| Title:
|
Model reduction methods for chaotic systems (English) |
| Author:
|
Hartley, Tom T. |
| Author:
|
Qammar, Helen K. |
| Author:
|
Murphy, Larry D. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
5 |
| Year:
|
1993 |
| Pages:
|
455-468 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
34C20 |
| MSC:
|
34H05 |
| MSC:
|
37-99 |
| MSC:
|
37D45 |
| MSC:
|
93A30 |
| MSC:
|
93C10 |
| idZBL:
|
Zbl 0809.34059 |
| idMR:
|
MR1264878 |
| . |
| Date available:
|
2009-09-24T18:42:39Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124537 |
| . |
| Reference:
|
[1] H. D. I. Abarbanel, R. Brown, al.: Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra.Phys. Rev. A 41 (1990), 4, 1782-1807. MR 1041513 |
| Reference:
|
[2] B. D. O. Anderson, J. B. Moore: Optimal Control.Prentice Hall, Englewood-Cliffs, N.J. 1990. Zbl 0751.49013 |
| Reference:
|
[3] P. Berge Y. Pomeau, C. Vidal: Order Within Chaos.Wiley, New York 1984. MR 0882723 |
| Reference:
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[4] P. A. Cook: Nonlinear Dynamical Systems.Prentice-Hall, Englewood-Cliffs, N. J. 1986. Zbl 0588.93001, MR 0862290 |
| Reference:
|
[5] F. E. C. Cullic W. H. Lin C. C. Jahnke, J. D. Sterling: Modeling for active control of combustion and thermally driven oscillations.In: Proc. 1991 Americal Control Conference, Boston 1991. |
| Reference:
|
[6] J. C. Doyle B. A. Francis, A. B. Tannenbaum: Feedback Control Theory.McMillan, New York 1992. |
| Reference:
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[7] V. Franceschini: Bifurcation of tori and phase loocking in a dissipative system of differential equations.Physica 6D (1983), 285-304. MR 0709391 |
| Reference:
|
[8] B. Friedland: Control System Design.McGraw-Hill, New York 1986. Zbl 0925.93002 |
| Reference:
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[9] R. Genesio, A. Tesi: Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems.Automatica (1992), to appear. Zbl 0765.93030, MR 1166315 |
| Reference:
|
[10] J. Guckenheimer, P. Holmes: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields.Springer-Verlag, New York 1983. Zbl 0515.34001, MR 0709768 |
| Reference:
|
[11] T. T. Hartley H. K. Qammar J. A. De Abreu-Garcia, N. Abu Khamseh: Analysis and reduction of an infinite dimensional chaotic system.In: Proc. of 33rd Midwest Symposium on Circuits and Systems, Calgary 1990, pp. 889-893. |
| Reference:
|
[12] T. T. Hartley, F. Mossayebi: Control of Chua's system.J. Circuits, Systems, and Computers (1993), to appear. MR 1231457 |
| Reference:
|
[13] J. S. Lai, J. C. Hung: Practical model reduction methods for control and instrumentation.IEEE Trans. Ind. Elect. IE-34 (1985), 1, 70-77. |
| Reference:
|
[14] P. V. Kokotovic, H. K. Khalil: Singular Perturbations in Systems and Control.IEEE Press, New York 1986. MR 0950486 |
| Reference:
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[15] B. J. Kuo: Automatic Control Systems.Prentice-Hall, Englewood-Cliffs, N. J. 1991. |
| Reference:
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[16] E. N. Lorenz: Deterministic nonperiodie flow.J. Atmos. Sci. 20(1963), 130-141. |
| Reference:
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[17] J. M. Maciejowski: Multivariable Feedback Design.Addison-Wesley, Wokingham 1989. Zbl 0691.93001 |
| Reference:
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[18] F. E. McCaughan: Bifurcation analysis of axial flow compressor stability.SIAM J. Appl. Math. 50 (1990), 5, 1232-1253. Zbl 0716.58022, MR 1061348 |
| Reference:
|
[19] W. C. Merrill E. C. Beattie R. F. LaPrad S. M. Rock, M. M. Akhter: HYTESS - A Hypothetical Turbofan Engine Simulation.NASA TM 83561, 1984. |
| Reference:
|
[20] F. Mossayebi T.T. Hartley, J. A. De Abreu-Garcia: A fundamental theorem for the model reduction of nonlinear systems.J. Franklin Inst. 329 (1992), 1, 145-154. MR 1140892 |
| Reference:
|
[21] J. D. Sterling: Characterization and modeling of aperiodic pressure oscillations in combustion chambers.AI9AA Paper 91-2082. In: 27 Joint Propulsion Conference, Sacramento 1991. |
| . |
