Grammian assignment for stochastic-parameter systems and their stabilization under randomly varying delays

Engin Yaz, Asok Ray

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

The motivation for the work reported in this paper accrues from the necessity of finding stabilizing control laws for systems with randomly varying distributed delays. It reports the development of assignability conditions for mean square controllability and observability Grammians in discrete-time stochastic parameter systems, and shows how to parametrize the static output feedback gains to achieve a certain Grammian assignment. All assignable Grammians are expressed either as the simultaneous solutions of a Riccati-like matrix inequality and a linear equation or as a nonlinear matrix equation with a free parameter.

Original languageEnglish (US)
Pages (from-to)2176-2181
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume3
StatePublished - 1994
EventProceedings of the 2nd IEEE International Symposium on Requirements Engineering - York, Engl
Duration: Mar 27 1995Mar 29 1995

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Control and Systems Engineering
  • Modeling and Simulation

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