Triple

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).

Phrase: small-gain theorem | Statement: [Zames–Falb multipliers, relatedTo, small-gain theorem]

Target entity: small-gain theorem
Context triple: [Zames–Falb multipliers, relatedTo, small-gain theorem]

• A. small-gain theorem chosen
  The small-gain theorem is a fundamental result in control theory that provides a sufficient condition for the stability of feedback interconnections by requiring the product of system gains to be less than one.
• B. 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.
• 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. LaSalle’s invariance principle
  LaSalle’s invariance principle is a fundamental result in dynamical systems theory that extends Lyapunov’s direct method by characterizing the asymptotic behavior of trajectories through invariant sets where a Lyapunov function’s derivative vanishes.
• E. passivity theorem
  The passivity theorem is a fundamental result in control theory that guarantees the stability of interconnected systems by analyzing their energy-dissipating (passive) properties.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.