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Exact boundary controllability of coupled hyperbolic equations

100%

Avdonin S., Choque Rivero A., de Teresa L.

International Journal of Applied Mathematics and Computer Science

2013

tom 23

nr 4

701-710

We study the exact boundary controllability of two coupled one dimensional wave equations with a control acting only in one equation. The problem is transformed into a moment problem. This framework has been used in control theory of distributed parameter systems since the classical works of A.G. Butkovsky, H.O. Fattorini and D.L. Russell in the late 1960s to the early 1970s. We use recent results on the Riesz basis property of exponential divided differences.

The truncated matrix trigonometric moment problem with an open gap

100%

Zagorodnyuk S.

Concrete Operators

2015

tom 2

nr 1

This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no. 6, 786-797, and Ukrainian Math. J., 2013, 64, no. 8, 1199- 1214. In this paper we shall study the truncated matrix trigonometric moment problem with an additional constraint posed on the matrix measure MT(δ), δ ∈ B(T), generated by the seeked function M(x): MT(∆) = 0, where ∆ is a given open subset of T (called a gap). We present necessary and sufficient conditions for the solvability of the moment problem with a gap. All solutions of the moment problem with a gap can be constructed by a Nevanlinna-type formula.

Ograniczanie wyników

1 Concrete Operators

1 International Journal of Applied Mathematics and Computer Science

1 Avdonin S.

1 Choque Rivero A.

1 Zagorodnyuk S.

1 de Teresa L.

1 2014

1 2013

Wyniki wyszukiwania

Exact boundary controllability of coupled hyperbolic equations

The truncated matrix trigonometric moment problem with an open gap