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Linear, Time-Invariant, Dynamic Systems

Suitable Age Group: Ages 18–21

Grade Reference

🇺🇸 United States College Freshman – College Senior
🇬🇧 United Kingdom University Year 1 – University Year 4
🇮🇳 India B.Sc. Year 1 – B.Sc. Year 4
🇳🇬 Nigeria University Year 1 – University Year 4
🇿🇦 South Africa University Year 1 – Honours
🇦🇺 Australia University Year 1 – Honours
🇨🇦 Canada University Year 1 – University Year 4

About This Textbook

This textbook provides an introduction to linear, time-invariant, dynamic systems for students of engineering. The general minimum prerequisite for studying this textbook is the intellectual maturity of a third-year college student in an accredited four-year engineering curriculum.

Table of Contents

Introduction — Complex Numbers and Arithmetic — Mechanical Units — Frequency Response of 1st Order Systems — Basic Electrical Components and Circuits — General Time Response of 1st Order Systems by Application of the Convolution Integral — Undamped 2nd Order Systems — Pulse Inputs — Damped 2nd Order Systems — 2nd Order Systems — Mechanical Systems with Rigid-Body Plane Translation and Rotation — Vibration Modes of Undamped Mechanical Systems with Two Degrees of Freedom — Laplace Block Diagrams, and Additional Background Material for the Study of Feedback-Control Systems — Introduction to Feedback Control: Output Operations for Control of Rotational Position — Input-error Operations: Proportional, Integral, and Derivative 15 Types of Control — Introduction to System Stability: Time-Response Criteria — Introduction to System Stability: Frequency-Response Criteria