Concept

Linearity

Related lectures (31)

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

Modeling Dynamic Systems: Definitions and Examples

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Z-Transform Properties

Covers the transfer function of composed LTI systems, difference equations, and Z-Transform properties.

Z-Transform: Basics

Covers the Z-Transform, transfer function for LTI systems, and its properties, including linearity and time shift.

Untitled

Z-transform Theory: Part 1

Explores the Z-transform theory, including geometric progressions, linearity, convolution, and temporal shifts.

Inductive Sensors: Mutual Inductance

Explores mutual inductance in inductive sensors, LVDT operation, synchronous rectification, and sensor characteristics.

Non-linear Control: Stability Analysis

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

Stability of ODE

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

State-Space Control Design

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

Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

LTI Systems Properties

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

Linearization Method: Examples

Covers the linearization method through two examples in process control.

Systems: Properties and Behavior

Covers the fundamental properties of systems in discrete and continuous time domains.

Resonant Sensors: Mass Flow and Measurement

Explores resonant sensors for mass flow and measurement, emphasizing stability and precision.

CS Stage: Load and Linearization

Explores load impedance, current sources, linearity, and gain optimization in CS stages.

Linear Algebra: Systems and Subspaces

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

Laplace Transform: Rules and Examples

Covers Laplace transform rules, examples, signal transformation, and process control.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations, focusing on vector fields, linear parts, and coordinate changes.

Properties of Dynamic Systems

Covers linearity, causality, and equilibrium points in dynamic systems studied in the course.