Feedback Systems Stabilizability in Terms of Invariant Zeros
It is well known that zeros play a very basic role in the analysis and synthesis of multivariable systems: although the term “zero” clearly comes from the polynomial (transfer matrix) approach, in the early 70’s it was extended to the state-space description through geometric tools and techniques [1, 2]. In particular, the invariant zeros of a triple (A, B, C) are defined both as the roots with multiplicity of the invariant polynomials of the Rosenbrock system matrix  and as the internal unassignable eigenvalues with multiplicity of the maximal (A, imB)-controlled invariant contained in kerC [4, 5].
KeywordsState Feedback Feedback System Regulator Problem Disturbance Localization Multivariable System
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