Lectures related to Generalized Dissipative Oscillator: Approximate Solutions and Modal Bases

Convolution and Laplace Transform

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

System Analysis in Time Domain

Explores system analysis in the time domain, covering mathematical modeling, transfer functions, responses, and system identification.

Network Functions: Analysis and Design

Explores network functions in s-domain circuit analysis, covering stability, poles, responses, and design.

Linear Systems: Stability and Solutions

Explores stability and solutions of linear systems in continuous and discrete time.

Signals & Systems I: Characteristic Modes and Green Functions

Explores characteristic modes, green functions, stability criteria, and system response to complex excitations.

Frequency Response Interpretation

Explores the frequency response of stable LTI systems, focusing on its derivation and interpretation.

Harmonic Excitation in Vibratory Mechanics

Explores harmonic excitation in vibratory mechanics, emphasizing transfer functions and system responses.

Frequency Response and Filters: Signals & Systems I

Explores frequency response, ideal filters, and linear phase in signals & systems.

Stable LTI Systems: Frequency Response Analysis

Explores stable LTI systems through frequency response analysis, convolution properties, and differential equations solutions.

Inductive Sensors: Mutual Inductance

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

Fourier Transform: LTI Systems

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

The z-transform: Basics and Applications

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

Second Order Systems: Response Analysis

Analyzes the response of second-order systems to different inputs and explores the significance of pole locations in determining system behavior.

Excitation Harmonique in Vibratory Mechanics

Explores the response of a system to harmonic excitation in vibratory mechanics.

Generalized Oscillator: Vibratory Mechanics

Explores the concept of a generalized oscillator in vibratory mechanics and its application to a two-degree-of-freedom system.

Signals & Systems I: Characteristic Modes and Impulse Responses

Explores characteristic modes, impulse responses, and system stability in signals and systems.

Laplace Transform Application: LTI Systems

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Frequency Response of LTI Systems

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

Mathematical Methods: Oscillations and Energy Transfer

Discusses oscillations, energy transfer, and the Green function in physics.

Laplace Transform and LTI Systems

Covers Laplace Transform, Fourier Transforms, transfer functions, LTI systems, and Region of Convergence properties.