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Minimum energy control of positive time-varying linear systems

Kaczorek T.

Acta Mechanica et Automatica

2015

Vol. 9, no. 4

225--228

The minimum energy control problem for the positive time-varying linear systems is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by a numerical example.

Integral representations at the boundary for Stokes flow and related symmetric Galerkin formulation

Capuani D., Bigoni D., Brun M.

Archives of Mechanics

2005

Vol. 57, nr 5

363-385

A symmetric Galerkin boundary element formulation is given for the first time for two-dimensional, steady and incompressible flow. The formulation requires the derivation of certain integral representations (whose importance extends beyond the present application) for velocity gradient and pressure at the flow boundary; these turn out to be coupled at angular points of the contour profile.