. Francis

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


An optimal control problem is formulated in the context of linear, discrete-time, time-varying systems. The cost is the supremum, over all exogenous inputs in a weighted ball, of the sum of the weighted energies of the plant's input and output. The controller is required to be causal and to achieve internal stability. Existence of an optical controller is proved and a formula for the minimum cost is derived.

Original languageEnglish
Pages (from-to)67-71
Number of pages5
JournalSystems and Control Letters
Issue number1
StatePublished - 1 Jan 1984


  • Causal controllers
  • Operator-theoretic approach
  • Optimal control
  • Time-varying systems
  • Uniform optimality

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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