In this paper we consider the problem of diagonal stability of interval systems. We investigate the existence#R##N##R##N#and evaluation of a common diagonal solution to the Lyapunov and Stein matrix inequalities for third order#R##N##R##N#interval systems. We show that these problems are equivalent to minimax problem with polynomial goal#R##N##R##N#functions. We suggest an interesting approach to solve the corresponding game problems. This approach#R##N##R##N#uses the opennes property of the set of solutions. Examples show that the proposed method is effective and#R##N##R##N#sufficiently fast.
['Vakif Dzhafarov', 'Taner Büyükköroźlu', 'Bengi Yildiz']
Diagonal Stability of Uncertain Interval Systems