Work

Asymptotic behavior of the solution to a singularly perturbed linear-quadratic terminal control problem

Year: 2010

Type: article

Abstract: A quadratic terminal cost functional is minimized on the trajectories of a linear singularly perturbed system. Equality constraints are imposed on the right end of the trajectories, while the multidimensional controls are bounded in the Euclidean norm. An algorithm is proposed for constructing asymptotic approximations to the solution of the problem.

Source: Computational Mathematics and Mathematical Physics

DOI: 10.1134/s0965542510030036

Author: A. I. Kalinin

Institution: Belarusian State University

Language: English

Topic: Singular Perturbation, Asymptotics and Difference Schemes

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1995841951

FWCI:

Cites: 9

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Related to: 9