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
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;
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
DOI :
10.1109/SECON.2009.5174057
