Approximate Linearization

Related lectures (31)

Covers the properties of Linear Time-Invariant (LTI) systems and their implications.

Covers linear, causal, and time-invariant systems, with practical examples and MATLAB simulations.

Introduces the basics of multivariable control, focusing on system theory and linear systems.

Explores nonlinear equations, emphasizing convergence and Taylor polynomials for function approximation.

Explores solving linear systems and addressing nonlinearity in numerical flow simulations using multigrid and linearization methods.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Covers Lyapunov stability theory, energy functions, positive-definite matrices, and system stability analysis through examples and theorems.

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

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