Introduction to Nonlinear Systems Control

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Related lectures (28)

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Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.

Non-linear Control: Stability Analysis

Explores linearization, state representations, and stability analysis using Lyapunov theory and zero dynamics.

Exact Linearization: Earth Dynamics and Stabilization

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Linearization Method: Examples

Covers the linearization method through two examples in process control.

Linear Independence and Bases in Vector Spaces

Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.

Advanced Numerical Analysis: Space Discretization

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

Structure of Algebras

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Nonlinearity: Methods and Examples

Explores nonlinearity in numerical flow simulation, covering linearization methods and practical examples.

Linear Algebra Basics

Covers the basics of linear algebra, including solving equations and understanding systems of linear equations graphically.

Passivity, Stability and Circle Criterion

Covers passivity, absolute stability, and the circle criterion in linear systems with feedback.