Sensivity and stability of singular systems under proportional and derivative feedback
نویسنده
چکیده
We consider triples of matrices (E,A, B), representing singular linear time invariant systems in the form Eẋ(t) = Ax(t) + Bu(t), with E, A ∈ Mp×n(C) and B ∈ Mn×m(C), under proportional and derivative feedback. Using geometrical techniques we obtain miniversal deformations that permit us to study sensivity and structural stability of singular systems. Key-Words:Singular linear systems, proportional and derivative feedback, canonical reduced form, structural invariants, structural stability. AMS Classification: 15A04, 15A21, 93B52.
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