Triple

T6257838
Position Surface form Disambiguated ID Type / Status
Subject George Zames E140216 entity
Predicate notableConcept P201 FINISHED
Object Zames–Falb multipliers
Zames–Falb multipliers are a class of frequency-domain operators used in control theory to analyze and guarantee the stability of nonlinear and time-varying feedback systems.
E580592 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: Zames–Falb multipliers | Statement: [George Zames, notableConcept, Zames–Falb multipliers]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Zames–Falb multipliers
Context triple: [George Zames, notableConcept, Zames–Falb multipliers]
  • A. 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.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • 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: Zames–Falb multipliers
Triple: [George Zames, notableConcept, Zames–Falb multipliers]
Generated description
Zames–Falb multipliers are a class of frequency-domain operators used in control theory to analyze and guarantee the stability of nonlinear and time-varying feedback systems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Zames–Falb multipliers
Target entity description: Zames–Falb multipliers are a class of frequency-domain operators used in control theory to analyze and guarantee the stability of nonlinear and time-varying feedback systems.
  • A. 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.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. Inners and Stability of Dynamic Systems
    "Inners and Stability of Dynamic Systems" is a seminal work in control theory by Eliahu I. Jury that analyzes the role of inner functions in determining the stability properties of dynamic systems.
  • 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_69c008c95c5c819084bd3dd56133d84d completed March 22, 2026, 3:20 p.m.
NER Named-entity recognition batch_69c06366baa481908d59428cceabbe46 completed March 22, 2026, 9:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69c2443f0cb88190a32968fce0214045 completed March 24, 2026, 7:58 a.m.
NEDg Description generation batch_69c2471a08448190bb8d61f20403d44b completed March 24, 2026, 8:11 a.m.
NED2 Entity disambiguation (via description) batch_69c4fb839b2481909caa57f34a8837db completed March 26, 2026, 9:25 a.m.
Created at: March 22, 2026, 4:24 p.m.