Second-order tests in optimization theories
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Publication:1843050
DOI10.1007/BF00935505zbMath0279.49016MaRDI QIDQ1843050
Publication date: 1975
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Optimality conditions (49Kxx)
Related Items (6)
Mathematical theory of optimal control ⋮ Synthesis in problems of optimal control containing trajectories with participating switchings and singular trajectories of the second order ⋮ Unnamed Item ⋮ Recent advances in gradient algorithms for optimal control problems ⋮ Minimum-fuel rocket trajectories involving intermediate-thrust arcs ⋮ Rectifications régularisantes du problème des deux corps. (Regularizing rectifications of the two-body problem)
Cites Work
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- On the conjugate point condition for the control problem
- A note on a sufficiency theorem for optimal control
- Sufficiency theorems for optimal control
- New second-order and first-order algorithms for determining optimal control: A differential dynamic programming approach
- Sufficient conditions for optimal control with state and control constraints
- Necessary and sufficient conditions for optimality for singular control problems: A transformation approach
- A sufficiency theorem for optimal control
- A general sufficiency theorem for the second variation
- Chattering arcs and chattering controls
- Sufficiency for optimal control with state and control constraints
- Optimization and Control of Nonlinear Systems Using the Second Variation
- A second variation test for singular extremals
- Necessary conditions for singular extremals
- The Second Variation for the Singular Bolza Problem
- Optimality of intermediate-thrust arcs of rocket trajectories
- A Sufficient Condition in the Theory of Optimal Control
- Sufficient Conditions for the Optimal Control of Nonlinear Systems
- Necessary Conditions for Singular Extremals Involving Multiple Control Variables
- Second Order Conditions for Constrained Minima
- A New Necessary Condition of Optimality for Singular Control Problems
- Sufficient Conditions for Nonnegativity of the Second Variation in Singular and Nonsingular Control Problems
- New Jacobi-type necessary and sufficient conditions for singular optimization problems
- Necessary and Sufficient Optimality Conditions for a Class of Distributed Parameter Control Systems
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