© 2014

State Space Consistency and Differentiability


Part of the SpringerBriefs in Optimization book series (BRIEFSOPTI)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Demetrios Serakos
    Pages 1-3
  3. Demetrios Serakos
    Pages 5-11
  4. Demetrios Serakos
    Pages 13-21
  5. Demetrios Serakos
    Pages 39-39
  6. Back Matter
    Pages 41-72

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.​ 


Dynamical Input-Output Systems Mechanics of systems State Differentiability State and State Space System and State trajectory

Authors and affiliations

  1. 1.DahlgrenUSA

Bibliographic information