Author | Gluesing-Luerssen, Heide. author |
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Title | Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach [electronic resource] / by Heide Gluesing-Luerssen |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2002 |
Connect to | http://dx.doi.org/10.1007/82934 |
Descript | X, 178 p. online resource |
Introduction -- The Algebraic Framework -- The Algebraic Structure of H_0. Divisibility Properties. Matrices over H_0. Systems over Rings: A Brief Survery. The Nonfinitely Generated Ideals of H_0. The Ring H as a Convolution Algebra. Computing the Bezout Identity -- Behaviors of Delay-Differential Systems. The Lattice of Behaviors. Input/Output Systems. Transfer Classes and Controllable Systems. Subbehaviors and Interconnections. Assigning the Characteristic Function. Biduals of Nonfinitely Generated Ideals -- First-Order Representations. Multi-Operator Systems. The Realization Procedure of Fuhrmann. First-Order Realizations. Some Minimality Issues