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Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems

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  • Nai-feng Gan
  • Yu-feng LU
  • Ting Gong

Abstract

The concepts of stabilization with internal loop are analyzed for well-posed transfer functions. We obtain some sufficient and necessary conditions such that a stabilizing controller with internal loop stabilizes plant . We also analyze two special subclasses of stabilizing controllers with internal loop, called canonical and dual canonical controllers, and show that all stabilizing controllers can be parameterized by a doubly coprime factorization of the original transfer function.

Suggested Citation

  • Nai-feng Gan & Yu-feng LU & Ting Gong, 2014. "Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnddns:159198
    DOI: 10.1155/2014/159198
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    References listed on IDEAS

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    1. M. De la Sen, 2009. "On the Characterization of Hankel and Toeplitz Operators Describing Switched Linear Dynamic Systems with Point Delays," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-34, August.
    2. Yonggang Chen & Weiping Bi & Wenlin Li, 2011. "New delay-dependent absolute stability criteria for Lur'e systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1105-1113.
    3. Shih-Yu Li & Cheng-Hsiung Yang & Li-Wei Ko & Chin-Teng Lin & Zheng-Ming Ge, 2013. "Implementation on Electronic Circuits and RTR Pragmatical Adaptive Synchronization: Time-Reversed Uncertain Dynamical Systems' Analysis and Applications," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, March.
    4. Octavian Pastravanu & Mihaela-Hanako Matcovschi, 2013. "Stability of Matrix Polytopes with a Dominant Vertex and Implications for System Dynamics," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, June.
    5. M. De la Sen, 2012. "Stability of Switched Feedback Time-Varying Dynamic Systems Based on the Properties of the Gap Metric for Operators," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, November.
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