Linear control systems and invariant variational problems (Q2910001)
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scientific article; zbMATH DE number 6078933
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear control systems and invariant variational problems |
scientific article; zbMATH DE number 6078933 |
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7 September 2012
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control systems
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variational problems
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plane curves
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centro-affine geometry
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Linear control systems and invariant variational problems (English)
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The author gives an overview of Griffiths' approach to the calculus of variations in one independent variable [\textit{P. A. Griffiths}, Exterior differential systems and the calculus of variations. Boston - Basel - Stuttgart: Birkhäuser (1983; Zbl 0512.49003)]. The general theory is illustrated by an example involving critical curves of functionals defined by quadratic polynomials in the centro-affine curvature. This example is developed in detail throughout the paper, culminating in figures showing the critical curves.
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