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3. Exponential stability of perturbed superstable systems in Hilbert spaces.

Author

Chen, Jian-Hua, Yi, Nian-Yu, and Li, Yong-Yao

Subjects
*EXPONENTIAL stability, *PERTURBATION theory, *HILBERT space, *EXPONENTIAL functions, *COMPUTER simulation
Abstract

We study exponential stability of superstable systems in Hilbert spaces under perturbations. Formulas to calculate or to estimate the exponential growth bound of the perturbed systems are derived via which sufficient conditions on exponential stability are established. The obtained results are applied to a partial differential equation governing the vibration of a smart beam made of self-straining material. Several numerical simulations are given. [ABSTRACT FROM AUTHOR]

Published
2018
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