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Global and Local Search Methods for D.C. Constrained Problems Read chapter Read first chapter

2020 | OriginalPaper | Chapter

On a One-Dimensional Differential Game with a Non-convex Terminal Payoff

Authors : Igor’ V. Izmest’ev, Viktor I. Ukhobotov

Published in: Mathematical Optimization Theory and Operations Research

Publisher: Springer International Publishing

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Abstract

A one-dimensional differential game is considered, in which the payoff is determined by the modulus of the deviation of the phase variable at a fixed time from the set value, taking into account the periodicity. The first player seeks to minimize the payoff. The goal of the second player is the opposite. For this problem, the price of the game is calculated and optimal player controls are constructed. As an example, we consider the problem of controlling a rotational mechanical system in which the goal of the first player acquires the meaning of minimizing the modulus of deviation of the angle from the desired state.

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previous chapter On the Cooperative Behavior in Multistage Multicriteria Game with Chance Moves
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Metadata
Title
On a One-Dimensional Differential Game with a Non-convex Terminal Payoff
Authors
Igor’ V. Izmest’ev
Viktor I. Ukhobotov
Copyright Year
2020
Book
Mathematical Optimization Theory and Operations Research

Print ISBN: 978-3-030-49987-7

Electronic ISBN: 978-3-030-49988-4

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-49988-4_14

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