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Dynamics of Nonlinear Systems

Graduate · Historical course

Fall 2003

Topics

  • Input/Output and State-Space Models
  • Differential Equations as System Models
  • Continuous Dependence on Parameters
  • Analysis Based on Continuity
  • Lyapunov Functions and Storage Functions
  • Storage Functions and Stability Analysis
  • Finding Lyapunov Functions
  • Local Behavior at Eqilibria
  • Local Behavior Near Trajectories
  • Singular Perturbations and Averaging
  • Volume Evolution and System Analysis
  • Local Controllability
  • Feedback Linearization
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