KT-invexity in optimal control problems

DOI10.1016/j.na.2009.03.055zbMath1169.49017OpenAlexW2077774163MaRDI QIDQ838089

Valeriano Antunes de Oliveira, Marko A. Rojas-Medar, Geraldo Nunes Silva

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/131594

zbMATH Keywords

generalized convexitysufficient optimality conditionsoptimal control problemsKT-invexityKuhn-Tucker type necessary optimality conditions

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (10)

On sufficient optimality conditions for multiobjective control problems ⋮ On generalized KT-pseudoinvex control problems involving multiple integral functionals ⋮ On a New Class of Interval-Valued Variational Control Problems ⋮ New optimality conditions for nonsmooth control problems ⋮ A necessary and sufficient condition for duality in control problems: KT-invex functionals ⋮ New nonlinear controller for a class of chaotic systems based on adaptive backstepping fuzzy-immune control ⋮ On a class of interval-valued optimization problems ⋮ Sufficient Optimality Conditions for Optimal Control Problems with State Constraints ⋮ Optimality Conditions for Nonregular Optimal Control Problems and Duality ⋮ Optimality conditions for discrete-time control problems

Cites Work

• The essence of invexity
• Continuous-time optimization problems involving invex functions
• Optimal control applications in electric power systems
• Duality and sufficiency in control problems with invexity
• On sufficiency of the Kuhn-Tucker conditions
• Nonsmooth continuous-time optimization problems: Sufficient conditions
• Continuous-time multiobjective optimization problems via invexity
• Multi-objective infinite programming
• On variational problems: characterization of solutions and duality
• A note on the relationships between convexity and invexity
• On the Efficacy of Nonlinear Control in Uncertain Linear Systems
• Sufficient optimality criteria and duality for variational problems with generalised invexity
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