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First and second order sufficient conditions for optimal control and the calculus of variations

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What this work says

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

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Sufficient conditions for a control to be a strong minimum
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A modified Hamilton-Jacobi approach in the generalized problem of Bolza
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Generalized gradients of Lipschitz functionals
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Convex Integral Functionals and Duality
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Calculus of Variations and Optimal Control Theory
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Optimal Arcs and the Minimum Value Function in Problems of Lagrange
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A verification theorem which provides a necessary and sufficient condition for optimality
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Sufficient Conditions for the Optimal Control of Nonlinear Systems
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Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method
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The Generalized Problem of Bolza
inferredcites →https://doi.org/10.1137/0321013openalex-snapshot
New Global Optimality Conditions in Optimal Control Theory
inferredcites →https://doi.org/10.1137/0322020openalex-snapshot
Extended Jacobi Sufficiency Criterion for Optimal Control
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.2307/2005033openalex-snapshot
Calculus of Variations and Optimal Control Theory
inferredcites →https://doi.org/10.2307/2525753openalex-snapshot
Sufficient Conditions in Optimal Control Theory

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

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Optimality conditions and duality for a non-linear time-delay control problem
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Another Jacobi sufficiency criterion for optimal control with smooth constraints
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Sufficient conditions for variational problems with delayed argument
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Sufficient conditions for variational problems with variable endpoints: Coupled points
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Optimality, stability, and convergence in nonlinear control
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Sufficiency conditions with minimal regularity assumptions
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Critical point theory for smooth functions on Hilbert manifolds with singularities and its application to some optimal control problems
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Sufficient conditions for optimal control problems with time delay
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Geometrical and topological methods in optimal control theory
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Metric critical point theory: Potential Well Theorem and its applications
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Duality and optimality conditions for infinite dimensional optimization problems
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Global methods to improve control and optimal control of resonance interaction of light and matter
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The minimum plane path for movable end-points and the nonsimultaneous variations
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Value Functions and Transversality Conditions for Infinite-Horizon Optimal Control Problems
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Convergence Analysis of the Implicit Euler-discretization and Sufficient Conditions for Optimal Control Problems Subject to Index-one Differential-algebraic Equations
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On the optimality and stability of competitive paths in continuous time growth models
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Exterior penalty method for nonlinear optimal control with distinct state and velocity delays
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Relaxing Strengthened Legendre--Clebsch Condition
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Variational Approach to Second-Order Sufficient Optimality Conditions in Optimal Control
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The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency
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Sufficient Optimality Conditions for Optimal Control Subject to State Constraints
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The Economical Control of Infectious Diseases
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Designing rendezvous missions with mini-moons using geometric optimal control
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Pointwise minimization of supplemented variational problems
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Local Minimality of a Lipschitz Extremal
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Second Order Optimality Conditions for Optimal Control Problems of Stochastic Evolution Equations
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