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Nonzero-sum feedback differential game with a linear, symmetric, hyperbolic system. (English) Zbl 0372.90136

MSC:

91A23 Differential games (aspects of game theory)
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[1] Starr, A. W., andHo, Y. C.,Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 3, pp. 184-206, 1969. · Zbl 0169.12301 · doi:10.1007/BF00929443
[2] Lukes, D. L., andRussell, D. L.,A Global Theory for Linear-Quadratic Differential Games, Journal of Mathematical Analysis and Applications, Vol. 33, No. 1, pp. 96-123, 1971. · Zbl 0226.90053 · doi:10.1016/0022-247X(71)90185-5
[3] Bensoussan, A.,Points de Nash dans le Cas de Fonctionelles Quadratiques et Jeux Differentiels Lineares à N Personnes, SIAM Journal on Control, Vol. 13, No. 3, pp. 460-500, 1974. · Zbl 0286.90066 · doi:10.1137/0312037
[4] Grove, F. A., andPapadakis, J. S.,N-Person Games for Systems of Hyperbolic Linear Partial Differential Equations, Differential Games and Control Theory, Edited by E. O. Roxin, Marcel Dekker, New York, pp. 27-35, 1974.
[5] Chan, W. L.,Stackelberg Strategy for Linear-Quadratic Partial Differential Games, International Journal of Systems Science, Vol. 6, No. 5, pp. 433-441, 1975. · Zbl 0304.90144 · doi:10.1080/00207727508941829
[6] Ichikawa, A.,Linear-Quadratic Differential Games in a Hilbert Space, SIAM Journal on Control, Vol. 14, No. 1, pp. 120-136, 1976. · Zbl 0328.90082 · doi:10.1137/0314010
[7] Russell, D. L.,Quadratic Performance Criteria in Boundary Control of Linear Symmetric Hyperbolic Systems, SIAM Journal on Control, Vol. 11, No. 3, pp. 475-509, 1973. · Zbl 0259.49010 · doi:10.1137/0311039
[8] Trybus, L. A.,Nash Feedback Strategies for a Two-Person Partial Differential Game with a Neumann-Type Parabolic System, Control and Cybernetics (to appear). · Zbl 0397.49016
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