Controllability and Time-Optimal Control of Systems with Slow and Fast Modes

P. V. Kokotović, A. H. Haddad

Research output: Contribution to journalArticlepeer-review

91 Scopus citations


The controllability of linear systems with large and small time constants (singularly perturbed systems) is established. The time-optimal control of such systems is shown to be separable into two time scales related to the slow and fast modes of the system. An approximate design method of the time-optimal control is proposed, which is based on the separability of the fast and slow controls.

Original languageEnglish (US)
Pages (from-to)111-113
Number of pages3
JournalIEEE Transactions on Automatic Control
Issue number1
StatePublished - 1975

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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