Title :
Two counterexamples to ¿iljak´s conjecture
Author :
Hasan, A.A.K. ; Hasan, M.A.K.
Author_Institution :
University of Technology, Systems & Control Department, Baghdad, Iraq
Abstract :
¿iljak´s conjecture concerning the existence of the positive-definite symmetric solution with non-negative elements of the matrix Lypunov equation is shown to be not true in the general case. Two counterexamples to it are given.
Keywords :
control theory; large-scale systems; stability; Siljak´s conjecture; counterexamples; large-scale systems; matrix Lyapunov equation; nonnegative elements; positive-definite symmetric solution; stability;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19850166
