Abstract
We shall be concerned with a dynamical system that is a subset of the universe defined by its state, a set of n real numbers, x ∈ Rn, which change in a prescribed manner with the passing of time t (−∞,∞)(*). The evolution of the state is influenced, or as we say controlled, by N agents whom we shall call players. In particular, we shall deal with a dynamical system whose behavior is governed by ordinary differential equations,the state equations.
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Reference for Chapter 2.
Isaacs, R., Differential games, Wiley, N.Y., 1965.
Blaquière, A., Gérard, F., and Leitmann, G., Quantitative and Qualitative Games, Academic Press, N.Y. 1969.
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© 1974 Springer-Verlag Wien
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Leitmann, G. (1974). Dynamical Systems. In: Cooperative and Non-Cooperative Many Players Differential Games. International Centre for Mechanical Sciences, vol 190. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2914-2_2
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DOI: https://doi.org/10.1007/978-3-7091-2914-2_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81275-4
Online ISBN: 978-3-7091-2914-2
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