This chapter deals with stability of deterministic differential equations modulated by a randomly switching process with motivation given by the study of piecewise deterministic systems and stability of randomly switched systems. Also considered are the Lyapunov exponent and related stability issues.

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Stability of Switching ODEs

  • Hai-Dang Nguyen,
  • George Yin,
  • Chao Zhu

摘要

This chapter deals with stability of deterministic differential equations modulated by a randomly switching process with motivation given by the study of piecewise deterministic systems and stability of randomly switched systems. Also considered are the Lyapunov exponent and related stability issues.