Contents
Introduction | 1 |
Realization and linearization | 44 |
Minimal nodes | 62 |
Copyright | |
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admits analytic angular operator apply Theorem assume Banach space bijective bounded linear operator Brodskii J-node Cauchy contour characteristic operator function consider corresponding decomposition defined denoted eigenvalue equal exists finite dimensional node follows formula geometric multiplicity given hence Hilbert space implies integer invertible operator Krein J-node Lemma matrix polynomial minimal factorizations minimal node minimal realization Möbius transformation monic node monic operator polynomials node similarity non-trivial nxn matrix function Observe operator norm pole polynomial node proof is complete prove rank rational matrix functions real eigenvalue real line real perturbations Riccati equation Riemann sphere Riesz projection Section solution splits the spectrum stable invariant subspace supporting projection supporting subspace Suppose T-invariant Theorem 1.1 tion transfer function unitary operator vector W₁ W₂ X₁ zero ε ε λο Πο