When we take up design of systems, ideally how do we define the stability of a system?
A. A system is stable, if a bounded input gives a bounded output, for some values of the input.
B. A system is unstable, if a bounded input gives a bounded output, for all values of the input.
C. A system is stable, if a bounded input gives a bounded output, for all values of the input.
D. A system is unstable, if a bounded input gives a bounded output, for some values of the input.
Answer:A
When we take up design of systems, ideally how do we define the stability of a system?
A. A system is stable, if a bounded input gives a bounded output, for some values of the input. B. A system is unstable, if a bounded input gives a bounded output, for all values of the input. C. A system is stable, if a bounded input gives a bounded output, for all values of the input. D. A system is unstable, if a bounded input gives a bounded output, for some values of the input.
Explanation: For designing a system, it should be kept in mind that the system does not blow out for a finite input. Thus, every finite input should give a finite output.