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.