Abstract
In Chapter 4, we applied the energy multiplier method and frequency domain criteria to determine the exponential stability of linear dynamic systems which generate C0-semigroups on Danach or Hilbert spaces. For systems which satisfy the spectrum-determined growth condition, the exponential stability can be examined by analyzing the spectrum distribution of the systems. One advantage of this method over others is that we are able to know not only whether the systems are exponentially stable, but also the exponential decay rate.
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© 1999 Springer-Verlag London
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Luo, ZH., Guo, BZ., Morgul, O. (1999). Other Applications. In: Stability and Stabilization of Infinite Dimensional Systems with Applications. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0419-3_6
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DOI: https://doi.org/10.1007/978-1-4471-0419-3_6
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1136-8
Online ISBN: 978-1-4471-0419-3
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