Sufficient Stability Criteria for Real Polynomials via Parametrized Schur Property
نویسندگان
چکیده
منابع مشابه
Robust Schur Stability of Interval Polynomials
In this note, different methods for the investigation of Schur stability of interval polynomials are considered and compared lo each other.
متن کاملSome Necessary Conditions for Schur Stability of Polynomials
This paper concerns the Schur stability of polynomials. Firstly necessary conditions are presented for the Schur stability of complex polynomials with fixed coefficients based on the discrete Hermite-Biehler theorem. Then the result is applied to obtain necessary conditions for the robust Schur stability of real interval polynomials.
متن کاملConnections between real Schur polynomials and half order complex Schur polynomials
(where a, , , , = a _ , = 0). Suppose that [possibly after replacement of f ( s ) by f ( s ) l either a,, > 0 for i = 0, 1,. . . , n or a , > 0 , a,, > 0 and a, , , , > 0 for i = 0, 1,. . . , n 1. Then if any of f ( s ) , f , (s) and f,(s) has all zeros in Re[sl < 0, the other two polynomials have this property. In this work, we shall indicate how a parallel result can be obtained for discrete-...
متن کاملOn Stability of Parametrized Families of Polynomials and Matrices
and Applied Analysis 3 a splitting procedure of the box of reflection coefficients, new conditions for the Schur stability are given. The application of Theorem 1.2 for determining the stability of polynomials with multilinear coefficients yield conservative results. In 8, 9 sufficient conditions are given for ensuring that the image of a multilinear function over the box Q is a convex polygon ...
متن کاملNew Sufficient Schur Stability Condition of Interval Polynomial Matrix
New Schur stability checking method of the polynomial matrices whose coefficient matrix are interval matrices is presented in this paper. In the suggested method, the interval Markov matrices of the interval polynomial matrix are used to assess its stability. The validity of the suggested methods is illustrated through numerical examples. The main contribution of the suggested method is that it...
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ژورنال
عنوان ژورنال: IEEJ Transactions on Electronics, Information and Systems
سال: 1999
ISSN: 0385-4221,1348-8155
DOI: 10.1541/ieejeiss1987.119.8-9_1076