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A Review on estimation of stability region for nonlinear systems

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  • Mathiyalagan, K.
  • Vignesh, A.

Abstract

The estimation of stability region for nonlinear systems are evolved into a significant research topic of literature with a variety of perspectives during the few decades. The purpose of this article is to provide a comprehensive review of the research carried out on the stability region of nonlinear systems including deterministic and stochastic systems. The methodologies for computation of stability region of nonlinear systems are briefly described and also some features, advantages and drawbacks of the proposed methods are detailed. Since stability region of nonlinear systems are important in practice, a survey of the results on stability region of nonlinear systems are useful for the researchers. Furthermore, a thorough review of around 252 articles published from 1960 to 2025 are discussed with bibliometric analysis. Finally, concluding remarks and some future directions on stability region analysis of nonlinear systems are given.

Suggested Citation

  • Mathiyalagan, K. & Vignesh, A., 2026. "A Review on estimation of stability region for nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 516(C).
    • Handle: RePEc:eee:apmaco:v:516:y:2026:i:c:s0096300325005703
    DOI: 10.1016/j.amc.2025.129845
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    References listed on IDEAS

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