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Record W1999007650 · doi:10.5539/jmr.v2n1p116

Augmented Lyapunov Method for BIBO Stabilization of Discrete System

2010· article· en· W1999007650 on OpenAlexvenueno aff
Zixin Liu, Shu Lv, Shouming Zhong

Bibliographic record

VenueJournal of Mathematics Research · 2010
Typearticle
Languageen
FieldEngineering
TopicStability and Control of Uncertain Systems
Canadian institutionsnot available
FundersProgram for New Century Excellent Talents in University
KeywordsBIBO stabilityMathematicsLyapunov functionControl theory (sociology)MATLABBounded functionToolboxAperiodic graphFunction (biology)Applied mathematicsComputer scienceNonlinear systemMathematical analysisControl (management)Artificial intelligenceCombinatorics

Abstract

fetched live from OpenAlex

The problem of bounded-input bounded-output (BIBO) stabilization for discrete-time uncertain system with time delayis investigated. By constructing an augmented Lyapunov function, some sucient conditions guaranteeing BIBO stabilizationand robust BIBO stabilization are established. These conditions are expressed in the forms of linear matrixinequalities (LMIs), whose feasibility can be easily checked by using Matlab LMI Toolbox. Two numerical examples areprovided to demonstrate the e ectiveness of the derived results.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.003
Threshold uncertainty score0.010

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0010.000
Open science0.0010.001
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0030.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.054
GPT teacher head0.387
Teacher spread0.334 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations3
Published2010
Admission routes1
Has abstractyes

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