Feedback-invariant optimal control theory and differential geometry. II. Jacobi curves for singular extremals
From MaRDI portal
Publication:1972780
DOI10.1023/A:1021871218615zbMath0972.49014OpenAlexW298729260MaRDI QIDQ1972780
Publication date: 13 April 2000
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1021871218615
Feedback control (93B52) Geodesics in global differential geometry (53C22) Optimality conditions for problems involving ordinary differential equations (49K15) Linear and affine connections (53B05) Other connections (53B15)
Related Items
Rolling balls and octonions ⋮ Restricted Jacobi Fields ⋮ Fundamental form and the Cartan tensor of \((2,5)\)-distributions coincide ⋮ On Zermelo-like problems: Gauss-Bonnet inequality and E. Hopf theorem ⋮ On geometry of curves of flags of constant type ⋮ Microlocal normal forms for regular fully nonlinear two-dimensional control systems ⋮ Jacobi fields in optimal control: one-dimensional variations ⋮ Symplectic geometry of constrained optimization ⋮ Vector fields on \(n\)-foliated \(2n\)-dimensional manifolds ⋮ Jacobi fields in optimal control: Morse and Maslov indices ⋮ On variational approach to differential invariants of rank two distributions ⋮ Geometric problems in control theory. Transl. from the Russian ⋮ Singular velocities of even-rank affine distributions ⋮ Geometric invariants of fanning curves ⋮ Geometry of rank 2 distributions with nonzero Wilczynski invariants* ⋮ Null-forms of conic systems in \(\mathbb{R}^3\) are determined by their symmetries ⋮ Singular curves determine generic distributions of corank at least 3
