State space consistency and differentiability / Demetrios Serakos.

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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Serakos, Demetrios (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2014]
Series:SpringerBriefs in optimization.
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Description
Summary: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.
Physical Description:1 online resource.
Bibliography:Includes bibliographical references.
ISBN:9783319144696
3319144693
3319144685
9783319144689
ISSN:2191-575X.