Title :
Realization of Lossless Systems Via Constant Matrix Factorizations
Author :
Rapisarda, P. ; Rao, Smitha
Author_Institution :
Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK
Abstract :
We study the realization problem for linear time-invariant systems described by higher-order differential equations, which are J-lossless with constant J. Our approach is based on the factorization of a constant matrix obtained in a straightforward way from the storage function of the system. State equations are obtained directly from this factorization and from the original system representation.
Keywords :
differential equations; matrix algebra; constant matrix factorizations; differential equations; linear time invariant systems; lossless systems realization; state equations; storage function; Image representation; Optimized production technology; Polynomials; Symmetric matrices; Trajectory; Vectors; $J$-lossless behaviors; Behavioral systems theory; image representation; quadratic differential forms; rank-revealing factorization; storage function;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2254640
