Concept
Linearization
Related lectures (48)
Toy example: linearization
Covers the linearization procedure applied to a first-order system with a nonlinearity.
Exact linearization
Explores exact linearization as a method to simplify the analysis of nonlinear systems.
Fixed Points and Stability
Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.
Stability of periodic solutions of continuous-time systems
Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.
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.
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.
Exact Linearization: Earth Dynamics and Stabilization
Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.