Examples

Consider systems with the following descriptions. y(t) is the output signal corresponding to the input signal x(t).

CONCLUSION

BIBO Stable system : In a BIBO stable system, every bounded input is assured to give a bounded output. An unbounded input can give us either a bounded or an unbounded output, i.e. nothing can be said for sure.

BIBO Unstable system: In a BIBO unstable system, there exists at least one bounded input for which output is unbounded. Again, nothing can be said about the system's response to an unbounded input.