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时标上脉冲动力系统的h-稳定性

h-stability of impulsive dynamic systems on time scale
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摘要 借助比较动力系统的h-φ0-稳定性和锥值Lyapunov函数方法,在时标上建立了脉冲动力系统h-稳定性的一些判定准则。 Some criterions of h-stability of impulsive dynamic systems on time scale via h-φ0-stability of comparison dynamic systems and cone-valued Lyapunov function method are established.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2012年第8期22-27,共6页 Journal of Shandong University(Natural Science)
基金 河北省科学技术研究与发展计划科研基金项目(114572110)
关键词 脉冲动力系统 h-稳定性 h-φ0-稳定性 锥值LYAPUNOV函数 implsive dynamic systems h-stability h-φ0-stability cone-valued Lyapunov function
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参考文献8

  • 1MEDINA R, PINTO M. Variationally stable difference equations[J]. Nonlinear Analysis : Theory, Methods & Applications, 1997, 30(2) :1141-1152.
  • 2PINTO M. Perturbations of asymptotically stable differential systems[J]. Analysis, 4(1-2) :161-175.
  • 3LAKSHIMIKANTHAM V, SIVASUNDARAM S, KAYMAKCALAN B. Dynamic systems on measure chains [M]. Dordrecht: Kluwer Academic Publishers, 1996.
  • 4WANG Peiguang, LIU Xia. Ф0-stability of hybrid impulsive dynamic systems on time scales[J]. Journal of Mathematical Analysis and Applications, 2007, 334(2) :1220-1231.
  • 5WANG Peiguang, WU Meng. Practical Ф0-stability of impulsive dynamic system on time scales [J]. Applied Mathematics Letters, 2007, 20(6):651-658.
  • 6LAKSHIMIKANTHAM V, LEELA S. Cone-valued Lyapunov functions [ J ]. Nonlinear Analysis : Theory, Methods & Applications, 1997, 1(3) : 215-222.
  • 7AKPAN E P, AKINYELE O. On the φ0-stability of comparison differential systems[J]. Journal of Mathematical Analysis and Applications, 1992, 164(2):307-324.
  • 8CHOI S K, RYU H S. h-stability in differential systems[J]. Bulletin of the Institute of mathematics Academia Sinica, 1993, 21 ( 3 ) :245-262.

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