An iterative algorithm for the stability analysis of dynamic interval systems

In this paper, a new iterative algorithm is proposed to analyze the stability of dynamic interval systems. Compared with existing researches, this algorithm takes much less computation time to obtain the superior of maximal eigenvalues and the inferior of minimal eigenvalues of a real interval matrix with real eigenvalues, under given precision. As a result, the stability of a dynamic interval system, which is determined by eigenvalues of its corresponding interval matrix, can be judged within a shorter time period. Furthermore, if the dynamic interval system is concluded to be stable, the output of our iterative algorithm also indicates the accurate maximal stability margin of this system. Finally, three numerical examples are given to demonstrate the applicability and effectiveness of this algorithm.