Existence and stability analysis of optimal control

DOI10.1002/oca.2096zbMath1304.49006OpenAlexW2096622105MaRDI QIDQ2935213

Ding-Tao Peng, Jian Yu, Zixin Liu, Yong-Hui Zhou, Dao-Yun Xu

Publication date: 22 December 2014

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2096

zbMATH Keywords

stabilityexistence of solutionsset-valued mappingoptimal control problemessential solutiondense residual set

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued and variational analysis (49J53) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (11)

Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations ⋮ Stability analysis of optimal trajectory for nonlinear optimal control problems ⋮ Generic uniqueness of saddle point for two-person zero-sum differential games ⋮ Existence and generic stability of open-loop Nash equilibria for noncooperative fuzzy differential games ⋮ Constrained optimal control for a class of semilinear infinite dimensional systems ⋮ A fractional optimal control model for a simple cash balance problem ⋮ Generic stability of Nash equilibria for noncooperative differential games ⋮ On the stability of solutions for the generalized vector quasi-equilibrium problems via free-disposal set ⋮ Stability analysis for optimal control problems governed by semilinear evolution equation ⋮ Trajectory approximately controllability and optimal control for noninstantaneous impulsive inclusions without compactness ⋮ Existence and stability analysis for nonlinear optimal control problems with \(1\)-mean equicontinuous controls

Cites Work

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• Generic stability and essential components of generalized KKM points and applications
• The essential components of the set of equilibrium points for set-valued maps
• Essential equilibria in normal-form games
• Essential weak efficient solution in multiobjective optimization problems
• Essential equilibria of \(n\)-person noncooperative games
• The stability of the set of KKM points
• The Stability of Ky Fan's Points
• Optimal control
• Set-valued analysis

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