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Journal of Computer and Systems Sciences International

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01-09-2019 | OPTIMAL CONTROL

Asymptotics of the Solution to the Minimization Problem of the Integral Quadratic Performance Index on Trajectories of a Quasi-Linear System

Authors: A. I. Kalinin, L. I. Lavrinovich

Published in: Journal of Computer and Systems Sciences International | Issue 5/2019

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Abstract

The problem of minimizing an integral quadratic performance index on the trajectories of a quasi-linear dynamic system with a small parameter multiplying the nonlinearities subject to terminal constraints is considered. Asymptotic approximations of the optimal control in this problem in the form of open loop control and feedback are constructed. The computations are reduced to solving the unperturbed linear-quadratic problem, integrating systems of linear differential equations, and finding the roots of nonsingular linear algebraic systems.

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Title: Asymptotics of the Solution to the Minimization Problem of the Integral Quadratic Performance Index on Trajectories of a Quasi-Linear System
Authors: A. I. Kalinin
L. I. Lavrinovich
Publication date: 01-09-2019
Publisher: Pleiades Publishing
Published in: Journal of Computer and Systems Sciences International / Issue 5/2019
Print ISSN: 1064-2307
Electronic ISSN: 1555-6530
DOI: https://doi.org/10.1134/S1064230719050058

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