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The global convergence analysis of a class of nonlinear network systems

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  • Xinjin Liu
  • Yun Zou

Abstract

In this paper, the global convergence for a class of nonlinear network systems with multiple equilibriums was studied, which can be viewed as interconnected systems composed of nonlinear systems through linear input and output interconnections. Frequency-domain conditions were established for global convergence and convergence of bounded solutions. The effects of the input and output interconnections can be studied through a nonsingular inner coupling matrix and nonzero scales, representing the interconnection, which takes values according to the eigenvalues of the nonsingular outer coupling matrix. Then, the design method based on linear matrix inequality was presented by using the KYP Lemma and Schur complement.

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  • Xinjin Liu & Yun Zou, 2014. "The global convergence analysis of a class of nonlinear network systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 970-976, May.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:970-976
    DOI: 10.1080/00207721.2012.743055
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    References listed on IDEAS

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    1. Ching-Hung Lee & Bo-Ren Chung, 2012. "Adaptive backstepping controller design for nonlinear uncertain systems using fuzzy neural systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(10), pages 1855-1869.
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