Skip to main content
SpringerLink
Log in

State Space and Input-Output Linear Systems

  • Book
  • © 1988

Overview

Authors:
  1. David F. Delchamps

    1. School of Electrical Engineering, Cornell University, Ithaca, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (28 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    1. Introduction

      • David F. Delchamps
      Pages 1-9

  3. Mathematical Preliminaries

    1. Front Matter

      Pages 11-11
      Download chapter PDF

    2. Some Linear Algebra

      • David F. Delchamps
      Pages 11-31

    3. Linear Differential Equations: Existence and Uniqueness Theorems

      • David F. Delchamps
      Pages 31-49

    4. Linear Difference Equations

      • David F. Delchamps
      Pages 50-51

    5. Some More Linear Algebra

      • David F. Delchamps
      Pages 52-72

    6. DuaL Spaces, Norms, and Inner Products

      • David F. Delchamps
      Pages 73-88

  4. State Space Linear Systems

    1. Front Matter

      Pages 89-89
      Download chapter PDF

    2. State Space Linear Systems: Formal Definitions and General Properties

      • David F. Delchamps
      Pages 89-103

    3. Realizations

      • David F. Delchamps
      Pages 104-113

    4. Eigenvectors, Eigenvalues, and Normal Modes

      • David F. Delchamps
      Pages 114-131

    5. The M + N Decomposition for Matrices Which Are Not Semi-Simple

      • David F. Delchamps
      Pages 132-144

    6. Complex Matrices and the Unitary Diagonalizabity of Hermitian Matrices

      • David F. Delchamps
      Pages 145-149

    7. Nilpotent Matrices and the Jordan Canonical Form

      • David F. Delchamps
      Pages 150-161

    8. Positive Definiteness, Matrix Factorization, and an Imperfect Analogy

      • David F. Delchamps
      Pages 162-175

    9. Reachability and Controllability for Time-Invariant Continuous-Time Systems

      • David F. Delchamps
      Pages 176-186

    10. Reachability and Controllability for Time-Invariant Discrete-Time Systems

      • David F. Delchamps
      Pages 187-194

    11. Observability for Time-Invariant Continuous-Time Systems

      • David F. Delchamps
      Pages 195-201

    12. Observability and Constructibility for Time-Invariant Discrete-Time Systems

      • David F. Delchamps
      Pages 202-207
Back to top

Keywords

About this book

It is difficult for me to forget the mild sense of betrayal I felt some ten years ago when I discovered, with considerable dismay, that my two favorite books on linear system theory - Desoer's Notes for a Second Course on Linear Systems and Brockett's Finite Dimensional Linear Systems - were both out of print. Since that time, of course, linear system theory has undergone a transformation of the sort which always attends the maturation of a theory whose range of applicability is expanding in a fashion governed by technological developments and by the rate at which such advances become a part of engineering practice. The growth of the field has inspired the publication of some excellent books; the encyclopedic treatises by Kailath and Chen, in particular, come immediately to mind. Nonetheless, I was inspired to write this book primarily by my practical needs as a teacher and researcher in the field. For the past five years, I have taught a one semester first year gradu­ ate level linear system theory course in the School of Electrical Engineering at Cornell. The members of the class have always come from a variety of departments and backgrounds, and con­ sequently have entered the class with levels of preparation ranging from first year calculus and a taste of transform theory on the one extreme to senior level real analysis and abstract algebra on the other.

Authors and Affiliations

  • School of Electrical Engineering, Cornell University, Ithaca, USA

    David F. Delchamps

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation