New criteria for exponential stability of nonlinear time-varying differential systems

Authors

  • Pham Huu Anh Ngoc

    Corresponding author
    1. International University, Vietnam National University-HCMC, Thu Duc, Ho Chi Minh City, Vietnam
    • Correspondence to: Pham Huu Anh Ngoc, International University, Vietnam National University-HCMC, Thu Duc, Ho Chi Minh City, Vietnam.

      E-mail: phangoc@hcmiu.edu.vn

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SUMMARY

General nonlinear time-varying differential systems are considered. An explicit criterion for exponential stability is presented. Furthermore, an explicit robust stability bound for systems subjected to nonlinear time-varying perturbations is given. In particular, it is shown that the generalized Aizerman conjecture holds for positive linear systems. Some examples are given to illustrate obtained results.Copyright © 2012 John Wiley & Sons, Ltd.

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