one-parameter semigroup

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one-parameter semigroup

[¦wən pə¦ram·əd·ər ′sem·i‚grüp]
(mathematics)
A semigroup with which there is associated a bijective mapping from the positive real numbers onto the semigroup.
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He covers the stabilization of linear systems of finite dimension, the basic theory of elliptic operators, the stabilization of linear systems of infinite dimension: static feedback and dynamic feedback, the stabilization of linear systems with Riesz bases: dynamic feedback, output stabilization: the lack of observability and/or controllability conditions, the stabilization of a class of linear control systems generating C0-semigroups, and a computational algorhism for an infinite-dimensional Sylvester's equation.