This book introduces and surveys bilinear control systems theory from a mathematical viewpoint. The exposition is at the first-year graduate level. Topics include an introduction to Lie algebras, matrix groups and semigroups; the controllability, stabilization, and observability of bilinear systems; nonlinear systems analytically equivalent to bilinear systems; series representations for input-outputmappings; and random inputs. To assist the reader there are exercises; Mathematica scripts; and appendices on matrix analysis, differentiable maps and manifolds, Lie algebra, and Lie groups. No other comprehensive surveyof Bilinear Control Systems is available INDICE: 1. Introduction.- 2. Lie Algebras, Lie Groups.- 3. Systems in Drift.- 4. Discrete Time Bilinear Systems.- 5. Systems with Outputs.- 6. Examples.- 7. Linearization.- 8. Input Structures.- A. Matrix Algebra.- B. Lie Algebrasand Groups.- C. Algebraic Geometry.- D. Transitive Lie Algebras.- References.- Index.
- ISBN: 978-1-4020-9612-9
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 281
- Fecha Publicación: 01/04/2009
- Nº Volúmenes: 1
- Idioma: Inglés