Time-variant Darlington synthesis and induced realizations

• Autorzy: Derk Pik
• Języki publikacji: EN

Abstrakty

EN

For a block lower triangular contraction T, necessary and sufficient conditions are given in order that there exist block lower triangular contractions T_{1,1}, T_{2,1} and T_{2,2} such that T_{1,1} T U_T = [ ] T_{2,1} T_{2,2} is unitary. For the case when T^*_{1,1} and T_{2,2} have dense ranges, all such embeddings are described. Each unitary embedding of UT induces a contractive realization of T , and various properties of this realization are characterized in terms of the unitary embedding.

Słowa kluczowe

EN

time-variant linear systems; contractive linear systems; Darlington synthesis

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: 11
• Numer: 6
• Strony: 1331-1360

Daty

wydano

2001

Twórcy

autor

Derk Pik

• Division of Mathematics and Computer Sciences, Faculty of Sciences, De Boelelaan 1081 a, 1081 HV Amsterdam, The Netherlands

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