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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Volterra Equations in the Problem of Modeling of Non-stationary Dynamic Systems
by
Denis Nikolaevich Sidorov

For modelling of dynamic systems of entry-exit type the Volterra integral series are used. The finite sums of Volterra series


q
å
p=1 
å
 £ i1 £ ¼ £ ip £ m 
 ó
õ 		t

0 
 ¼ ó
õ 		t

0 
 Ki1¼ip (t, s1, ¼, sp) xi1( s1) ¼xip (sp) d s1 ¼d sp=y(t),
t Î [0, T]

are applied. Here xi1, ¼, xip   and   y(t)  are deviations from stationary values of input and output signals respectively. The functions Ki1 ¼ip are named by the Volterra kernels. Our aim is to identify Volterra kernels by special responses of system to special sets of test perturbations. This problem is solved by the reduction of this problem to the multidementional Volterra integral equations of the 1st kind. The linear combinations of reaction y(t) for identification of kernels are found. This algorithm was used for the creation of software for modeling of heat exchanger.

Denis N. Sodorov's Homepage

Date received: March 17, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-11.