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Duality in optimal control

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Ekeland, I. / Temam, R., Convex Analysis and Variational Problems. Amsterdam‐Oxford. North‐Holland Publ. Company. 1976. IX, 402 S., Dfl. 85.00. US $ 29.50 (SMAA 1)

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On Conjugate Convex Functions

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Saddle points of hamiltonian systems in convex problems of Lagrange

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Nonlinear Operators and the Calculus of Variations

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Integral functionals, normal integrands and measurable selections

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Existence theorems for general control problems of Bolza and Lagrange

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Generalized gradients of Lipschitz functionals

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The Euler-Lagrange differential inclusion

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Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate

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Relaxed variational problems

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Conjugate convex functions in optimal control and the calculus of variations

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Conjugate convex functions in optimal stochastic control

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Admissible relaxation in variational and control problems

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Constrained control problems with convex cost in Hilbert space

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On convex control problems on infinite intervals

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Convex Analysis and Variational Problems

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Studies in Mathematics and its Applications

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Calculus of Variations and Control Theory

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Existence Theorems for Weak and Usual Optimal Solutions in Lagrange Problems with Unilateral Constraints. I

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Existence Theorems for Optimal Problems with Vector-Valued Cost Function

inferredcites →https://doi.org/10.1090/s0002-9947-1971-0282283-0openalex-snapshot

Existence and Duality Theorems for Convex Problems of Bolza

inferredcites →https://doi.org/10.1090/s0002-9947-1975-0367131-6openalex-snapshot

Generalized Gradients and Applications

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State Constraints in Convex Control Problems of Bolza

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Convex Control Problems of Bolza in Hilbert Spaces

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On the Control Problem of Bolza in Hilbert Spaces

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The Generalized Problem of Bolza

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The Maximum Principle under Minimal Hypotheses

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Survey of Measurable Selection Theorems

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Conjugate Duality and Optimization

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1. Conjugate Duality and Optimization

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Convex Analysis

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Generalized Hamiltonian equations for convex problems of Lagrange

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On Conjugate Convex Functions

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Semigroups of convex bifunctions generated by Lagrange problems in the calculus of variations.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Local convex analysis

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Lower closure for orientor fields by lower semicontinuity of outer integral functionals

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On lower closure and lower semicontinuity in the existence theory for optimal control

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Optional and Predictable Projections of Normal Integrands and Convex-Valued Processes

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Michael Selections and Castaing Representations with càdlàg Functions

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The theory of duality in systems with aftereffect

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The existence of optimal consumption policies in optimal economic growth models with nonconvex technologies

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Degree theoretic methods in optimal control

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Optimal feedback control for a class of bottleneck problems

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Primal-dual properties of sequential gradient-restoration algorithms for optimal control problems 2. General problem

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Primal and dual formulations of sequential gradient-restoration algorithms for trajectory optimization problems

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Periodic solutions to differential inclusions

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DEGREE THEORETIC METHODS IN OPTIMAL CONTROL

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A dual to Lyapunov's stability theorem

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Optimal Solution of a Bottleneck Problem with State Delay

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Deterministic and stochastic optimization problems of bolza type in discrete time

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Controllability, observability, and optimality in hereditary systems of neutral type

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On a Geometric Notion of Duality in Nonlinear Control Systems

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Dual Approximations in Optimal Control

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Linear-Quadratic Programming and Optimal Control

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State Constrained Control Problems Governed by Variational Inequalities

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Duality in Convex Problems of Bolza over Functions of Bounded Variation

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OPTIMALITY CONDITIONS AND DUALITY MODELS FOR MINMAX FRACTIONAL OPTIMAL CONTROL PROBLEMS CONTAINING ARBITRARY NORMS

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Convex integral functionals of cadlag processes

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