Triple

T4539861
Position Surface form Disambiguated ID Type / Status
Subject Stephen P. Boyd E107500 entity
Predicate notableWork P4 FINISHED
Object 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.
E451068 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: Linear Matrix Inequalities in System and Control Theory | Statement: [Stephen P. Boyd, notableWork, Linear Matrix Inequalities in System and Control Theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Linear Matrix Inequalities in System and Control Theory
Context triple: [Stephen P. Boyd, notableWork, Linear Matrix Inequalities in System and Control Theory]
  • A. 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.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. Introduction to Stochastic Control Theory
    Introduction to Stochastic Control Theory is a foundational textbook that systematically develops the theory and methods for controlling dynamical systems under uncertainty using probabilistic and stochastic-process tools.
  • 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: Linear Matrix Inequalities in System and Control Theory
Triple: [Stephen P. Boyd, notableWork, Linear Matrix Inequalities in System and Control Theory]
Generated description
"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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Linear Matrix Inequalities in System and Control Theory
Target entity description: "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.
  • A. 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.
  • B. 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.
  • C. 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.
  • D. 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.
  • E. Introduction to Stochastic Control Theory
    Introduction to Stochastic Control Theory is a foundational textbook that systematically develops the theory and methods for controlling dynamical systems under uncertainty using probabilistic and stochastic-process tools.
  • 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_69bd43f922788190b7edfa294e39b178 completed March 20, 2026, 12:56 p.m.
NER Named-entity recognition batch_69bd57bb5c0c819092ebb2dd3310f5f8 completed March 20, 2026, 2:20 p.m.
NED1 Entity disambiguation (via context triple) batch_69bdacfff41481908a5c97ab4fcb9259 completed March 20, 2026, 8:24 p.m.
NEDg Description generation batch_69bdb32911cc8190a8624d54dad6355e completed March 20, 2026, 8:50 p.m.
NED2 Entity disambiguation (via description) batch_69bdb3a0bf908190b9a029f47e6be941 completed March 20, 2026, 8:52 p.m.
Created at: March 20, 2026, 1:04 p.m.