Title :
A two-sided game for non-local competitive systems with control on source terms
Author :
Lenhart, S. ; Protopopescu, V. ; Stojanovic, S.
Author_Institution :
Dept. of Math., Tennessee Univ., Knoxville, TN, USA
Abstract :
A two-sided game for the control of a stationary semilinear competitive system with non-local interaction terms is considered. The controls of the system are the autonomous sources. The saddle point of the system, i.e. the optimal solution of the game, is characterized as the unique solution of the associated optimality system (OS). The OS consists of two elliptic partial differential equation state equations coupled with two adjoint equations. The solution of the OS is constructed by an alternating monotonic iteration scheme
Keywords :
game theory; iterative methods; linear systems; partial differential equations; adjoint equations; alternating monotonic iteration scheme; elliptic partial differential equation; nonlocal system; optimal solution; optimality system; saddle point; state equations; stationary semilinear competitive system; Chemicals; Chromium; Control systems; Differential equations; Game theory; Kernel; Laboratories; Mathematics; Optimal control; Partial differential equations; Physics;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261873
