Sufficient conditions for Hurwitz and Schur stabilty of interval matrix polynomials
Y Xiao, R Unbehauen, X Du - 1999 European Control …, 1999 - ieeexplore.ieee.org
Y Xiao, R Unbehauen, X Du
1999 European Control Conference (ECC), 1999•ieeexplore.ieee.orgBased on Lyapunov equation and∞-norm of matrices, sufficient conditions for Hurwitz and
Schur stability of interval matrix polynomials are yielded. Since the parameter space of
interval matrix polynomials with N order and K× K dimension is of 2NK 2 dimension at most,
it is difficult to determine its Hurwitz and Schur stability by finite algorithms. We simplify the
stability test problem by relating Lyapunov function to the upper bound and the lower bound
coefficient matrices of interval matrix polynomials. Illustrative examples are given.
Schur stability of interval matrix polynomials are yielded. Since the parameter space of
interval matrix polynomials with N order and K× K dimension is of 2NK 2 dimension at most,
it is difficult to determine its Hurwitz and Schur stability by finite algorithms. We simplify the
stability test problem by relating Lyapunov function to the upper bound and the lower bound
coefficient matrices of interval matrix polynomials. Illustrative examples are given.
Based on Lyapunov equation and ∞-norm of matrices, sufficient conditions for Hurwitz and Schur stability of interval matrix polynomials are yielded. Since the parameter space of interval matrix polynomials with N order and K×K dimension is of 2NK 2 dimension at most, it is difficult to determine its Hurwitz and Schur stability by finite algorithms. We simplify the stability test problem by relating Lyapunov function to the upper bound and the lower bound coefficient matrices of interval matrix polynomials. Illustrative examples are given.
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