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Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements

100%

Choque-Rivero A. E.

Special Matrices

2017

tom 5

nr 1

303-318

We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the truncated Hausdorff matrix moment (THMM) problem in the nondegenerate case. Extremal solutions of the THMM problem are described with the help of matrix continued fractions.

Controllability of nonlinear impulsive Ito type stochastic systems

100%

Sakthivel R.

International Journal of Applied Mathematics and Computer Science

2009

tom 19

nr 4

589-595

In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Special Matrices

1 Choque-Rivero A. E.

1 Sakthivel R.

1 2017

1 2009

Wyniki wyszukiwania

Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements

Controllability of nonlinear impulsive Ito type stochastic systems