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Record W1852951723

以Bellman-Gronwall Inequality判斷雙線性回授控制系統穩定極限循環的存在性

2003· article· zh· W1852951723 on OpenAlexaboutno aff
武德偉, De-Wei Wu

Bibliographic record

Venuenot available
Typearticle
Languagezh
FieldMathematics
TopicAdvanced Differential Equations and Dynamical Systems
Canadian institutionsnot available
Fundersnot available
KeywordsPID controllerBilinear interpolationMathematicsController (irrigation)ChenMathematical economicsPure mathematicsDiscrete mathematicsCalculus (dental)EngineeringMechanical engineering
DOInot available

Abstract

fetched live from OpenAlex

1.Atherton, D. P., Nonlinear control engineering, Van Nostrand Rienhold, London, 1975. 2.Balasubramanian, R., “Limit cycles in systems with single and multiple relays”, In Proc. JACC, San Francisco, FP9-D, 1980. 3.Burnham, K. J., Dunoyer, A., Hibberd, D. F., and Minihan, J. A., “A bilinear controller with PID structure”, Proceeding of the American Control Conference, vol 6, pp. 4363-4367, 1999. 4.Burnham, K. J., Dunoyer, A., and Marcroft, S.,“Bilinear controller with PID structure”, Computing & Control Engineering Journal, vol. 10, pp. 63-69, 1999. 5.Callier, F. M., and Desor, C. A., Linear system theory, Springer-Verlag, New York, 1991. 6.Chen, S. S., Chen, W. H., and Lam, K. S., Lectures on differential geometry, World Scientific, Singapore, 1999. 7.Desoer, C. A., and Vidyasagar, M., Feedback systems:input-output properties, Academic Press, New York, 1975. 8.Kinsey, L. C., Topology of surfaces, Springer-Verlag, New York, 1993. 9.Kuo, B. C., Automatic control systems, Prentice-Hall, Englewood Cliffs, 1995. 10.Mohler, R. R., Bilinear control process, Academic Press, New York, 1973. 11.Oprea, J., Differential geometry and its applications, Prentice Hall, New Jersey, 1991. 12.Palmor, Z. J., “A general and exact method for determining limit cycles in decentralized relay system”, Automatica, vol. 31, pp. 1333-1339, 1995. 13.Rugh, W. J., Linear system theorem, Prentice-Hall, Englewood Cliffs, 1993. 14.Schei, T. S., “A method for close loop automatic tuning of PID controllers”, Automatica, vol. 28, pp. 587-591, 1992. 15.Shinners, S. M., Advanced modern control system theorey and design, Wiley, Canada, 1998. 16.Singer, I. M., and Thorpe, J. A., Lecture notes on elementary topology and geometry, Spring-Verlag, New York, 1967. 17.Slotine, J-J. E., and Li, W., Applied nonlinear control, Prentice-Hall, New York, 1981. 18.Sun, Y. J.,“Prediction of limit cycles in feedback bilinear systems:Lyapunov-like approach”, Proceeding of 2002 National Symposium on Automatic Control, pp. 801-805, 2002. 19.Vidyasagar, M., Nonlinear systems analysis, Prentice-Hall, Englewood Cliffs, 1993. 20.Weinmann, A., Uncertain models and robust control, Springer-Verlag, New York, 1991. 21.Zill, D. G., and Cullen, M. R., Differential equations with boundary-value problem, Brooks/Cole, Singapore, 1997.

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 distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Insufficient payload (model declined to judge)
Consensus categoriesInsufficient payload (model declined to judge)
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.906
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0060.002

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 head0.058
GPT teacher head0.326
Teacher spread0.268 · 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; both teacher heads agree on what is shown here.

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

Citations0
Published2003
Admission routes1
Has abstractyes

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