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Author Ryashko, Lev
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ MATHEMATICAL METHODS AND COMPUTING ♦ ALGORITHMS ♦ AMPLITUDES ♦ EQUATIONS ♦ EQUILIBRIUM ♦ MATHEMATICAL SOLUTIONS ♦ NONLINEAR PROBLEMS ♦ STABILIZATION ♦ STOCHASTIC PROCESSES
Abstract A stabilization problem of the equilibrium of stochastically forced nonlinear discrete-time system with incomplete information is considered. Our approach uses a regulator which synthesizes the required stochastic sensitivity of the equilibrium. Mathematically, this problem is reduced to the solution of some quadratic matrix equations. A description of attainability sets and algorithms for regulators design is given. The general results are applied to the suppression of unwanted large-amplitude oscillations around the equilibria of the stochastically forced Verhulst model with noisy observations.
ISSN 0094243X
Educational Use Research
Learning Resource Type Article
Publisher Date 2015-11-30
Publisher Place United States
Volume Number 1690
Issue Number 1


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