Conjugate points in the calculus of variations and optimal control theory via the quadratic form theory
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Publication:1355058
zbMath0880.49026MaRDI QIDQ1355058
Publication date: 8 February 1998
Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)
quadratic functionalsEuler-Lagrange equationJacobi conditionlinear-quadratic control problemsconcept of coupled pointconjugate point theoryHestenes index theoryvariable end points
Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for free problems in one independent variable (49K05)
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Coupled intervals for discrete \(p\)-degree functional ⋮ The minimum plane path for movable end-points and the nonsimultaneous variations ⋮ A half-linear differential equation and variational problem ⋮ Local minimality properties of circular motions in \(1/r^\alpha\) potentials and of the figure-eight solution of the 3-body problem
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