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Mathematical Methods for Robust and Nonlinear Control pp 195–219Cite as

Stability and Asymptotic Behaviour of Nonlinear Systems: An Introduction

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 367))

Abstract

To motivate a study of asymptotic behaviour of nonlinear systems modelled by ordinary differential equations and differential inclusions, we indicate how such equations/inclusions arise naturally in control of dynamical process by feedback. The concept of control pertains to modifying the behaviour of the process, by manipulation of inputs to the process, in order to achieve some prescribed goal. Fundamental to this is the notion of feedback: a strategy in which the inputs to the process are determined on the basis of concurrent observations on (or outputs from) the process.

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Authors and Affiliations

  1. Mathematical Sciences, University of Bath, Bath, BA2 7AY,  

    Hartmut Logemann & Eugene P. Ryan

Authors
  1. Hartmut Logemann
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  2. Eugene P. Ryan
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Matthew C. Turner Declan G. Bates

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Logemann, H., Ryan, E.P. (2007). Stability and Asymptotic Behaviour of Nonlinear Systems: An Introduction. In: Turner, M.C., Bates, D.G. (eds) Mathematical Methods for Robust and Nonlinear Control. Lecture Notes in Control and Information Sciences, vol 367. Springer, London. https://doi.org/10.1007/978-1-84800-025-4_7

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  • DOI: https://doi.org/10.1007/978-1-84800-025-4_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-024-7

  • Online ISBN: 978-1-84800-025-4

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