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Definitions and Theorems
this book lies in obtaining the greatest common divisor of two poly
Stability and Positive Innerwise Matrices
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a0 ax algebraic algorithm aperiodicity aperiodicity condition apply Automatic Control B(zu z2 bilinear transformation Chapter characteristic equation Chebyshev functions coefficients companion matrix digital filters discussed in Section double triangularization E. I. Jury eigenvalues elements entries equivalent evaluation Example given go to step Hence Hermitian matrix Hurwitz matrix IEEE IEEE Trans inner form inners determinants innerwise matrix inside the unit IOOOE+01 j-plane leading principal minors Let F(s Lyapunov matrix equation matrix form matrix Q multiplicity n-even n-odd necessary and sufficient necessary condition negative real axis nonnegativity obtain open left half-plane polynomial F(s positive definite positive innerwise pi preceding presented problem proof rational function readily real polynomial real roots reduced Hermite reduced Schur-Cohn relative stability root clustering root distribution Routh table rows and columns Schur-Cohn criterion simplified stability condition stability criteria stability test sufficient condition Sylvester's theorem symmetric matrix table form Theorem Theory unit circle z-transform