A linear system is modeled as [frac{2}{5} dot{x}+3 x=frac{5}{3} u(t)+u_{r}(t), quad x(0)=0] where (u(t)) and (u_{r}(t)) denote

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A linear system is modeled as

\[\frac{2}{5} \dot{x}+3 x=\frac{5}{3} u(t)+u_{r}(t), \quad x(0)=0\]

where $u(t)$ and $u_{r}(t)$ denote the unit-step and unit-ramp functions, respectively.

a. Express the response $x(t)$ in closed form.

b. $\$$ Plot the response $x(t)$ by using the lsim command.

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Related Book For answer-question

Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

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Question Posted: Mar 22, 2024 11:39 AM

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A linear system is modeled as [frac{2}{5} dot{x}+3 x=frac{5}{3} u(t)+u_{r}(t), quad x(0)=0] where (u(t)) and (u_{r}(t)) denote

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Modeling And Analysis Of Dynamic Systems

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