Howtosignalprocessing
A system is marginally stable iff all eigenvalues of A have magnitudes less than or equal to 1 and those with unity magnitude are simple roots of the minimal polynomial of A. A system is asymptotically stable iff all s of A have magnitudes less than 1.
- What is meant by marginally stable?
- What is asymptotically stable?
- Is marginally stable considered stable?
- Is marginally stable BIBO stable?
What is meant by marginally stable?
A marginally stable system is one that, if given an impulse of finite magnitude as input, will not "blow up" and give an unbounded output, but neither will the output return to zero. A bounded offset or oscillations in the output will persist indefinitely, and so there will in general be no final steady-state output.
What is asymptotically stable?
Asymptotic stability means that solutions that start close enough not only remain close enough but also eventually converge to the equilibrium. Exponential stability means that solutions not only converge, but in fact converge faster than or at least as fast as a particular known rate .
Is marginally stable considered stable?
Marginal Stability
A system with poles in the open left-half plane (OLHP) is stable. If the system transfer function has simple poles that are located on the imaginary axis, it is termed as marginally stable. The impulse response of such systems does not go to zero as t→∞, but stays bounded in the steady-state.
Is marginally stable BIBO stable?
Does marginal stability imply BIBO stability? it is neither stable nor marginally stable.
