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离散非线性时变系统指数稳定性的充分条件

A sufficient condition for exponential stability of nonlinear time-varying discrete systems
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摘要 在相当弱的条件下证明了离散非线性时变系统指数稳定性的一个充分条件,并给出了构造性证明.作为应用,给出了线性时变周期离散系统稳定性的某些简单实用的代数判据. In this paper, a sufficient condition for exponential stability of nonlinear time-varying discrete systems is presented under very mild conditions. It is worth to point out that a novel proof of our result is given. As its application, a simple algebra criteria of stability test is provided for linear time-varying periodic discrete systems.
作者 王隔霞
出处 《西北师范大学学报(自然科学版)》 CAS 北大核心 2010年第1期6-9,共4页 Journal of Northwest Normal University(Natural Science)
基金 上海高校选拔培养优秀青年教师科研专项基金资助项目(Z2009-20)
关键词 一致渐近稳定 离散时变系统 指数稳定 谱半径 Schur稳定 uniformly asymptotic stability time-varying discrete system exponential stabilityl spectral radius Schur stability
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参考文献6

  • 1BLONDEL V D, SONTAG E D, VIDYASAGAR M, et al. Open Problems in Mathematical Systems and Control Theory[M]. London: Springer Verlag, 1999.
  • 2ANTONIO L. Cascaded nonlinear time-varying systems: analysis and design [C]//Lecture Notes from FAP 2004, European Control Training Site, Gifsur Yvette, France, 2004.
  • 3MIROSLAV K, DENG Hua. Stabilization of Nonlinear Uncertain Systems [ M ]. London: Springer-Verlag, 1998.
  • 4NARENDRA K S, ANNASWAMY A M. Persistent excitation in adaptive systems[J]. Int J Control, 1987, 45:127-160.
  • 5DIRK A, PEUTEMAN J. A asymptotic stability criterion for nonlinear time-variant differential equations[J]. IEEE Trans Autmat Control, 1998, 43: 968-971.
  • 6DIRK A, PEUTEMAN J. On exponential stability of nonlinear time-varying differential equations[J]. Automatica, 1999, 35: 1091-1100.

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