# Control Theory for Linear Systems

Harry L. Trentelman, Antonie Arij Stoorvogel, Malo Hautus

4 Citations (Scopus)

### Abstract

Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, $H_2$ and $H_\infty$ control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.
Original language Undefined London, UK Springer 389 978-1-85233-316-4 Published - 2001

### Publication series

Name Communications and Control Engineering Springer Verlag Ltd

### Keywords

• H-control theory
• Linear quadratic regulator problem
• IR-68841
• System Theory
• EWI-16619
• Geometric control

## Cite this

Trentelman, H. L., Stoorvogel, A. A., & Hautus, M. (2001). Control Theory for Linear Systems. (Communications and Control Engineering). London, UK: Springer.