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Optimal stabilization in problems of adaptive nuclear kinetics

Optimal stabilization in problems of adaptive nuclear kinetics ISSN 0012-2661, Differential Equations, 2006, Vol. 42, No. 3, pp. 400–411.  c Pleiades Publishing, Inc., 2006. Original Russian Text  c V.Yu. Tertychnyi-Dauri, 2006, published in Differentsial’nye Uravneniya, 2006, Vol. 42, No. 3, pp. 374–384. ORDINARY DIFFERENTIAL EQUATIONS Optimal Stabilization in Problems of Adaptive Nuclear Kinetics V. Yu. Tertychnyi-Dauri St. Petersburg State University of Information Technologies, Mechanics, and Optics, St. Petersburg, Russia Received August 6, 2002 DOI: 10.1134/S0012266106030104 We consider adaptive optimal stabilization problems for linear control systems of nuclear kinetics in the deterministic and stochastic settings. Attention is mainly paid to the solution of optimal synthesis problems for a kinetic system that is parametrically indeterminate or is subjected to small random perturbations. The scheme for constructing a stable feedback includes the derivation of an optimal control law and finding a differential parametric identification algorithm. 1. INTRODUCTION Efficient control, in particular, adaptive stabilization of neutron and charge currents produced in nuclear fission, plays the main role in the operation of a nuclear power system regardless of the type and function of the system. Adaptive control of a dynamical system is traditionally understood as the problem of synthe- sizing a control law for this system under the conditions of http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Optimal stabilization in problems of adaptive nuclear kinetics

Tertychnyi-Dauri, V.
Differential Equations , Volume 42 (3) – Apr 17, 2006
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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2006 by Pleiades Publishing, Inc.
Subject
Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266106030104
Publisher site
See Article on Publisher Site

Abstract

ISSN 0012-2661, Differential Equations, 2006, Vol. 42, No. 3, pp. 400–411.  c Pleiades Publishing, Inc., 2006. Original Russian Text  c V.Yu. Tertychnyi-Dauri, 2006, published in Differentsial’nye Uravneniya, 2006, Vol. 42, No. 3, pp. 374–384. ORDINARY DIFFERENTIAL EQUATIONS Optimal Stabilization in Problems of Adaptive Nuclear Kinetics V. Yu. Tertychnyi-Dauri St. Petersburg State University of Information Technologies, Mechanics, and Optics, St. Petersburg, Russia Received August 6, 2002 DOI: 10.1134/S0012266106030104 We consider adaptive optimal stabilization problems for linear control systems of nuclear kinetics in the deterministic and stochastic settings. Attention is mainly paid to the solution of optimal synthesis problems for a kinetic system that is parametrically indeterminate or is subjected to small random perturbations. The scheme for constructing a stable feedback includes the derivation of an optimal control law and finding a differential parametric identification algorithm. 1. INTRODUCTION Efficient control, in particular, adaptive stabilization of neutron and charge currents produced in nuclear fission, plays the main role in the operation of a nuclear power system regardless of the type and function of the system. Adaptive control of a dynamical system is traditionally understood as the problem of synthe- sizing a control law for this system under the conditions of

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Differential Equations – Springer Journals

Published: Apr 17, 2006

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