Author
Fan-Ren Chang
Bio: Fan-Ren Chang is an academic researcher from National Taiwan University. The author has contributed to research in topics: Realization (systems) & Matrix polynomial. The author has an hindex of 2, co-authored 4 publications receiving 47 citations.
Papers
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TL;DR: In this article, the Cayley-Hamilton theorem is extended from the case of one matrix to that of two matrices, and the developed theorem is suitable for the standard form pencil sE − A.
36 citations
TL;DR: In this paper, explicit formulas for doubly coprime matrix fraction descriptions (MFDs) of the transfer matrix of a linear time-invariant state-space system are given in terms of a controllable and observable state space realization of the transferred matrix.
9 citations
TL;DR: In this paper, the generalized sampled data hold functions (GDSH) were used to solve the problem of input-output decoupling without stability in a square continuous-time LTI plant.
2 citations
TL;DR: In this paper, a straightforward approach is presented to realize a completely singular system for in arbitrary polynomial matrix, two special coordinate farms frequently used in the analysis and design of singular systems can be simultaneous obtained.
Abstract: A straightforward approach is presented to realize a completely singular system for in arbitrary polynomial matrix, two special coordinate farms frequently used in the analysis and design of singular systems can be simultaneous obtained.
1 citations
Cited by
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TL;DR: The Cayley-Hamilton theorem is extended to real polynomial matrices in n variables to prove the inequality of the following type: For α ≥ 1, β ≥ 1 using LaSalle's inequality.
Abstract: The Cayley-Hamilton theorem is extended to real polynomial matrices in n variables. The known extensions of the classical Cayley-Hamilton theorem are particular cases of the proposed extension.
22 citations
TL;DR: This note considers the solution to the generalized Sylvester matrix equation AV + BW = V F with F being an arbitrary matrix, where V and W are the matrices to be determined.
21 citations
11 Dec 1996
TL;DR: The Cayley-Hamilton theorem is extended for a standard pair of matrices partitioned into blocks that commute in pairs in this article, which is a particular case for E=I of the extended Cayley Hamilton theorem.
Abstract: The Cayley-Hamilton theorem is extended for a standard pair of matrices partitioned into blocks that commute in pairs Victoria's theorem (1982) is a particular case for E=I of the extended Cayley-Hamilton theorem
20 citations
TL;DR: Several explicit parametric solutions to the generalized Sylvester-conjugate matrix equation are given and can provide all the degrees of freedom which are represented by a free parameter matrix.
18 citations
TL;DR: The classical Cayley–Hamilton theorem is extended to different orders fractional continuous-time linear systems and to fractional electrical circuits.
Abstract: The classical Cayley–Hamilton theorem is extended to different orders fractional continuous-time linear systems and to fractional electrical circuits.
17 citations