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3 2001

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Optymalizacja parametrów zautomatyzowanych systemów przezbrajalnych.

Czub O., Kopp W.Ju., Obżerin Ju.E., Taranienko W.

Technologia i Automatyzacja Montażu

2001

nr 4

13-17

Factorization of the Popov Function of a Multivariable Linear Distributed Parameter System in the Non-Coercive Case: a Penalization Approach

Pandolfi L.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 6

1249-1260

We study the construction of an outer factor to a positive definite Popov function Pi(iomega) of a distributed parameter system. We assume that Pi(iomega) is a non-negative definite matrix with non-zero determinant. Coercivity is not assumed. We present a penalization approach which gives an outer factor just in the case when there exists any outer factor.

Exact Controllability of an Elastic Membrane Coupled With a Potential Fluid

Hansen S.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 6

1231-1248

We consider the problem of boundary control of an elastic system with coupling to a potential equation. The potential equation represents the linearized motions of an incompressible inviscid fluid in a cavity bounded in part by an elastic membrane. Sufficient control is placed on a portion of the elastic membrane to insure that the uncoupled membrane is exactly controllable. The main result is that if the density of the fluid is sufficiently small, then the coupled system is exactly controllable.