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2003 | 13 | 2 | 131-138
Tytuł artykułu

The asymptotical stability of a dynamic system uppercasewith structural damping

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
Rocznik
Tom
13
Numer
2
Strony
131-138
Opis fizyczny
Daty
wydano
2003
otrzymano
2002-08-20
poprawiono
2002-12-23
Twórcy
autor
  • Mathematics Department, Towson University, Baltimore, Maryland 212520001, USA
Bibliografia
  • Hou X. and Tsui S.-K. (2000): Control and stability of a torsional elastic robot arm. - J. Math. Anal.Appl., Vol. 243, pp. 140-162.
  • Hou X. and Tsui S.-K. (1999): A mathematical model for flexible robot arms system modelling and optimization, In: Chapman and Hall CRC Res. Notes Math. - Boca Raton FL: Chapman and Hall CRC, Vol. 396, pp. 391-398.
  • Hou X. and Tsui S.-K. (1998): A control theory for Cartesian flexible robot arms. - J. Math. Anal. Appl., Vol. 225, pp. 265-288.
  • Hou X. and Tsui S.-K. (2003): A feedback control and simulation for a flexible robot arm. - J. Appl. Math. Comp., Vol. 142, No. 2-3, pp. 389-407.
  • Komkov V. (1978): Control theory variational principles and optimal design of elastic systems, In: Optimal Control and Differential Equations. - New York: Academic Press, pp. 35-40.
  • Li S. and Zhu G. (1988): A property of the C_0-semigroup corresponding to the slender flying vehicle system with structural damp. - J. Syst. Sci. Math. Sci., Vol. 8, No. 3, pp. 219-225.
  • Kohne M. (1978): The control of vibrating elastic systems in control and systems theory. - Distributed parameter systems, Vol. 6, pp. 388-456.
  • Pazy A. (1983): Semigroups of Linear Operators and Applications to Partial Differential Equaitons. - New York: Spinger-Verlag.
  • Balaskrishnan A.V. (1981): Applied Functional Analysis. -New York: Springer-Verlag.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv13i2p131bwm
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