Stability of Linear Systems
E569293
"Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Stability of Linear Systems canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6112914 — 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: Stability of Linear Systems Context triple: [Eliahu I. Jury, notableWork, Stability of Linear Systems]
-
A.
Lyapunov stability theory
Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
-
B.
Routh–Hurwitz stability criterion
The Routh–Hurwitz stability criterion is a mathematical test in control theory that determines whether all roots of a system’s characteristic polynomial lie in the left half of the complex plane, ensuring system stability without explicitly computing the roots.
-
C.
Nonlinear Control Systems
Nonlinear Control Systems is a foundational textbook by Alberto Isidori that systematically develops the theory and design methods for controlling nonlinear dynamical systems.
-
D.
Linear Matrix Inequalities in System and Control Theory
"Linear Matrix Inequalities in System and Control Theory" is a foundational monograph that systematically develops the theory and applications of linear matrix inequalities for analysis and design in modern control engineering.
-
E.
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.
- 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: Stability of Linear Systems Target entity description: "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
-
A.
Lyapunov stability theory
Lyapunov stability theory is a fundamental framework in dynamical systems and control theory that uses energy-like functions to assess the stability of equilibrium points without explicitly solving differential equations.
-
B.
Routh–Hurwitz stability criterion
The Routh–Hurwitz stability criterion is a mathematical test in control theory that determines whether all roots of a system’s characteristic polynomial lie in the left half of the complex plane, ensuring system stability without explicitly computing the roots.
-
C.
Nonlinear Control Systems
Nonlinear Control Systems is a foundational textbook by Alberto Isidori that systematically develops the theory and design methods for controlling nonlinear dynamical systems.
-
D.
Linear Matrix Inequalities in System and Control Theory
"Linear Matrix Inequalities in System and Control Theory" is a foundational monograph that systematically develops the theory and applications of linear matrix inequalities for analysis and design in modern control engineering.
-
E.
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.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf | book ⓘ |
| author | Eliahu I. Jury ⓘ |
| contribution |
formalization of the Jury stability test for discrete-time systems
ⓘ
systematic development of stability criteria for linear systems ⓘ |
| educationalUse |
graduate-level textbook
ⓘ
reference book for engineers ⓘ |
| field |
control theory
ⓘ
linear systems theory ⓘ systems and control engineering ⓘ |
| focus |
algebraic tests for stability
ⓘ
criteria for determining stability of linear systems ⓘ practical stability tests for engineers ⓘ relationship between polynomial coefficients and root locations ⓘ |
| hasAuthorNationality | Israeli-American ⓘ |
| intendedAudience |
control engineers
ⓘ
electrical engineers ⓘ graduate students in control theory ⓘ |
| language | English ⓘ |
| publisher |
Prentice-Hall
ⓘ
linked to:
Prentice Hall
|
| topic |
Jury stability test
ⓘ
linked to:
Jury test
Lyapunov stability ⓘ
linked to:
Lyapunov stability theory
Routh–Hurwitz criterion ⓘ
linked to:
Routh–Hurwitz stability criterion
asymptotic stability ⓘ bounded-input bounded-output stability ⓘ characteristic equations ⓘ continuous-time systems ⓘ difference equations ⓘ digital control systems ⓘ discrete-time systems ⓘ feedback control systems ⓘ frequency-domain methods ⓘ linear dynamical systems ⓘ marginal stability ⓘ polynomial stability criteria ⓘ root location in the complex plane ⓘ stability analysis ⓘ state-space methods ⓘ time-domain methods ⓘ |
| usedIn |
courses on digital control
ⓘ
courses on stability theory ⓘ university courses on linear systems ⓘ |
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: Stability of Linear Systems Description of subject: "Stability of Linear Systems" is a foundational book by Eliahu I. Jury that systematically develops the theory and criteria for determining the stability of linear dynamical and control systems.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.