Tadasuke Matsuda

APPLICATION OF THE STABILITY FEELER TO LATERAL DYNAMICS OF AN AIRCRAFT WITH DISCONNECTED REGIONS

Robust D-stability analyses of uncertain characteristic polynomials are considered. This paper shows that the stability feeler can be applied to robust D-stability analysis of linear time-invariant systems with disconnected stability region in the complex plane. We also show an application of the stability feeler to stability analysis for a lateral dynamics of an aircraft.

Complete Stability Intervals of Symmetric Matrices with Multiple Parameters - Generalization of the Stability Feeler

Abstract In this paper, we propose a new method to derive complete stability intervals of symmetric matrices with multiple uncertain parameters based on generalization of the stability feeler. Recently, we have proposed a method to derive stability intervals of single-parameter dependent matrices by generalization of the stability feeler. The generalization of the stability feeler is applied to multi-parameter cases in this paper. Complete stability intervals for a class of symmetric matrices with multiple uncertain parameters can be obtained by using the proposed method.

Computation method for complete D-stability intervals of a class of matrices based on generalization of the stability feeler

In this paper we study the robust D-stability of single-parameter polynomially-dependent matrices. D-stability of a matrix means that all the eigenvalues are in a prescribed open region, which is symmetric with respect to the real axis in the complex plane. We propose a method based on generalization of the stability feeler. By using this method, we can obtain complete D-stability intervals for a class of single-parameter polynomially-dependent matrices. This method does not require that a nominal matrix is stable. Moreover, we show an application to the analysis of robust D-stability in a physically motivated example.

Computational complexity of robust schur stability analysis by the generalized stability feeler

The paper gives the computational complexity of the robust Schur stability analysis by the generalized stability feeler. Computational complexity of robust stability analysis is considered as an important characteristic to evaluate robust stability analysis methods. We derive the computational complexity from the algorithm of the generalized stability feeler. The result shows that the robust Schur stability can be checked in polynomial time.