Download article

The necessary and sufficient conditions of stability and in stability one class of matrixes linear operators

A. V. Zubov1, O. A. Pustovalova2, I. S. Strecopitov3

AnnotationIn this article is find sufficiently and necessary conditions of stability and un stability one class of matrixes linear operators in terms deny definite in first case and meanings plus and deny indexes in second case quadrat form emit compound they additive representation.
Keywordslinear operators, Hermitian quadratic form, the characteristic polynomial

1Professor chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru

2Lecture chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru

3Post-graduate chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru

Citation: A. V. Zubov , O. A. Pustovalova , I. S. Strecopitov , "[The necessary and sufficient conditions of stability and in stability one class of matrixes linear operators]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:1 (2014) 177–180 (In Russian)