Authors:
Bengi Yildiz
1
;
Taner Büyükköroğlu
2
and
Vakif Dzhafarov
2
Affiliations:
1
Bilecik Seyh Edebali University, Turkey
;
2
Anadolu University, Turkey
Keyword(s):
Hurwitz Diagonal Stability, Schur Diagonal Stability, Common Diagonal Stability, Interval Matrices.
Related
Ontology
Subjects/Areas/Topics:
Adaptive Signal Processing and Control
;
Informatics in Control, Automation and Robotics
;
Intelligent Control Systems and Optimization
;
Modeling, Analysis and Control of Discrete-event Systems
;
Modeling, Analysis and Control of Hybrid Dynamical Systems
;
Optimization Algorithms
;
Signal Processing, Sensors, Systems Modeling and Control
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.