Stability of Viscoelastic Control Systems

IEEE Transactions on Automatic Control

Volumn 33, Issue 4, 1988, Pages 348-357

  Skaar, Steven B ^a   Michel, Anthony N ^b   Miller, Richard K ^a  

^a IOWA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS - ROOT LOCI; MATHEMATICAL TRANSFORMATIONS - LAPLACE TRANSFORMS; SYSTEM STABILITY; VIBRATIONS - ABSORPTION; VISCOELASTICITY;

PARTIAL DIFFERENTIAL EQUATIONS; RITZ APPROXIMATION; ROTATING VISCOELASTIC BEAM; VISCOELASTIC CONTROL SYSTEMS; VISCOELASTIC STRUCTURES;

STRUCTURAL DESIGN;

EID: 0023997891     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.192189     Document Type: Article

References (10)

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3. L. Rogers, “Operators and fractional derivatives for viscoelastic constitutive equations,” J. Rheology, pp. 351-372, 1983.
4. R. L. Bagley and P. J. Torvik, “Fractional calculus-A different approach to the analysis of viscoelastically damped structures,” AIAA J., pp. 741-748, 1983.
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6. D. F. Golla and P. C. Hughes, “Dynamics of viscoelastic structures- A time-domain, finite element formulation,” J. Appl. Mechanics, pp. 897-906, Dec. 1985.
7. R. L. Bagley and P. J. Torvik, “Fractional calculus in the transient analysis of viscoelastically damped structures,” AIAA J., vol. 23, no. 6, pp. 918-925, June 1985.
8. E. P. Popov, Mechanics of Materials. Englewood Cliffs, NJ: Prentice-Hall, 1952.
9. G. Doetsch, Introduction to the Theory and Application of the Laplace Transformation. New York: Springer-Verlag, 1937.
10. R. E. A. C. Paley and N. Wiener, Fourier Transforms in the Complex Domain. Providence, RI: American Mathematic Society, 1934.