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Stability analysis of systems with stochastically varying delays

Authors
Journal
Systems & Control Letters
0167-6911
Publisher
Elsevier
Publication Date
Volume
58
Identifiers
DOI: 10.1016/j.sysconle.2009.08.009
Keywords
  • Delay Equations
  • Stability
  • Stochastic Process
  • Time-Varying Delay
Disciplines
  • Mathematics

Abstract

Abstract A stability analysis of linear systems with stochastically varying delay is performed. It is assumed that the delay function has the form of a sawtooth with switches occurring at the arrival times of a homogeneous Poisson process. Several notions of stochastic stability are considered and corresponding stability criteria are derived. For two examples the different criteria are compared and the effect on stability of various deterministic approximations is examined.

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