Saddle-point-type optimality conditions and lagrangian-type duality for a class of constrained generalized fractional optimal control

DOI10.1080/02331939808844417zbMath0951.90043OpenAlexW2009017174MaRDI QIDQ4256100

G. J. Zalmai

Publication date: 12 January 2000

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939808844417

zbMATH Keywords

optimal controlduality theoremsconstraintssaddle point optimality conditionsLagrangian dual problemsgeneralized fractional objective function

Mathematics Subject Classification ID

Fractional programming (90C32) Programming in abstract spaces (90C48) Duality theory (optimization) (49N15)

Related Items (4)

Strong Lagrange duality and the maximum principle for nonlinear discrete time optimal control problems ⋮ Nonsmooth interval-valued optimization and saddle-point optimality criteria ⋮ A taxonomy and review of the multi-objective fractional programming (MOFP) problems ⋮ A sixth bibliography of fractional programming

Cites Work

• An algorithm for generalized fractional programs
• Generalized fractional programming: Algorithms and numerical experimentation
• Saddle-point type optimality criteria for generalized fractional programming
• Convergence of interval-type algorithms for generalized fractional programming
• Algorithms for generalized fractional programming
• Goal programming and multiple objective optimizations. Part I
• Generalized Cheney-Loeb-Dinkelbach-Type Algorithms
• Convergence of a Dinkelbach-type algorithm in generalized fractional programming
• Partial linearization for generalized fractional programming
• The Ritz–Trefftz Method for State and Control Constrained Optimal Control Problems
• Lagrange Duality Theory for Convex Control Problems
• A transposition theorem with applications to constrained optimal control problems
• Optimality conditions and duality models for generalized fractional programming problems containing locally subdifferentiable and ρ:-convex functions
• The Differential Correction Algorithm for Rational $\ell _\infty $-Approximation
• Best Rational Approximation and Strict Quasi-Convexity

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