Matrices, polynomials, and linear time-variant systems
暂无分享,去创建一个
[1] H. Rosenbrock. Relatively prime polynomial matrices , 1968 .
[2] S. Barnett. A New Formulation of the Theorems of Hurwitz, Routh and Sturm , 1971 .
[3] S. Barnett. Relationship between two methods for calculating the least order of a transfer function matrix , 1972 .
[4] S. Barnett,et al. Number of zeros of a complex polynomial inside the unit circle , 1970 .
[5] R. J. Beshara. A New Evaluation of the Mean Square Integral , 1971 .
[6] C. Storey,et al. On the general functional matrix for a linear system , 1967, IEEE Transactions on Automatic Control.
[7] Per Hagander,et al. Numerical solution of ATS + SA + Q = 0 , 1972, Inf. Sci..
[8] E. Jury,et al. Symmetric and innerwise matrices for the root-clustering and root-distribution of a polynomial , 1972 .
[9] John J. H. Miller. On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis , 1971 .
[10] L. Bittner. S. H. Lehnigk, Stability Theorems For Linear Motions. (International Series in Applied Mathematics.) XI + 251 S. m. Fig. Englewood Cliffs. N. J. 1966. Prentice‐Hall, Inc. Preis geb. 96.– s. net , 1971 .
[11] S. Barnett. A new formulation of the Liénard–Chipart stability criterion , 1971, Mathematical Proceedings of the Cambridge Philosophical Society.
[12] S. Barnett,et al. Matrix Differential Equations and Kronecker Products , 1973 .
[13] Stephen Barnett,et al. Comparison of algorithms for calculation of g.c.d. of polynomials , 1973 .
[14] J. Maxwell. I. On governors , 1868, Proceedings of the Royal Society of London.
[15] A. MacFarlane. Functional-matrix theory for the general linear electrical network. Part 1: The linear functional matrix , 1965 .
[16] D. Siljak. New algebraic criteria for positive realness , 1971 .
[17] S. Barnett,et al. Greatest common divisor of several polynomials , 1971, Mathematical Proceedings of the Cambridge Philosophical Society.
[18] S. Barnett,et al. Greatest common divisor of two polynomials , 1970 .
[19] S. Barnett. Qualitative analysis of polynomials using matrices , 1970 .
[20] A. Rowe. The Generalized Resultant Matrix , 1972 .
[21] C. Macduffee. Some Applications of Matrics in the Theory of Equations , 1950 .
[22] C. Macduffee. Some Applications of Matrices in the Theory of Equations , 1950 .
[23] R. Sivan,et al. On cancellations, controllability and observability , 1964 .
[24] E. B. Van Vleck. On the Determination of a Series of Sturm's Functions by the Calculation of a Single Determinant , 1899 .
[25] B. P. Molinari,et al. Algebraic solution of matrix linear equations in control theory , 1969 .
[26] E. Jury,et al. Comments on "Innerś approach to some problems of system theory" , 1972 .
[27] A. T. Fuller,et al. Stability criteria for linear systems and realizability criteria for RC networks , 1957, Mathematical Proceedings of the Cambridge Philosophical Society.
[28] P. Smith. Numerical solution of the matrix equation AX + XAT+ B = 0 , 1971 .
[29] E. Jury. Stability, Root Clustering and Inners , 1972 .
[30] H. Rosenbrock. On linear system theory , 1967 .
[31] C. Storey,et al. Analysis and synthesis of stability matrices , 1967 .
[32] Stephen Barnett,et al. Comparison of numerical methods for solving Liapunov matrix equations , 1972 .
[33] Stephen Barnett,et al. Some applications of matrices to location of zeros of polynomials , 1973 .
[34] R. Kálmán. Mathematical description of linear dynamical systems , 1963 .
[35] A. MacFarlane. THE CALCULATION OF FUNCTIONALS OF THE TIME AND FREQUENCY RESPONSE OF A LINEAR CONSTANT COEFFICIENT DYNAMICAL SYSTEM , 1963 .
[36] H. H. Rosenbrock,et al. Efficient computation of least order for a given transfer function , 1967 .
[37] J. L. Howland,et al. Matrix equations and the separation of matrix eigenvalues , 1971 .
[38] A method to determine whether two polynomials are relatively prime , 1970 .
[39] P. Parks. Analytic Methods for Investigating Stability—Linear and Non-Linear Systems. A Survey , 1963 .
[40] S. Barnett,et al. Degrees of greatest common divisors of invariant factors of two regular polynomial matrices , 1969, Mathematical Proceedings of the Cambridge Philosophical Society.
[41] O. Cutteridge. The stability criteria for linear systems , 1959 .
[42] R. J. Duffin,et al. Algorithms for Classical Stability Problems , 1969 .
[43] Alston S. Householder,et al. Bezoutiants, Elimination and Localization , 1970 .
[44] S. Barnett,et al. Sensitivity of stable linear systems , 1972 .
[45] S. Barnett. Location of zeros of a complex polynomial , 1971 .
[46] S. Barnett. Some topics in algebraic systems theory: a survey† , 1974 .
[47] S. Barnett,et al. A Note on the Bezoutian Matrix , 1972 .
[48] S. Barnett. Regular polynomial matrices having relatively prime determinants , 1969, Mathematical Proceedings of the Cambridge Philosophical Society.
[49] W. Fryer,et al. Applications of Routh's Algorithm to Network-Theory Problems , 1959 .
[50] A. Morse,et al. Feedback invariants of linear multivariable systems , 1972 .
[51] M. A. ARBIB,et al. On the relevance of abstract algebra to control theory , 1969, Autom..
[52] R. Kálmán. Algebraic characterization of polynomials whose zeros lie in certain algebraic domains. , 1969, Proceedings of the National Academy of Sciences of the United States of America.
[53] B. Anderson. Application of the Second Method of Lyapunov to the Proof of the Markov Stability Criterion , 1967 .
[54] J. Willems. Least squares stationary optimal control and the algebraic Riccati equation , 1971 .
[55] P. Parks. A new proof of the Routh-Hurwitz stability criterion using the second method of Liapunov , 1962, Mathematical Proceedings of the Cambridge Philosophical Society.
[56] Alston S. Householder,et al. Bigradients and the Problem of Routh and Hurwitz , 1968 .
[57] W. Wolovich. A direct frequency domain approach to state feedback and estimation , 1971, CDC 1971.
[58] O. Cutteridge. Some tests for the number of positive zeros and for the numbers of real and complex zeros of a real polynomial , 1960 .
[59] S. Barnett,et al. Sensitivity of convergent matrices and polynomials , 1973 .
[60] N. Munro. Determination of the least order of transfer-function matrices , 1971 .
[61] S. Barnett. Regular greatest common divisor of two polynomial matrices , 1972, Mathematical Proceedings of the Cambridge Philosophical Society.
[62] E. Jury. "Inners" approach to some problems of system theory , 1971 .