Book contents
- Frontmatter
- Contents
- Introduction
- Acknowledgments
- Part one Reachable sets and controllability
- Part two Optimal control theory
- 7 Linear systems with quadratic costs
- 8 The Riccati equation and quadratic systems
- 9 Singular linear quadratic problems
- 10 Time-optimal problems and Fuller's phenomenon
- 11 The maximum principle
- 12 Optimal problems on Lie groups
- 13 Symmetry, integrability, and the Hamilton-Jacobi theory
- 14 Integrable Hamiltonian systems on Lie groups: the elastic problem, its non-Euclidean analogues, and the rolling-sphere problem
- References
- Index
8 - The Riccati equation and quadratic systems
Published online by Cambridge University Press: 07 October 2009
Book contents
- Frontmatter
- Contents
- Introduction
- Acknowledgments
- Part one Reachable sets and controllability
- Part two Optimal control theory
- 7 Linear systems with quadratic costs
- 8 The Riccati equation and quadratic systems
- 9 Singular linear quadratic problems
- 10 Time-optimal problems and Fuller's phenomenon
- 11 The maximum principle
- 12 Optimal problems on Lie groups
- 13 Symmetry, integrability, and the Hamilton-Jacobi theory
- 14 Integrable Hamiltonian systems on Lie groups: the elastic problem, its non-Euclidean analogues, and the rolling-sphere problem
- References
- Index
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- Geometric Control Theory , pp. 228 - 258Publisher: Cambridge University PressPrint publication year: 1996