Existence and Structure of Optimal Solutions of Infinite-Dimensional Control Problems

2000 ◽  
Vol 42 (3) ◽  
pp. 291-313 ◽  
Author(s):  
A. J. Zaslavski
Keyword(s):  
Control Problems ◽  
Optimal Solutions ◽  
Dimensional Control ◽  
Infinite Dimensional

scholarly journals Pareto optimality for nonlinear infinite dimensional control systems

1990 ◽  
Vol 13 (2) ◽  
pp. 233-242
Author(s):  
Evgenios P. Avgerinos ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Control Systems ◽  
Pareto Optimality ◽  
Pareto Optimal ◽  
Pareto Optimal Solutions ◽  
Control Constraints ◽  
Optimal Solutions ◽  
Integral Criterion ◽  
Dimensional Control ◽  
Infinite Dimensional ◽  
State Dependent

In this note we establish the existence of Pareto optimal solutions for nonlinear, infinite dimensional control systems with state dependent control constraints and an integral criterion taking values in a separable, reflexive Banach lattice. An example is also presented in detail. Our result extends earlier ones obtained by Cesari and Suryanarayana.

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