Modeling Dynamic Systems: Definitions and Examples

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Related lectures (28)

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Electric Motors: Principles and Applications

Explores electric motor principles, linearity, control systems, active suspensions, and Laplace transforms.

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.

Convolution and Laplace Transform

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

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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.

LTI Systems Properties

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

Discrete Systems Theory

Covers difference equations, dynamic systems, linearity, and impulse response in discrete systems.

Dynamic Systems: Springs and Forces

Explores springs under forces using differential equations and mechanics examples.

Homogeneous Solutions: Linear Independence

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Dynamic Systems: Control and Stability Analysis

Explores dynamic systems, focusing on control mechanisms and stability analysis through practical examples and mathematical modeling.