Introduction to Nonlinear Systems Control

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Related lectures (28)

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Nonlinear Dynamics: Stability and Chaos

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

State-Space Control Design

Covers state-space control design, including state-feedback, observer, and linearization.

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Linear Algebra: Systems and Subspaces

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Applications of Laplace Transform: State Space Modeling

Explores the application of Laplace transform in state space modeling of linear systems and the control of dynamic systems.

State-space Modeling

Introduces the state-space approach to modeling dynamical systems and its utility for high-speed solution of differential equations and computer algorithms.

Circle Criterion: Stability and Nonlinearity

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Dynamical Systems for Engineers

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

State-Space Representation: Structure Theorem

Covers the structure theorem for state-space representations and companion forms.

Linear Applications: Matrices and Transformations

Covers linear applications, matrices, transformations, and the principle of superposition.