Boundary value problems and convolutional systems over rings of ultradistributions
Advances in the Theory of Control, Signals and Systems with Physical Modeling, 2010•Springer
One dimensional boundary value problems with lumped controls are considered. Such
systems can be modeled as modules over a ring of Beurling ultradistributions with compact
support. This ring appears naturally from a corresponding Cauchy problem. The heat
equation with different boundary conditions serves for illustration.
systems can be modeled as modules over a ring of Beurling ultradistributions with compact
support. This ring appears naturally from a corresponding Cauchy problem. The heat
equation with different boundary conditions serves for illustration.
Abstract
One dimensional boundary value problems with lumped controls are considered. Such systems can be modeled as modules over a ring of Beurling ultradistributions with compact support. This ring appears naturally from a corresponding Cauchy problem. The heat equation with different boundary conditions serves for illustration.
Springer
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