Signals and systems/System properties

• Systems with memory/without memory
• Casual systems
• Stable systems
• Time invariance in systems
• Linearity in systems

Memory in systems

When no need to maintain previous values for getting new results - this is memoryless system

Casuality of systems

Output depends only from past and current inputs, but no need to know future values.

Stable system

For each bounded inputs - bounded outputs. When finite inputs then finite outputs.

Time invariance

${\displaystyle x(t)\to y(t)}$ and ${\displaystyle x((t-n))\to y((t-n))}$
Expected results when time is changing by delta.

Linearity systems

When ${\displaystyle x_{1}\to y_{1}}$ then ${\displaystyle x_{2}\to y_{2}}$
Expected results for all reasonable inputs.