On the Kronecker Canonical Form of Singular Mixed Matrix Pencils
暂无分享,去创建一个
[1] Shun Sato. Combinatorial relaxation algorithm for the entire sequence of the maximum degree of minors in mixed polynomial matrices , 2015, JSIAM Lett..
[2] M. Iri,et al. Structural solvability of systems of equations —A mathematical formulation for distinguishing accurate and inaccurate numbers in structural analysis of systems— , 1985 .
[3] Ching-tai Lin. Structural controllability , 1974 .
[4] Satoru Iwata,et al. Computing the Maximum Degree of Minors in Mixed Polynomial Matrices via Combinatorial Relaxation , 2011, IPCO.
[5] Kazuo Murota,et al. Combinatorial canonical form of layered mixed matrices and its application to block-triangularization of systems of linear/nonlinear equations , 1987 .
[6] Volker Mehrmann,et al. Differential-Algebraic Equations: Analysis and Numerical Solution , 2006 .
[7] Michael Tiller,et al. Introduction to Physical Modeling with Modelica , 2001 .
[8] H. Rosenbrock,et al. State-space and multivariable theory, , 1970 .
[9] James S. Thorp,et al. The singular pencil of a linear dynamical system , 1973 .
[10] J. Pryce. A Simple Structural Analysis Method for DAEs , 2001 .
[11] Kazuo Murota,et al. A matroid-theoretic approach to structurally fixed modes of control systems , 1989 .
[12] P. Dooren,et al. An improved algorithm for the computation of Kronecker's canonical form of a singular pencil , 1988 .
[13] Kazuo Murota,et al. On the Degree of Mixed Polynomial Matrices , 1998, SIAM J. Matrix Anal. Appl..
[14] James Demmel,et al. The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II: software and applications , 1993, TOMS.
[15] C. Pantelides. The consistent intialization of differential-algebraic systems , 1988 .
[16] K. Murota. Use of the concept of physical dimensions in the structural approach to systems analysis , 1985 .
[17] K. Murota. Refined study on structural controllability of descriptor systems by means of matroids , 1987 .
[18] Margreta Kuijper,et al. First order representations of linear systems , 1994 .
[19] Stephan Trenn,et al. Addition to: The quasi-Kronecker from for matrix pencils , 2012 .
[20] A. Ilchmann. Time-varying linear systems and invariants of system equivalence , 1985 .
[21] E. Hairer,et al. Solving Ordinary Differential Equations I , 1987 .
[22] James Demmel,et al. The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I: theory and algorithms , 1993, TOMS.
[23] S. Hosoe. Determination of generic dimensions of controllable subspaces and its application , 1980 .
[24] SATORU IWATA,et al. Combinatorial Analysis of Singular Matrix Pencils , 2007, SIAM J. Matrix Anal. Appl..
[25] T. Berger,et al. Hamburger Beiträge zur Angewandten Mathematik Controllability of linear differential-algebraic systems-A survey , 2012 .
[26] Stephan Trenn,et al. The Quasi-Kronecker Form For Matrix Pencils , 2012, SIAM J. Matrix Anal. Appl..
[27] W. Wonham. Linear Multivariable Control: A Geometric Approach , 1974 .
[28] P. Dooren. The generalized eigenstructure problem in linear system theory , 1981 .
[29] Ying Xu,et al. Efficient Theoretic and Practical Algorithms for Linear Matroid Intersection Problems , 1996, J. Comput. Syst. Sci..
[30] Kazuo Murota,et al. Matrices and Matroids for Systems Analysis , 2000 .
[31] P. Dooren. The Computation of Kronecker's Canonical Form of a Singular Pencil , 1979 .
[32] Ricardo Riaza,et al. Differential-Algebraic Systems: Analytical Aspects and Circuit Applications , 2008 .
[33] Satoru Iwata,et al. On the Kronecker Canonical Form of Mixed Matrix Pencils , 2011, SIAM J. Matrix Anal. Appl..
[34] W. Wolovich. Linear multivariable systems , 1974 .
[35] K. Murota,et al. Structure at infinity of structured descriptor systems and its applications , 1991 .
[36] William H Cunningham,et al. Improved Bounds for Matroid Partition and Intersection Algorithms , 1986, SIAM J. Comput..
[37] J. Pearson,et al. Structural controllability of multiinput linear systems , 1976 .
[38] Kazuo Murota,et al. On the Smith normal form of structured polynomial matrices , 1991 .
[39] James Demmel,et al. Accurate solutions of ill-posed problems in control theory , 1988 .
[40] Bo Kågström,et al. RGSD an algorithm for computing the Kronecker structure and reducing subspaces of singular A-lB pencils , 1986 .
[41] Peter Lancaster,et al. The theory of matrices , 1969 .
[42] L. Silverman,et al. Characterization of structural controllability , 1976 .
[43] K. Murota. Systems Analysis by Graphs and Matroids: Structural Solvability and Controllability , 1987 .