| Context of linear systems methods in nonlinear world. Equilibria and small signal linearization. Singularity analysis. Bifurcations and center manifold theory. Digital simulation of deterministic and stochastic nonlinear systems. Lyapunov stability definition and theorems. Absolute stability theorems. Sinusoidal input describing function methods for analysis and design. Random input describing function methods for analysis. Thorough industrial and multi disciplinary applications are stressed. |
