Title :
A necessary and sufficient condition for the stability of nonnegative interval discrete systems
Author :
Shafai, B. ; Perev, K. ; Cowley, D. ; Chehab, Y.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
fDate :
6/1/1991 12:00:00 AM
Abstract :
The stability of nonnegative discrete systems with interval uncertainty is discussed. For this class of system a necessary and sufficient condition for the stability is provided when all elements of the system matrix are assumed to be specified by intervals. An illustrative example is used as a guideline to demonstrate the effectiveness of the result. Simple computational tests are suggested, and their usefulness in this framework is discussed. The possible extension of this result to more general classes of systems is addressed
Keywords :
discrete systems; matrix algebra; stability; interval uncertainty; necessary conditions; nonnegative interval discrete systems; stability; sufficient condition; system matrix; Adaptive control; Automatic control; Equations; Guidelines; Polynomials; Robust stability; Sampling methods; Stability criteria; Sufficient conditions; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
