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- Is the impulse function BIBO stable?
- What is the requirement for BIBO stability and what is impulse response?
- How do you determine BIBO stability?
- How impulse response is related with stability?
Is the impulse function BIBO stable?
The impulse response is not absolutely integrable, hence the system is not BIBO stable. From the corresponding transfer function H(s)=1/s, you can see that there is a single pole at the origin. Systems with single poles on the imaginary axis, like the integrator in your example, are also called marginally stable.
What is the requirement for BIBO stability and what is impulse response?
In terms of the impulse response, if the impulse response of a system is absolutely integrable, the system is said to be stable, i.e. In this signal, as t → ∞ , the impulse response value is not approaching 0 value. Hence it's BIBO stable.
How do you determine 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 impulse response is related with stability?
The impulse response of the system is nothing but the output of the system for a unit impulse input. If the impulse response of the system is absolutely integrable for a continuoustime system or absolutely summable for a discrete time system, then the system is a stable system.
