Morse Decompositions for General Dynamical Systems and Differential Inclusions with Applications to Control Systems

  • Authors:

  • Desheng Li

  • Affiliations:

  • -

  • Venue:
  • SIAM Journal on Control and Optimization
  • Year:
  • 2007

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Abstract

The Morse decomposition theory for single-valued dynamical systems is extended to general dynamical systems and differential inclusions. Relations between chain recurrent sets, chain recurrent components (chain control sets), and Morse decompositions for open-loop systems are discussed. The robustness of feedback laws of closed-loop systems with respect to small time delays and sample-hold controls is also addressed.