Theory and Application of the z-Transform Method
E569291
"Theory and Application of the z-Transform Method" is a foundational technical book by Eliahu I. Jury that systematically develops the z-transform as a tool for analyzing and designing discrete-time and digital control systems.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Theory and Application of the z-Transform Method canonical | 1 |
| Z-transform | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6112912 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Theory and Application of the z-Transform Method Context triple: [Eliahu I. Jury, notableWork, Theory and Application of the z-Transform Method]
-
A.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
-
B.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
-
C.
Nyquist stability criterion
The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
-
D.
Lectures in Feedback Design for Multivariable Systems
Lectures in Feedback Design for Multivariable Systems is a technical book by control theorist Alberto Isidori that presents systematic methods for designing feedback controllers for complex multivariable dynamical systems.
-
E.
Carathéodory–Fejér interpolation
Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Theory and Application of the z-Transform Method Target entity description: "Theory and Application of the z-Transform Method" is a foundational technical book by Eliahu I. Jury that systematically develops the z-transform as a tool for analyzing and designing discrete-time and digital control systems.
-
A.
The Fourier Integral and Certain of Its Applications
The Fourier Integral and Certain of Its Applications is a foundational mathematical work by Norbert Wiener that develops and applies Fourier analysis to problems in harmonic analysis and related areas.
-
B.
Kailath factorization in linear systems
Kailath factorization in linear systems is a matrix factorization technique used in control and signal processing to efficiently analyze and solve linear dynamical systems.
-
C.
Nyquist stability criterion
The Nyquist stability criterion is a graphical frequency-domain method in control theory used to determine the stability of feedback systems by analyzing how their open-loop transfer function encircles a critical point in the complex plane.
-
D.
Lectures in Feedback Design for Multivariable Systems
Lectures in Feedback Design for Multivariable Systems is a technical book by control theorist Alberto Isidori that presents systematic methods for designing feedback controllers for complex multivariable dynamical systems.
-
E.
Carathéodory–Fejér interpolation
Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
engineering textbook ⓘ person ⓘ technical book ⓘ |
| appliesMethod |
Jury stability test
ⓘ
inverse z-transform ⓘ region of convergence analysis ⓘ stability criteria in the z-plane ⓘ z-transform ⓘ |
| author | Eliahu I. Jury ⓘ |
| authorInstanceOf | Eliahu I. Jury ⓘ |
| contribution |
link between continuous-time and discrete-time control methods
ⓘ
rigorous treatment of stability in the z-domain ⓘ systematic development of the z-transform method ⓘ unified framework for discrete-time control analysis ⓘ |
| field |
control theory
ⓘ
control theory ⓘ digital signal processing ⓘ systems engineering ⓘ |
| focusesOn |
analysis of discrete-time systems
ⓘ
design of discrete-time control systems ⓘ difference equations ⓘ sampling and reconstruction concepts ⓘ stability analysis in the z-domain ⓘ transfer functions in the z-domain ⓘ |
| hasConcept |
causality in discrete-time systems
ⓘ
difference-equation models of systems ⓘ frequency response in the z-domain ⓘ pole-zero analysis in the z-plane ⓘ realization of digital filters ⓘ stability of linear time-invariant discrete systems ⓘ |
| intendedAudience |
control engineers
ⓘ
graduate students in electrical engineering ⓘ researchers in digital control ⓘ |
| knownFor |
Jury stability test
ⓘ
linked to:
Jury test
contributions to discrete-time control ⓘ |
| language | English ⓘ |
| mainSubject |
digital control systems
ⓘ
discrete-time systems ⓘ z-transform ⓘ |
| typeOfWork | foundational reference in digital control ⓘ |
| usedFor |
analysis of sampled-data systems
ⓘ
design of digital control systems ⓘ teaching advanced control theory ⓘ |
| usedIn |
courses on digital control
ⓘ
courses on discrete-time signal processing ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Theory and Application of the z-Transform Method Description of subject: "Theory and Application of the z-Transform Method" is a foundational technical book by Eliahu I. Jury that systematically develops the z-transform as a tool for analyzing and designing discrete-time and digital control systems.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Theory and Application of the z-Transform Method