Existence in optimal control problems of certain Fredholm integral equations

作者: Tomas Roubicek , Werner H. Schmidt

DOI:

关键词:

摘要: Existence of an optimal control for certain systems governed by nonlinear Fredholm integral equations that arc a Hammerstein type with respect to the is proved under con­ vexity t he orientor field using relaxed problem. Then, this convexity assumption put away finer analysis maximum principle. Illustrative examples are presented.

参考文章(19)
T Roubíček, None, Optimal Control of Nonlinear Fredholm Integral Equations Journal of Optimization Theory and Applications. ,vol. 97, pp. 707- 729 ,(1998) , 10.1023/A:1022650427993
Leonhard Bittner, On the Convexification of Optimal Control Problems of Flight Dynamics International conference in honour of L. Bittner and R. Klötzler. pp. 3- 14 ,(1998) , 10.1007/978-3-0348-8802-8_1
Aleksandr Davidovich Ioffe, Vladimir M. Tikhomirov, Theory of extremal problems ,(1979)
Lamberto Cesari, Optimization-Theory and Applications ,(1983)
Tullio Zolezzi, Esistenza e condizioni necessarie per controlli ottimi di sistemi definiti da equazioni integrali Annali di Matematica Pura ed Applicata. ,vol. 91, pp. 97- 118 ,(1971) , 10.1007/BF02428816
E.J. Balder, Existence of Optimal Solutions for Control and Variational Problems with Recursive Objectives Journal of Mathematical Analysis and Applications. ,vol. 178, pp. 418- 437 ,(1993) , 10.1006/JMAA.1993.1316
E. J. Balder, On existence problems for the optimal control of certain nonlinear integral equations of Urysohn type Journal of Optimization Theory and Applications. ,vol. 42, pp. 447- 465 ,(1984) , 10.1007/BF00935326
Maria Luisa Bennati, Un teorema di esistenza per controlli ottimi di sistemi definiti da equazioni integrali di Urysohn Annali di Matematica Pura ed Applicata. ,vol. 121, pp. 187- 197 ,(1979) , 10.1007/BF02412001