Title :
Comments, with reply, on "Stability of a polytope of matrices: counterexamples" by B.R. Barmish et al
Author :
Soh, Yeng Chai ; Foo, Y.K. ; Barmish, B. Ross ; Fu, Minyue ; Saleh, Saleh
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
Abstract :
The commenters show that the counterexample given in the above-mentioned paper (ibid., vol.33, no.6, p.569-72, June 1988) does not invalidate the conjecture about the necessary and sufficient conditions for the stability of interval matrices. Comments on the relationship between interval matrices and polytopes of polynomials are also given. The authors reply that their counterexample is valid and attribute the misunderstanding to insufficiently precise wording in their paper.<>
Keywords :
matrix algebra; polynomials; interval matrices; necessary conditions; polytope of matrices; polytopes of polynomials; stability; sufficient conditions; Artificial intelligence; Delay effects; Minerals; Petroleum; Polynomials; Robust stability; Stability analysis; Sufficient conditions; Systems engineering and theory; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
