Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/27274
Title: On controlling stochastic sensitivity of oscillatory systems
Authors: Bashkirtseva, I. A.
Nurmukhametova, D. R.
Ryashko, L. B.
Issue Date: 2013
Citation: Bashkirtseva I. A. On controlling stochastic sensitivity of oscillatory systems / I. A. Bashkirtseva, D. R. Nurmukhametova, L. B. Ryashko // Automation and Remote Control. — 2013. — Vol. 74. — № 6. — P. 932-943.
Abstract: For a nonlinear oscillatory stochastic system, we study the control problem for the variance of random trajectories around a deterministic cycle. To describe the range of random trajectories, we use the method of stochastic sensitivity functions. We consider the problem of designing a given stochastic sensitivity function, discuss problems of controllability and reachability. Complete stochastic controllability is only possible when the control's dimension coincides with the system's dimension. Otherwise, the design problem becomes ill-posed. To solve it, we propose a regularization method that lets us produce a given stochastic sensitivity function with any given precision. The efficiency of the proposed approach is demonstrated with the example of controlling stochastic oscillations in a brusselator model. © 2013 Pleiades Publishing, Ltd.
Keywords: BRUSSELATORS
CONTROL PROBLEMS
DESIGN PROBLEMS
DETERMINISTIC CYCLES
OSCILLATORY SYSTEM
REGULARIZATION METHODS
STOCHASTIC OSCILLATIONS
STOCHASTIC SENSITIVITY FUNCTIONS
STOCHASTIC SYSTEMS
STOCHASTIC MODELS
URI: http://hdl.handle.net/10995/27274
DOI: 10.1134/S0005117913060040
SCOPUS: http://www.scopus.com/inward/record.url?eid=2-s2.0-84879298545&partnerID=40&md5=4beb3fd3ffc597ff3c110c898b4c5f47
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS

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