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时标动力方程的稳定性分析 被引量:11

Stable Analysis for Dynamic Equations on Time Scales
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摘要 近来,一种称之为时标动力系统的新理论得到了蓬勃的发展.该文给出并建立了时标动力系统的各种稳定性概念和Lyapunov稳定性准则(稳定,一致稳定,渐近稳定,指数渐近稳定等等). Recently, a new theory known as dynamic equations on time scale has been built vigorously. In this paper, each kind of stability concepts and the Lyapunov's stability criteria (stable, uniformly stable, asymptotically stable, exponential asymptotically stable, etc.) are obtained for dynamic equations on time scale.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2008年第2期308-319,共12页 Acta Mathematica Scientia
基金 国家自然科学基金(10371135和10371135)资助
关键词 时标 直接Lyapunov法 动力方程 稳定性准则 Time scale Direct Lyapunov's method Dynamic equations Stable criteria.
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参考文献10

  • 1Bohner B, Peterson A. Dynamic Equations on Time Scales: An Introduction and Applications. Boston: Birkhauser, 2001
  • 2Hilger S. Analysis on measure chains - a unified approach to continuous and discrete calculus. Res Math, 1990, 18:18-56
  • 3Kaymakcalan B. Lyapunov stability theory for dynamic systems on time scales. J Appl Math and Stochastic Anal, 1992, 5:275 289
  • 4Kaymakcalan B. Existence and comparison results for dynamic systems on time scale. J Math Anal Appl, 1993, 192:243- 255
  • 5Kaymakcalan B. Stability analysis in terms of two measures for dynamic systems on time scales. J Appl Math and Stochastic Anal, 1993, 4:325-344
  • 6Lakshmikantham V, Sivasundaram S. Stability of moving invaxiant sets and uncertain dynamic systems on time scales. Compu Math Appli, 1998, 36(10-12): 339 346
  • 7Gard J, Hoffacker J. Asymptotic behavior of natural growth on time scales. Dyn Sys and Appli, 2003, 12(1 2): 131- 148
  • 8Dacunha J J. Stability for time varying linear dynamic systems on time scales. J Comput Appl Math, 2005, 176(2): 381-410
  • 9Potzsche C, Siegmund S, Wirth F. A spectral characterization of exponential stability for linear time-invariant systems on time scales. J Discrete & Continuous Dynamical systems, 2003, 9:1223-1241
  • 10Lakshmikantham V, Vatsala A S. Hybrid systems on time scales. J Comput Math, 2002, 141:227-235

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