Title :
Complete instability of a box of polynomials
Author :
Padmanabhan, Prasad ; Hollot, C.V.
Author_Institution :
Dept. of Electr. & Comput. Eng., Massachusetts Univ., Amherst, MA, USA
fDate :
8/1/1992 12:00:00 AM
Abstract :
The authors study the converse of V.L. Kharitonov´s polynomial problem (1978) by asking whether the complete instability of a box of polynomials can be determined from extreme sets. They show that it is not enough to check the (n-4)-dimensional boundary, but prove that the complete instability of the (n-1)-dimensional boundary is sufficient
Keywords :
polynomials; stability; box of polynomials; complete instability; extreme sets; Automatic control; Design engineering; Differential equations; Feedback; Multidimensional signal processing; Multidimensional systems; Polynomials; Robust stability; Speech processing; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on