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What is Mathematical Models of Continuous Systems about?

This document introduces mathematical models of continuous systems using ordinary differential equations (ODEs). It discusses: 1) How ODEs can describe the relationship between input and output signals of linear time-invariant systems. 2) Examples of mass-spring-damper systems, car suspensions, and RLC circuits modeled by ODEs. 3) The Laplace transform and its properties, which is an important tool for analyzing ODE models. Closed-form Laplace transforms are given for basic functions like step, delta,

Author

Trần Hoài Bảo

Language

EN