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Necessary Conditions for Optimal Control Problems: Conjugate Points
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Calculus of Variations: Applications
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La Theorie de la Seconde Variation et le Probleme Lineaire Quadratique
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A second-order Lagrangian condition for restricted control problems
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Sufficient conditions for a control to be a strong minimum
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Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions
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First and second order sufficient conditions for optimal control and the calculus of variations
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Lectures on the calculus of variations and optimal control theory
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On the conjugate point condition for the control problem
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Calculus of Variations and Optimal Control Theory
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Sufficient Conditions for the Generalized Problem of Bolza
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Extended Jacobi Sufficiency Criterion for Optimal Control
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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The non‐linear beam via optimal control with bounded state variables
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Second-order necessary conditions for differential inclusion problems
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Perturbations of extremal problems with constraints and necessary optimality conditions
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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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Morse theory and Lyusternik-Shnirelman theory in geometric control theory
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Geometrical and topological methods in optimal control theory
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Variable end points problems in the calculus of variations : Coupled points
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Reid Roundabout Theorem for Symplectic Dynamic Systems on Time Scales
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Extended Sufficient Conditions of Strong Minimality for the Bolza Problem with Bang Bang Controls. Applications to Space Trajectory Optimization
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The conjugate point condition for smooth control sets
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Admissible directions and generalized coupled points for optimal control problems
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Generalized conjugate points for optimal control problems
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Conjugate points in infinite-horizon control problems
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Conjugate points and shocks in nonlinear optimal control
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Variational conditions and conjugate points for the fixed-endpoint control problem
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Three improved notions of conjugate points in optimal control
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Coupled points in optimal control theory
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Conjugate points and optimal control: counterexamples
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Necessary and sufficient conditions for optimality in linear-quadratic problems of optimal control
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Optimal data integrity attack on actuators in Cyber-Physical Systems
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An extension of the conjugate point condition to the case of variable end points
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Conjugate points and intersections of bang-bang trajectories
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Generalized conjugate points in optimal control
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Elastic Stability of Concentric Tube Robots Subject to External Loads
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Necessary and Sufficient Conditions for Local Optimality of a Periodic Process
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Sufficiency Criteria via Focal Points and via Coupled Points
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Solution Differentiability for Nonlinear Parametric Control Problems
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Second Order Necessary Conditions and Sensitivity Relations for Optimal Control Problems on Riemannian Manifolds
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Higher Order Conditions in Nonlinear Optimal Control
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Convex Cones and Conjugacy for Inequality Control Constraints
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