Necessary Conditions of Optimality in Goursat-Darboux Problem with Generalized Controls

2001 ◽  
Vol 33 (5-8) ◽  
pp. 9
Author(s):  
Leila Kyazim kyzy. Hasanova ◽  
Kyazim Kara ogly. Hasanov
Keyword(s):  
Necessary Conditions ◽  
Darboux Problem ◽  
Necessary Conditions Of Optimality ◽  
Generalized Controls

scholarly journals Necessary conditions of optimality for infinite dimensional uncertain systems

1995 ◽  
Vol 1 (3) ◽  
pp. 179-191 ◽  
Author(s):  
N. U. Ahmed ◽  
X. Xiang
Keyword(s):  
Uncertain Systems ◽  
Infinitesimal Generator ◽  
Continuous Semigroup ◽  
Computational Algorithm ◽  
Necessary Conditions ◽  
Reflexive Banach Space ◽  
Linear Operators ◽  
Infinite Dimensional ◽  
Necessary Conditions Of Optimality ◽  
Semigroup Of Linear Operators

In this paper we consider optimal control problem for infinite dimensional uncertain systems. Necessary conditions of optimality are presented under the assumption that the principal operator is the infinitesimal generator of a strongly continuous semigroup of linear operators in a reflexive Banach space. Further, a computational algorithm suitable for computing the optimal policies is also given.

scholarly journals Necessary conditions of optimality in quasilinear systems with delays

PAMM ◽  
2008 ◽  
Vol 8 (1) ◽  
pp. 10871-10872
Author(s):  
M. Tsintsadze ◽  
Z. Tsintsadze
Keyword(s):  
Necessary Conditions ◽  
Necessary Conditions Of Optimality ◽  
Quasilinear Systems

scholarly journals On solution sets of nonconvex Darboux problems and applications to optimal control with endpoint constraints

1996 ◽  
Vol 37 (3) ◽  
pp. 354-391 ◽  
Author(s):  
H. D. Tuan
Keyword(s):  
Constraint Qualification ◽  
Necessary Conditions ◽  
Optimization Problems ◽  
Regularity Assumption ◽  
Darboux Problem ◽  
Continuous Version ◽  
Open Mapping Theorem ◽  
Solution Sets ◽  
Relaxation Theorem ◽  
Endpoint Constraints

AbstractWe prove a continuous version of a relaxation theorem for the nonconvex Darboux problem xlt ε F(t, τ, x, xt, xτ). This result allows us to use Warga's open mapping theorem for deriving necessary conditions in the form of a maximum principle for optimization problems with endpoint constraints. Neither constraint qualification nor regularity assumption is supposed.

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