EE 555 - Stability Theory of Dynamical Systems

Weekly outline

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  General

  EE 555 - Stability Theory of Dynamical Systems

  The students taking the course are exposed to some of the basic tools that are used in stability analysis of dynamical systems. The objective of the course therefore is to make the students familiar with such tools for two reasons: The first obvious reason is that via such tools they will be able to do stability analysis in certain simple, generic cases. The second reason is, whenever the system they are working on does not fit into the description which is necessary for the tools to be usable, they can, based on their basic training they recieve in this course, move on to learning (by themselves) more sophisticated methods for advanced stability analysis.    

  
  

  Course Content

  Review of dynamical system models, classification of equilibrium solution. Results on 2-dimensional systems; Poincare-Bendixon theory for limit cycles. Liapunov theory; definitions of stability and applications to linear and nonlinear feedback systems. Input/output stability; definitions and derivation of frequency response criteria for stability. 

  
  

  YouTube Playlist for all EE 555 Lectures:

  • Course Syllabus File
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  Lecture Notes

  • Lecture Notes File
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  Lecture Videos

  • Lecture 1 File
  • Lecture 2 File
  • Lecture 3 File
  • Lecture 4 File
  • Lecture 5 File
  • Lecture 6 File
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  • Lecture 9 File
  • Lecture 10 File
  • Lecture 11 File
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  • Lecture 14 File
  • Lecture 15 File
  • Lecture 16 File
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  • Lecture 18 File
  • Lecture 19 File
  • Lecture 20 File
  • Lecture 21 File
  • Lecture 22 File
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  • Lecture 25 File
  • Lecture 26 File
  • Lecture 27 File
  • Lecture 28 File
  • Lecture 29 File
  • Lecture 30 File
  • Lecture 31 File
  • Lecture 32 File
  • Lecture 33 File