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Ma, Fai (1981-04-29) Stability theory of linear and nonlinear stochastic difference systems. http://resolver.caltech.edu/CaltechETD:etd-06232005-145221


Type of Document Dissertation
Author Ma, Fai
URN etd-06232005-145221
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-06232005-145221
Title Stability theory of linear and nonlinear stochastic difference systems
Degree PhD
Option Applied and Computational Mathematics
Advisory Committee
Advisor Name Title
Thomas Kirk Caughey Committee Chair
Keywords
  • none
Date of Defense 1981-04-29
Availability restricted
Abstract
In this report the stability of linear and nonlinear stochastic difference systems is considered. Explicit criteria for stability are derived. An algorithm is developed for computing the moments of linear stochastic systems when a certain Lie-algebraic condition is satisfied. The relationship between various stability definitions is explored.

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