Nonlinear Systems    

School of ECE, University of Tehran

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  Course Outline

          ● Properties of ODEs solutions

          ● Phase-plane analysis

          ● Limit cycles

          ● Lyapunov theory for autonomous/non-autonomous systems

          ● Domain of Attraction and its importance in design

          ● Multivariable Circle/Popov  criteria

          ● Describing function method

          ● Bifurcation

          ● Center Manifold Theorem 

          ● Input-Output Stability

          ● Boundedness and Ultimate Boundedness

          ● Passivity and Dissipativity

          ● Stability of perturbed systems

          ● Slowly varying systems

          ● Analysis of singularly perturbed systems

          ● New (applied/theoretical) emerging topics will be covered in the final projects

    

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