论文信息 - Converting high order linear PDEs to first order

Converting high order linear PDEs to first order

Abstract A straightforward way requiring no calculations is offered to convert a system of high order constant coefficient linear PDEs into a system of first order PDEs.

Vakhtang Lomadze

[1] Jan C. Willems,et al. Markov properties for systems described by PDEs and first-order representations , 2006, Syst. Control. Lett..

[2] State and internal variables for linear systems , 2007 .

[3] Christiaan Heij,et al. Introduction to mathematical systems theory , 1997 .

[4] J. Willems. Paradigms and puzzles in the theory of dynamical systems , 1991 .

[5] S. Zampieri,et al. State space realization of 2-D finite-dimensional behaviours , 1993 .

[6] H. Schumacher. Transformations of linear systems under external equivalence , 1988 .

[7] Joachim Rosenthal,et al. Realization by inspection , 1997, IEEE Trans. Autom. Control..

[8] Eva Zerz,et al. First–Order Representations of Discrete Linear Multidimensional Systems , 2000, Multidimens. Syst. Signal Process..

[9] J. Willems,et al. State Maps for Linear Systems , 1997 .

[10] J. Willems,et al. STATE FOR 2-D SYSTEMS , 1989 .

[11] Singular 2D Behaviors: Fornasini–Marchesini and Givone–Roesser Models , 2009 .

[12] Margreta Kuijper,et al. First order representations of linear systems , 1994 .