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Existence of extended value for differential games of generalized pursuit-evasion
| Content Provider | Semantic Scholar |
|---|---|
| Author | Friedman, Avner |
| Copyright Year | 1973 |
| Abstract | Here the control functions y(t), z(t) c h osen by the players y, z are measurable functions with values in compact subsets Y, Z of some euclidean (or metric) spaces. The time t” is the capture time of the curve (t, x(t)) with respect to a given closed terminal set F in the (t, x)-space, and FI[T,, 03) x R”. The reader is referred to [5] for the general theory of differential games (with more general payoffs). Here we consider only the case of generalized pursuit-evasion games, i.e., the case where h(t, x, y, Z) > 0. The player y (called the evader) tries to maximize the payoff, and the player x (called the pursuer) tries to minimize the payoff. We shall assume: (AI) f(t, x, y, Z) is continuous in [t, , T] x RR” x Y x 2, and |
| Starting Page | 172 |
| Ending Page | 181 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0022-0396(73)90039-9 |
| Volume Number | 13 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82147917.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0022-0396%2873%2990039-9 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
