Defining bound on input signal to test accumulator for BIBO stability

1. How do you test for BIBO stability?
2. How do you determine the stability of a signal?
3. What is Bibo in reference to stability of a system?
4. What is relationship between zero input stability and BIBO stability?

How do you test for BIBO stability?

A system is BIBO stable if and only if the impulse response goes to zero with time. If a system is AS then it is also BIBO stable (as the poles of the transfer function are a subset of the poles of the system).

How do you determine the stability of a signal?

The stability of a system can be determined from the impulse response of the system. The impulse response of the system is nothing but the output of the system for a unit impulse input.

What is Bibo in reference to stability of a system?

BIBO Stable System

A system is called BIBO stable (or bounded-input, bounded-output stable) system, if and only if every bounded input to the system produces a bounded output.

What is relationship between zero input stability and BIBO stability?

A system is asymptotically stable iff all s of A have magnitudes less than 1. Since every pole of G(z) is an eigenvalue of A, asymptotic stability (zero-input response) implies BIBO stability (zero-state response). BIBO stability does not in general imply asymptotic stability.