The Asymptotical Stability of a Dynamic System With Structural Damping

• Autorzy: Hou X.
• 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.

Słowa kluczowe

EN

dynamic systems; evolution equation; asymptotic stability

PL

system dynamiczny; równanie ewolucji; stabilność asymptotyczna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no. 2
• Strony: 131--138
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Hou X.

• Mathematics Department, Towson University Baltimore, Maryland 21252-0001, USA,

Bibliografia

• [1] 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.
• [2] Hou X. and Tsui S.-K. (1999): A mathematical model for flexible robot arms system modelling and optimization, In: Chapman & Hall / CRC Res. Notes Math. — Boca Raton FL: Chapman & Hall / CRC, Vol. 396, pp. 391–398.
• [3] Hou X. and Tsui S.-K. (1998): A control theory for Cartesian flexible robot arms. — J. Math. Anal. Appl., Vol. 225, pp. 265–288.
• [4] 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.
• [5] 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.
• [6] Li S. and Zhu G. (1988): A property of the C0-semigroup corresponding to the slender flying vehicle system with structural damp. — J. Syst. Sci. Math. Sci., Vol. 8, No. 3, pp. 219–225.
• [7] Köhne M. (1978): The control of vibrating elastic systems in control and systems theory. — Distributed parameter systems, Vol. 6, pp. 388–456.
• [8] Pazy A. (1983): Semigroups of Linear Operators and Applications to Partial Differential Equaitons. — New York: Spinger-Verlag.
• [9] Balaskrishnan A.V. (1981): Applied Functional Analysis. — New York: Springer-Verlag.