ELL702
| ELL702 | |
|---|---|
| Nonlinear Systems | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | ELL225 or equivalent |
| Overlaps | |
ELL702 : Nonlinear Systems
[edit]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.