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[Download] ~ Exponential Stability of Linear Non-Autonomous Systems (Report) ~ by K. Ratchagit ~ eBook PDF Kindle ePub Free

Exponential Stability of Linear Non-Autonomous Systems (Report)

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eBook details

  • Title: Exponential Stability of Linear Non-Autonomous Systems (Report)
  • Author : K. Ratchagit
  • Release Date : January 01, 2010
  • Genre: Economics,Books,Business & Personal Finance,Professional & Technical,Engineering,
  • Pages : * pages
  • Size : 64 KB

Description

[section]1. Introduction The topic of Lyapunov stability of linear systems has been an interesting research area in the past decades. An integral part of the stability analysis of differential equations is the existence of inherent time delays. Time delays are frequently encountered in many physical and chemical processes as well as in the models of hereditary systems, Lotka- Volterra systems, control of the growth of global economy, control of epidemics, etc. Therefore, the stability problem of time-delay systems has been received considerable attention from many researchers (see e.g. [5, 6, 10, 12,14] and references therein). One of the extended stability properties is the concept of the [alpha]-stability, which relates to the exponential stability with a convergent rate [alpha] > 0. Namely, a retarded system


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