Name
Title | ||
|---|---|---|
Numerical and symbolic state space realizations of linear systems with algebraic loops |
Abstract | ||
|---|---|---|
This paper proposes a method which gives a state space realization of the linear systems with algebraic loops not only in numerical format but also in symbolic format and guarantees that the order of the system is preserved. The method uses an adjacency matrix in graph theory for the modeling of the control systems and uses the matrix inversion lemma to calculate the inverse of matrix symbolically and to obtain the symbolic state space realizations. We have developed a new software platform for modeling and simulation of control systems using the proposed method. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/CACSD.2008.4627355 | San Antonio, TX |
Keywords | Field | DocType |
control system CAD,graph theory,interconnected systems,linear systems,matrix inversion,state-space methods,symbol manipulation,adjacency matrix inversion lemma,algebraic loop,control system modeling,control system simulation,graph theory,interconnected linear system,software platform,symbolic state space realization | Adjacency matrix,Graph theory,Algebraic number,Linear system,Algebra,Matrix (mathematics),Theoretical computer science,Woodbury matrix identity,State-transition matrix,State space,Mathematics | Conference |
ISBN | Citations | PageRank |
978-1-4244-2221-0 | 0 | 0.34 |
References | Authors | |
1 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Masanobu Koga | 1 | 20 | 2.97 |
| Satoru Anan | 2 | 0 | 0.34 |
| Kentaro Yano | 3 | 0 | 0.68 |