“…In 2009, Ge [18] discussed the exponential stability of a class for the singular distributed parameter system by using the theory of GE 0 -semigroup. In 2010, Yuan etc [23] discussed the exponential stability of the singular system by using the degenerate semigroup; Li and Wang [24] discussed the exponential stabilizability for a class of singular distributed parameter control system by using the GE 0 -semigroup theory in Hilbert space; Ge [25], Liu and Shi [26] discussed the exponential stability of the time varying singular distributed parameter system by using the GE 0 -semigroup and GE-mild evolution operator.…”
Exponential stability for the singular distributed parameter systems is discussed in the light of the theory of GE0-semigroup in Hilbert space. The necessary and sufficient conditions concerning the exponential stability are given.
“…In 2009, Ge [18] discussed the exponential stability of a class for the singular distributed parameter system by using the theory of GE 0 -semigroup. In 2010, Yuan etc [23] discussed the exponential stability of the singular system by using the degenerate semigroup; Li and Wang [24] discussed the exponential stabilizability for a class of singular distributed parameter control system by using the GE 0 -semigroup theory in Hilbert space; Ge [25], Liu and Shi [26] discussed the exponential stability of the time varying singular distributed parameter system by using the GE 0 -semigroup and GE-mild evolution operator.…”
Exponential stability for the singular distributed parameter systems is discussed in the light of the theory of GE0-semigroup in Hilbert space. The necessary and sufficient conditions concerning the exponential stability are given.
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