Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials

D. N. Sidorov; N. A. Sidorov

doi:10.1134/S0005117911060130

Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials

D. N. Sidorov^*
, N. A. Sidorov

^*Corresponding author for this work

Melent'ev Institute of Power Engineering Systems
Irkutsk State University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We consider generalized solutions of polynomial integral Volterra equations of the first kind that arise in a control problem for nonlinear dynamical processes of the "input-output" type. We prove the existence theorem and propose a method for constructing generalized solutions. We establish that the number of solutions equals the number of roots of a certain polynomial.

Original language	English
Pages (from-to)	1258-1263
Number of pages	6
Journal	Automation and Remote Control
Volume	72
Issue number	6
DOIs	https://doi.org/10.1134/S0005117911060130
State	Published - Jun 2011
Externally published	Yes

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title = "Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials",

abstract = "We consider generalized solutions of polynomial integral Volterra equations of the first kind that arise in a control problem for nonlinear dynamical processes of the {"}input-output{"} type. We prove the existence theorem and propose a method for constructing generalized solutions. We establish that the number of solutions equals the number of roots of a certain polynomial.",

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AB - We consider generalized solutions of polynomial integral Volterra equations of the first kind that arise in a control problem for nonlinear dynamical processes of the "input-output" type. We prove the existence theorem and propose a method for constructing generalized solutions. We establish that the number of solutions equals the number of roots of a certain polynomial.

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DO - 10.1134/S0005117911060130

M3 - 文章

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SP - 1258

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JO - Automation and Remote Control

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Generalized solutions in the problem of dynamical systems modeling by Volterra polynomials

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