Authors:
Vakif Dzhafarov (Cafer)
1
;
Taner Büyükköroğlu
1
and
Bengi Yildiz
2
Affiliations:
1
Faculty of Science and Anadolu University, Turkey
;
2
Faculty of Science and Letters and Bilecik Seyh Edebali University, Turkey
Keyword(s):
Hurwitz Diagonal Stability, Schur Diagonal Stability, Common Diagonal Solution, Interval Matrices, Game Problem.
Related
Ontology
Subjects/Areas/Topics:
Informatics in Control, Automation and Robotics
;
Modeling, Analysis and Control of Discrete-event Systems
;
Modeling, Analysis and Control of Hybrid Dynamical Systems
;
Signal Processing, Sensors, Systems Modeling and Control
Abstract:
In this paper we consider the problem of diagonal stability of interval systems. We investigate the existence
and evaluation of a common diagonal solution to the Lyapunov and Stein matrix inequalities for third order
interval systems. We show that these problems are equivalent to minimax problem with polynomial goal
functions. We suggest an interesting approach to solve the corresponding game problems. This approach
uses the opennes property of the set of solutions. Examples show that the proposed method is effective and
sufficiently fast.