Skip to main content
SpringerLink
Log in
Book cover

State Space Consistency and Differentiability

  • Book
  • © 2014

Overview

Authors:
  1. Demetrios Serakos

    1. Dahlgren, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Presents an analysis of input-output systems with regard to the concept of state
  • Developed results are useful aids for understanding modeling of physical systems
  • Includes conditions for identifying the system from its natural state set
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Optimization (BRIEFSOPTI)

  • 3054 Accesses

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
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 (5 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Demetrios Serakos
    Pages 1-3

  3. Preliminaries

    • Demetrios Serakos
    Pages 5-11

  4. Some State Space Properties

    • Demetrios Serakos
    Pages 13-21

  5. State Differentiability Properties in Input–Output Systems

    • Demetrios Serakos
    Pages 23-38

  6. Summary and Conclusions

    • Demetrios Serakos
    Pages 39-39

  7. Back Matter

    Pages 41-72
    Download chapter PDF
Back to top

Keywords

About this book

​By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system from its natural state set and the second deals with differentiability properties involving the natural state inherited from the input-output system, including differentiability of the natural state and natural state trajectories. The results presented in this title aid in modeling physical systems since system identification from a state set holds in most models. Researchers and engineers working in electrical, aerospace, mechanical, and chemical fields along with applied mathematicians working in systems or differential equations will find this title useful due to its rigorous mathematics.​ 

Authors and Affiliations

  • Dahlgren, USA

    Demetrios Serakos

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation