Difference Equations and Controllers

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Related lectures (30)

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Discrete Systems Theory

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

Discrete Systems: Relations, Linear Dynamics, and Operators

Covers discrete systems, linear dynamics, causality, impulse response, convolution, and operators' effects.

LTI Systems Properties

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

The z-transform: Basics and Applications

Introduces the z-transform, covering its basics, applications to systems, and practical examples.

Difference Equations: Roots and Solutions

Explores characteristic polynomials, stability conditions, homogeneous solutions, and transfer functions in difference equations.

Signals & Systems II: Difference Equations and Inverse Operators

Explores difference equations, impulse response, BIBO stability, and inverse operators in signal processing.

Signals & Systems II: Roots, Equations, and Impulse Responses

Explores roots verification, stability, reproduction modeling, Z transform, and LTI systems realization.

Fourier Transform Pairs and System Analysis

Covers Fourier transform pairs, system analysis with difference equations, and frequency response.

Frequency Response of LTI Systems

Explores LTI systems, impulse response, convolution, system properties, and frequency response, including low-pass and band-pass filters.

Fourier Transform: LTI Systems

Explores the Fourier transform application to LTI systems, including frequency response, convolution, differentiation, and solving differential equations.