A existence result of solutions for a class of strongly nonlinear systems with nonmonotone perturbation is presented under quite weak assumptions. For such a strongly nonlinear closed loop control system, we prove the existence of feasible pairs and the existence of optimal controls of corresponding
Relaxed controls for a class of strongly nonlinear delay evolution equations
โ Scribed by X. Xiang; P. Sattayatham; Wei Wei
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 174 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
Relaxed controls for a class of strongly nonlinear delay evolution equations are investigated. Existence of solutions of strongly nonlinear delay equations is proved and properties of original and relaxed trajectories are discussed. The existence of optimal relaxed controls and relaxation result are also presented. For illustration, two examples are given.
๐ SIMILAR VOLUMES
In this paper, we consider the optimal control problem of system governed by a class of strongly nonlinear impulsive evolution equations. Based on the existence of strongly nonlinear impulsive evolution equations, which contain nonlinear monotone operators and nonmonotone perturbations, we prove the