The Electrical Engineering Handbook

1

Algebraic Topics in Control

Cheryl B. Schrader,     College of Engineering, Boise State University, Boise, Idaho, USA

1.1. Introduction

1.2. Vector Spaces Over Fields and Modules Over Rings

1.3. Matrices and Matrix Algebra

1.3.1. Standard Matrix Notions and Examples

1.4. Square Matrix Functions: Determinants and Inverses

1.4.1. Determinants

1.4.2. Inverses

1.5. The Algebra of Polynomials

1.6. Characteristic and Singular Values

1.6.1. Characteristic Values

1.6.2. Singular Values

1.7. Nonassociative Algebras

1.8. Biosystems Applications

References

1.1 Introduction

Control engineers often are referred to as mathematicians in disguise. Indeed, a firm foundation in mathematics is essential for success in the control arena. ...