Title :
Common diagonal stability of second order interval systems
Author :
Yildiz, Bengi ; Buyukkoroglu, Taner ; Dzhafarov, Vakif
Author_Institution :
Department of Mathematics, Faculty of Science and Letters, Bilecik Seyh Edebali University, Gulumbe Campus, 11210, Turkey
Abstract :
In this paper for second order interval systems we obtain necessary and sufficient conditions for the existence of a common diagonal solutions to the Lyapunov (Stein) inequality. Hurwitz and Schur cases are considered separately. One necessary and sufficient condition is given for n×n interval family of Z-matrices. The obtained results also give diagonal solution in the case of existence.
Keywords :
Asymptotic stability; Educational institutions; Linear matrix inequalities; Robustness; Stability criteria; Common Diagonal Stability; Hurwitz Diagonal Stability; Interval Matrices; Schur Diagonal Stability;
Conference_Titel :
Informatics in Control, Automation and Robotics (ICINCO), 2014 11th International Conference on
