Ramaswamy, M. ; Shaiju, A. J. (2009) Construction of approximate saddle-point strategies for differential games in a Hilbert space Journal of Optimization Theory and Applications, 141 (2). pp. 349-370. ISSN 0022-3239
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Official URL: http://www.springerlink.com/content/k04n8446571783...
Related URL: http://dx.doi.org/10.1007/s10957-008-9478-z
Abstract
Two-person zero-sum infinite-dimensional differential games with strategies and payoff as in Berkovitz (SIAM J. Control Optim. 23: 173-196, 1985) are studied. Using Yosida type approximations of the infinitesimal generator (of the unbounded dynamics) by bounded linear operators, we prove convergence theorems for the approximate value functions. This is used to construct approximate saddle-point strategies in feedback form.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Differential Games; Strategies; Saddle Points; Value Functions; Viscosity Solutions |
| ID Code: | 62292 |
| Deposited On: | 20 Sep 2011 09:32 |
| Last Modified: | 20 Sep 2011 09:32 |
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