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This course provides an introduction to nonlinear deterministic dynamical systems.
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English
English [CC]
FREE
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Description
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 content
- 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
Instructor
Massachusetts Institute of Technology
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