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

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

Linearity systems

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