Check the stability of the system, $y[n]=u[n]$ [closed]

1. How do you check if system is stable or not?
2. How do I know if my LTI system is stable?
3. What makes a system stable?
4. What is stability in DSP?

How do you check if system is stable or not?

When the poles of the closed-loop transfer function of a given system are located in the right-half of the S-plane (RHP), the system becomes unstable. When the poles of the system are located in the left-half plane (LHP) and the system is not improper, the system is shown to be stable.

How do I know if my LTI system is stable?

Time Domain Condition for the Stability of LTI Discrete-Time Systems. For a system, when the bounded input sequence always produces a bounded output sequence, then the system is said to be stable system.

What makes a system stable?

Roughly speaking, a system is stable if it always returns to and stays near a particular state (called the steady state), and is unstable if it goes farther and farther away from any state, without being bounded.

What is stability in DSP?

A stable system satisfies the BIBO boundedinputforboundedoutput condition. Here, bounded means finite in amplitude. For a stable system, output should be bounded or finite, for finite or bounded input, at every instant of time. Some examples of bounded inputs are functions of sine, cosine, DC, signum and unit step.