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access icon free Robustness analysis of global exponential stability of non-linear systems with time delays and neutral terms

  • Author(s): Yi Shen 1  and  Jun Wang 2, 3
    • View affiliations
    • Affiliations: 1: School of Automation and the Key Laboratory of Ministry of Education for Image Processing and Intelligent Control, Huazhong University of Science and Technology, Wuhan, Hubei 430074, People's Republic of China;
      2: Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong;
      3: School of Control Science and Engineering, Dalian University of Technology, Dalian, Liaoning 116023, People's Republic of China
  • Source: Volume 7, Issue 9, 13 June 2013, p. 1227 – 1232
    DOI:  10.1049/iet-cta.2012.0781 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 03/10/2012, Accepted 03/03/2013, Revised 17/02/2013, Published

The global stability of non-linear dynamical systems has been investigated extensively in recent decades. It is well known that time delay and neutral term could derail the stability of non-linear systems. This study presents new results on the robustness of the global exponential stability of non-linear systems with respect to time delay and neutral term. Given globally exponentially stable non-linear systems, the problems to be addressed herein are how much time delay and neutral term contraction coefficient are allowed so that the non-linear systems can remain to be globally exponentially stable, in the presence of time delay and neutral term. Upper bounds of allowable time delay and neutral term contraction coefficient will be derived for non-linear systems to sustain their global exponential stability. A numerical example is provided to illustrate the results.

Inspec keywords: robust control; nonlinear dynamical systems; delays; asymptotic stability

Other keywords: global exponential stability; time delay; neutral term contraction coefficient; nonlinear dynamical system; robustness analysis; upper bound

Subjects: Nonlinear control systems; Distributed parameter control systems; Stability in control theory

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