Triple

T6112914
Position Surface form Disambiguated ID Type / Status
Subject Eliahu I. Jury E136288 entity
Predicate notableWork P4 FINISHED
Object Stability of Linear Systems
"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.
E569293 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Stability of Linear Systems | Statement: [Eliahu I. Jury, notableWork, Stability of Linear Systems]
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.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Stability of Linear Systems
Triple: [Eliahu I. Jury, notableWork, Stability of Linear Systems]
Generated 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.
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

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69c0089ea6f88190b349be53e04b4f5f completed March 22, 2026, 3:19 p.m.
NER Named-entity recognition batch_69c05bbde2048190909aa3a8097bcf93 completed March 22, 2026, 9:14 p.m.
NED1 Entity disambiguation (via context triple) batch_69c125631e008190921206b9e355202b completed March 23, 2026, 11:34 a.m.
NEDg Description generation batch_69c1281a40a0819083e1ed6fe5433016 completed March 23, 2026, 11:46 a.m.
NED2 Entity disambiguation (via description) batch_69c12891264c81908eec332350863b4a completed March 23, 2026, 11:48 a.m.
Created at: March 22, 2026, 4:14 p.m.