This course provides an introduction to nonlinear deterministic dynamical systems.
FREE
This course includes
Hours of videos
333 years, 3 months
Units & Quizzes
12
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
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 Currilcum
- 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
