DocumentCode
2678010
Title
Controllability and stability of matrix difference systems
Author
Andreou, Spyros ; Murty, Kanuri N.
Author_Institution
Dept. of Eng. Technol., Savannah State Univ., Savannah, GA, USA
fYear
2009
fDate
5-8 March 2009
Firstpage
98
Lastpage
101
Abstract
This work deals with a discrete-time control system having the form of X (n + 1) = AX (n)B. We study the effects of the matrix B. We find the general solution X (n) by solving the difference equation. Then we tackle the two important issues of controllability and stability. We found out that with the A matrix having eigenvalues outside the unit disk, we may select matrix B such that the final solution is stable and more importantly asymptotically stable. Proven theorems along with examples are presented.
Keywords
asymptotic stability; controllability; difference equations; discrete time systems; eigenvalues and eigenfunctions; matrix algebra; asymptotic stability; difference equation; discrete-time control system; eigenvalue; matrix difference system controllability; Control systems; Controllability; Difference equations; Genetic expression; Information analysis; Polynomials; Rockets; Samarium; Stability; Sufficient conditions;
fLanguage
English
Publisher
ieee
Conference_Titel
Southeastcon, 2009. SOUTHEASTCON '09. IEEE
Conference_Location
Atlanta, GA
Print_ISBN
978-1-4244-3976-8
Electronic_ISBN
978-1-4244-3978-2
Type
conf
DOI
10.1109/SECON.2009.5174057
Filename
5174057
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