Question
Download Solution PDFStatement (I): Linear system may have multiple equilibrium states.
Statement (II): If a system is BIBO stable, it must also be zero-input or asymptotically stable.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFIf the system is linear time invariant, i.e.
if f(x, t) = AX
Then there exist only one equilibrium state if A is non-singular, and there exist infinitely equilibrium states if A is singular. BIBO stability implies Asymptotic stability.
Statement (I) is false, but Statement (II) is true.
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