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A system can be marginally stable but not BIBO stable.
- Is a marginally stable system BIBO stable?
- Are LTI systems BIBO stable?
- Why are marginally stable systems considered unstable under the BIBO definition of stability?
- What are the conditions for a BIBO stable system?
Is a marginally stable system BIBO stable?
Does marginal stability imply BIBO stability? it is neither stable nor marginally stable.
Are LTI systems BIBO stable?
The LTI system (⋆) is uniformly BIBO stable. 2 Every pole of the transfer function of the system has strictly negative real parts. A MIMO LTI system with impulse response matrix G(t)=[gij(t)] is BIBO stable, if and only if every gij(t) is absolutely integrable in [0, ∞).
Why are marginally stable systems considered unstable under the BIBO definition of stability?
Why are marginally stable systems considered unstable under the BIBO definition of stability? - for a marginally stable system, the response remains constant and is oscillatory in nature. A marginally stable system is one which is stable for some bounded inputs, but unstable for other bounded inputs.
What are the conditions for a BIBO stable system?
A system is BIBO stable if every bounded input signal results in a bounded output signal, where boundedness is the property that the absolute value of a signal does not exceed some finite constant.
