Analytical and Veri fied Numerical Results Concerning Interval Continuous-time Algebraic Riccati Equations
Author(s):
Abstract:
This paper focuses on studying the interval continuous-time algebraic Riccati equation A∗X XA Q − XGX = 0, both from the theoretical aspects and the computational ones. In theoretical parts, we show that Sharys results for interval linear systems can only be partially generalized to this interval Riccati matrix equation. We then derive an efficient technique for enclosing the united stable solution set based on a modified variant of the Krawczyk method which enables us to reduce the computational complexity, significantly. Various numerical experiments are also given to show the efficiency of proposed scheme.
Keywords:
Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:2 Issue: 1, Winter and Spring 2017
Pages:
55 to 74
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