The Mathematics of Networks of Linear Systems

• Main Authors: Fuhrmann, Paul A. (Author), Helmke, Uwe (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Universitext,
• Subjects: Mathematics.; Matrix theory.; Algebra.; System theory.; Control engineering.; Linear and Multilinear Algebras, Matrix Theory.; Systems Theory, Control.; Control.

This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The p...

Table of Contents:

• Introduction.-Rings and Modules of Polynomials
• Functional Models and Shift Spaces
• Linear Systems
• Tensor Products, Bezoutians and Stability.-State Feedback and Output Injection.-Observer Theory
• Nonnegative Matrices and Graph Theory
• Interconnected Systems.-Control of Standard Interconnections
• Synchronization and Consensus
• Control of Ensembles
• References
• Index.