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Last updated:
August 5, 2022
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
This course provides an introduction to nonlinear deterministic dynamical systems.
Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov’s first and second methods; feedback linearization; and application to nonlinear circuits and control systems.
Course Curriculum
- Input/Output and State-Space Models Unlimited
- Differential Equations as System Models Unlimited
- Continuous Dependence on Parameters Unlimited
- Analysis Based on Continuity Unlimited
- Lyapunov Functions and Storage Functions Unlimited
- Storage Functions and Stability Analysis Unlimited
- Finding Lyapunov Functions Unlimited
- Local Behavior at Equilibria Unlimited
- Local Behavior Near Trajectories Unlimited
- Singular Perturbations and Averaging Unlimited
- Local Controllability Unlimited
- Feedback Linearization Unlimited
About the instructor
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Courses
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Students
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Massachusetts Institute of Technology