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Published in:
Basic Concepts in Signals and Systems Read chapter Read first chapter

2018 | OriginalPaper | Chapter

3. State Variables—Part I

Author : Suhash Chandra Dutta Roy

Published in: Circuits, Systems and Signal Processing

Publisher: Springer Singapore

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Abstract

Here, we introduce state variables, which were the hot topics in the middle of 1960s. Later, they have seeped into and made deep impact on signals and systems, circuit theory, controls, etc. You better get familiar with them and make friends with them as early as possible.

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previous chapter The Mysterious Impulse Function and its Mysteries
next chapter State Variables—Part II
Footnotes
1
Note that the symbol u(t) is usually reserved for the unit step function. We have used u(t) to denote the excitation function for conformity with the control literature. We shall use the symbol μ(t) for the unit step function when the occasion arises.
 
2
A cut-set is a set of branches, which, when removed, splits the network into two unconnected parts.
 
3
The symbol y (k) stands for the kth derivative of y with respect to t.
 
Literature
1.
E.S. Kuh, R.A. Rohrer, The state variable approach to network theory, in Proc IRE, vol 53 (July 1965), pp. 672–686
2.
R.J. Schwartz, B. Friedland, Linear Systems (McGraw Hill, 1965)
Metadata
Title
State Variables—Part I
Author
Suhash Chandra Dutta Roy
Copyright Year
2018
Publisher
Springer Singapore
Book
Circuits, Systems and Signal Processing

Print ISBN: 978-981-10-6918-5

Electronic ISBN: 978-981-10-6919-2

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-6919-2_3