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Dynamic Systems: Formalism and Bases
Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.
Introduction to Nonlinear Systems Control
Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.
State-Space Control Design
Covers state-space control design, including state-feedback, observer, and linearization.
Chaos Theory: Discrete Dynamical Systems
Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.
Discrete Systems Theory
Covers difference equations, dynamic systems, linearity, and impulse response in discrete systems.
Linearization Method: Examples
Covers the linearization method through two examples in process control.
Z-Transform Properties
Covers the transfer function of composed LTI systems, difference equations, and Z-Transform properties.
Chaos Theory: Chaotic Maps and Logistic Map
Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.
Modulation Instability in Optical Waveguide
Delves into modulation instability in optical waveguides, where continuous wave light can break up into ultrashort pulses.
Stability of fixed points
Covers the stability analysis of fixed points in two-dimensional neuron models.