Bilinear Control Systems Matrices in Action /

• Main Author: Elliott, David. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Dordrecht : Springer Netherlands, 2009.
• Series: Applied Mathematical Sciences, 169
• Subjects: Mathematics.; Algebra > Data processing.; Matrix theory.; Topological Groups.; Systems theory.; Systems Theory, Control.; Linear and Multilinear Algebras, Matrix Theory.; Topological Groups, Lie Groups.; Symbolic and Algebraic Manipulation.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1023/b101451

A control system is called bilinear if it is described by linear differential equations in which the control inputs appear as coefficients. The study of bilinear control systems began in the 1960s and has since developed into a fascinating field, vital for the solution of many challenging practical...

Table of Contents:

• 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 Algebras and Groups
• C. Algebraic Geometry
• D. Transitive Lie Algebras
• References
• Index.