Abstract
In this chapter we broaden the general perspective of the book and consider two-player zero-sum games with linear dynamics and a quadratic utility function over a finite time horizon. They can be viewed as a natural extension of the single player linear quadratic optimal control problem. In particular they illustrate the occurrence of symmetrical solutions to the matrix Riccati differential equation that are not necessarily positive semi-definite. It also connects with the glimpse of H∞-theory given in the previous chapter.
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© 2007 Birkhäuser Boston
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(2007). Linear Quadratic Two-Person Zero-Sum Differential Games. In: Representation and Control of Infinite Dimensional Systems. Systems & Control: Foundations & Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4581-6_3
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DOI: https://doi.org/10.1007/978-0-8176-4581-6_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4461-1
Online ISBN: 978-0-8176-4581-6
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