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Quadratic integral games and causal synthesis.
- Source :
-
Transactions of the American Mathematical Society . Jun2000, Vol. 352 Issue 6, p2737-2764. 28p. - Publication Year :
- 2000
-
Abstract
- The game problem for an input-output system governed by a Volterra integral equation with respect to a quadratic performance functional is an untouched open problem. In this paper, it is studied by a new approach called projection causality. The main result is the causal synthesis which provides a causal feedback implementation of the optimal strategies in the saddle point sense. The linear feedback operator is determined by the solution of a Fredholm integral operator equation, which is independent of data functions and control functions. Two application examples are included. The first one is quadratic differential games of a linear system with arbitrary finite delays in the state variable and control variables. The second is the standard linear-quadratic differential games, for which it is proved that the causal synthesis can be reduced to a known result where the feedback operator is determined by the solution of a differential Riccati operator equation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL equations
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 352
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 9596286
- Full Text :
- https://doi.org/10.1090/S0002-9947-99-02457-5