...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Discrete and continuous dynamical systems >ASYMPTOTIC STABILITY AND SMOOTH LYAPUNOV FUNCTIONS FOR A CLASS OF ABSTRACT DYNAMICAL SYSTEMS
【24h】

ASYMPTOTIC STABILITY AND SMOOTH LYAPUNOV FUNCTIONS FOR A CLASS OF ABSTRACT DYNAMICAL SYSTEMS

机译：一类抽象动力系统的渐近稳定性和光滑Lyapunov函数

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper deals with a characterization of asymptotic stability for a class of dynamical systems in terms of smooth Lyapunov pairs. We point out that well known converse Lyapunov results for differential inclusions cannot be applied to this class of dynamical systems. Following an abstract approach we put an assumption on the trajectories of the dynamical systems which demands for an estimate of the difference between trajectories. Under this assumption, we prove the existence of a C~∞-smooth Lyapunov pair. We also show that this assumption is satisfied by differential inclusions defined by Lipschitz continuous set-valued maps taking nonempty, compact and convex values.
机译：本文用光滑的Lyapunov对描述了一类动力学系统的渐近稳定性。我们指出，众所周知的差分李雅普诺夫逆反结果不能应用于此类动力学系统。遵循一种抽象的方法，我们对动力学系统的轨迹进行了假设，该假设要求估计轨迹之间的差异。在此假设下，我们证明了C〜∞-光滑Lyapunov对的存在。我们还表明，由Lipschitz连续集值映射定义的包含非空，紧实和凸值的微分包含满足该假设。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号