171 Glossary of linear system terminology

(A,B,C,D): standard linear system, usually with constant matrices;

amplitude: height of a signal, regarded as a wave;

BIBO: bounded input and bounded output system;

Bode plot: plot of log gain and phase against angular frequency $\omega$;

Closed loop: system with feedback loop;

differentiator: operation of differentiation with respect to time $t$;

frequency domain: linear system in terms of $\omega$, where $s=i\omega$;

frequence response function: transfer function $T(s)$ when $s=i\omega$ and $\omega \in 𝐑$;

gain: (or amplitude gain) modulus of the transfer function;

integrator: operation of integration with respect to time $t$, from $t=0$;

JCF: Jordan canonical form of square matrix;

$\widehat{𝐋}$: Laplace transform of $\widehat{L}$;

LHP: Open left half plane

MIMO: multiple input and multiple output linear system;