[1] |
Anderson, B. D.O.; Jury, E. I., Generalized Bezoutian and Sylvester matrices in multivariable linear control, IEEE Trans. Automat. Control, AC-21, 551-556 (1976) · Zbl 0332.93032 |
[2] |
Barnett, S.; Lancaster, P., Some properties of the Bezoutian for polynomial matrices, Linear and Multilinear Algebra, 9, 99-110 (1980) · Zbl 0504.15002 |
[3] |
Carlson, D.; Schneider, H., Inertia theorems for matrices: the semidefinite case, J. Math. Anal. Appl., 6, 430-446 (1963) · Zbl 0192.13402 |
[4] |
Daleckii, J. L.; Krein, M. G., Stability of Solutions of Differential Equations in Banach Spaces, Amer. Math. Soc. Translations, Vol. 43 (1974), Providence · Zbl 0286.34094 |
[5] |
Datta, B. N., On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problem, Linear Algebra Appl, 22, 235-246 (1978) · Zbl 0387.15011 |
[6] |
Datta, B. N., An elementary proof of the stability criterion of Liénard and Chipart, Linear Algebra Appl., 22, 89-96 (1978) · Zbl 0402.15005 |
[7] |
Gantmacher, F. R., The Theory of Matrices, Vols. I, II (1959), Chelsea, New York · Zbl 0085.01001 |
[8] |
Gohberg, I.; Kaashoek, M. A.; Lerer, L.; Rodman, L., Common multiples and common divisors of matrix polynomials, I Spectral method, Indiana Univ. Math. J., 30, 321-356 (1981) · Zbl 0449.15015 |
[9] |
Gohberg, I.; Lancaster, P.; Rodman, L., Spectral analysis of selfadjoint matrix polynomials, Ann. of Math., 112, 34-71 (1980) · Zbl 0446.15007 |
[10] |
Gohberg, I.; Lancaster, P.; Rodman, L., Matrix Polynomials (1982), Academic: Academic New York · Zbl 0482.15001 |
[11] |
Krein, M. G.; Naimark, M. A., The method of symmetric and hermitian forms in the theory of the separation of the roots of algebraic equations, Linear and Multilinear Algebra, 10, 265-308 (1981) · Zbl 0584.12018 |
[12] |
Lancaster, P., Lambda Matrices and Vibrating Systems (1966), Pergamon: Pergamon Oxford · Zbl 0146.32003 |
[13] |
Lancaster, P., Symmetric transformation of the companion matrix, NABLA, Bull. Malayan Math. Soc., 8, 146-148 (1961) |
[14] |
P. Lancaster and M. Tismenetsky, Some extensions and modifications of classical stability tests for polynomials, Inter. J. Control; P. Lancaster and M. Tismenetsky, Some extensions and modifications of classical stability tests for polynomials, Inter. J. Control · Zbl 0526.93043 |
[15] |
Lerer, L.; Tismenetsky, M., The Bezoutian and the eigenvalue-separation problem for matrix polynomials, Integral Eq. Operator Theory, 5, 386-445 (1982) · Zbl 0504.47020 |
[16] |
L. Lerer and M. Tismenetsky, Quasilinearizations of Matrix Polynomials (in preparation).; L. Lerer and M. Tismenetsky, Quasilinearizations of Matrix Polynomials (in preparation). · Zbl 0587.15008 |
[17] |
Ostrowsky, A.; Schneider, H., Some theorems on the inertia of general matrices, J. Math. Anal. Appl., 4, 72-84 (1962) · Zbl 0112.01401 |
[18] |
Taussky, O., A generalization of a theorem by Lyapunov, J. Soc. Ind. Appl. Math., 9, 640-643 (1961) · Zbl 0108.01202 |
[19] |
Wimmer, H. K., Inertia theorems for matrices, controllability and linear vibrations, Lin. Alg. Appl., 8, 337-343 (1974) · Zbl 0288.15015 |
[20] |
Yakubovich, V. A.; Starzhinskii, V. M., Linear Differential Equations with Periodic Coefficients (1975), Wiley: Wiley New York · Zbl 0308.34001 |