排序方式: 共有4条查询结果,搜索用时 15 毫秒
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Necessary conditions for the optimal control of a linear system of neutral type functional differential equations are obtained. We show that a success in reducing the initial problem to the problem of solvability of a certain boundary value problem is, in principle, a question of one's ability to construct adjoint operators to the operators appearing in the initial control problem. 相似文献
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Buttazzo G. Drakhlin M. E. Freddi L. Stepanov E. 《Journal of Optimization Theory and Applications》1997,93(1):103-119
The paper deals with the variational convergence of a sequence of optimal control problems for functional differential state equations with deviating argument. Variational limit problems are found under various conditions of convergence of the input data. It is shown that, upon sufficiently weak assumptions on convergence of the argument deviations, the limit problem can assume a form different from that of the whole sequence. In particular, it can be either an optimal control problem for an integro-differential equation or a purely variational problem. Conditions are found under which the limit problem preserves the form of the original sequence. 相似文献
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Mikhail E. Drakhlin Eugene Stepanov 《Proceedings of the American Mathematical Society》1998,126(1):173-179
The equivalence of the weak (pointwise) and strong convergence of a sequence of inner superposition operators is proved as well as the criteria for such convergence are provided. Besides, the problems of continuous weak convergence of such operators and of representation of a limit operator are studied.
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