Credits: 3 (3-0-0)
Prerequisites: ELL225 or equivalent
Description
Introduction to nonlinear systems: Examples of phenomena, models & derivation of system equations. Fundamental properties: Existence & uniqueness, Dependence on initial conditions & parameters. Phase plane analysis. Limit cycles & oscillations. Describing function method and applications. Circle criterion. Lyapunov stability of autonomous systems. Perturbation theory & Averaging. Singular perturbation model and stability analysis. Basic results on Lie algebra. Controllability and Observability of nonlinear systems. Bifurcations. Chaos. Synchronization.
Prerequisite Tree
flowchart TD
ELL702-343[ELL702]
ELL702-343 --> ELL225-343[ELL225]
ELL225-343 --> ELL205-343[ELL205]
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