Linear Systems
E150232
"Linear Systems" is a highly influential graduate-level textbook by Thomas Kailath that rigorously develops the theory and applications of linear system analysis and control.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Linear Systems canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1311615 — 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: Linear Systems Context triple: [Thomas Kailath, notableWork, Linear Systems]
-
A.
LinearAlgebra
LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
-
B.
Gaussian elimination
Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
-
C.
System1
System1 is a digital marketing and customer acquisition company specializing in data-driven advertising and online performance-based media.
-
D.
Matrix
Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
-
E.
Matrix
The Matrix is a vast, sentient data repository and virtual reality construct on Gallifrey that stores the knowledge, memories, and consciousness of Time Lords in the Doctor Who universe.
- 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: Linear Systems Target entity description: "Linear Systems" is a highly influential graduate-level textbook by Thomas Kailath that rigorously develops the theory and applications of linear system analysis and control.
-
A.
LinearAlgebra
LinearAlgebra is Julia’s standard library module providing core functionality for vectors, matrices, and advanced linear algebra operations.
-
B.
Gaussian elimination
Gaussian elimination is a fundamental algorithm in linear algebra used to solve systems of linear equations by systematically transforming matrices into row-echelon form.
-
C.
System1
System1 is a digital marketing and customer acquisition company specializing in data-driven advertising and online performance-based media.
-
D.
Matrix
Matrix is a professional haircare and hair color brand widely used in salons and owned by the cosmetics company L'Oréal.
-
E.
Matrix
The Matrix is a vast, sentient data repository and virtual reality construct on Gallifrey that stores the knowledge, memories, and consciousness of Time Lords in the Doctor Who universe.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
engineering textbook
ⓘ
graduate-level textbook ⓘ textbook ⓘ |
| academicDiscipline |
applied mathematics
ⓘ
control engineering ⓘ electrical engineering ⓘ |
| author | Thomas Kailath ⓘ |
| educationalLevel | graduate ⓘ |
| field |
control theory
ⓘ
linear systems theory ⓘ systems and control ⓘ |
| hasFormat |
hardcover
ⓘ
paperback ⓘ print ⓘ |
| intendedAudience |
applied mathematicians
ⓘ
electrical engineers ⓘ graduate students ⓘ researchers in control theory ⓘ |
| language | English ⓘ |
| notableFor |
influence on modern control theory education
ⓘ
rigorous development of linear system theory ⓘ |
| topic |
Kalman decomposition
ⓘ
Lyapunov stability ⓘ
linked to:
Lyapunov stability theory
canonical forms of linear systems ⓘ continuous-time linear systems ⓘ controllability ⓘ discrete-time linear systems ⓘ feedback control ⓘ frequency-domain analysis ⓘ input-output descriptions ⓘ linear operators ⓘ linear system identification ⓘ linear time-invariant systems ⓘ matrix theory for systems ⓘ minimal realizations ⓘ observability ⓘ polynomial system representations ⓘ realization theory ⓘ signal spaces ⓘ stability of linear systems ⓘ state transition matrix ⓘ state-space analysis ⓘ time-domain analysis ⓘ transfer functions ⓘ |
| usedAs | graduate course textbook ⓘ |
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: Linear Systems Description of subject: "Linear Systems" is a highly influential graduate-level textbook by Thomas Kailath that rigorously develops the theory and applications of linear system analysis and control.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.