Mathematics – Functional Analysis
Scientific paper
1998-04-28
Mathematics
Functional Analysis
LaTeX2e, 37 pages, no figures, Odessa State Academy of Civil Engineering, many improvements. accepted for publication
Scientific paper
We propose the new generalization of linear stationary dynamical systems with discrete time $t\in\mathbb{Z}$ to the case $t\in\nspace{Z}{N}$. The dynamics of such a system can be reproduced by means of its associated multiparametric Lax-Phillips semigroup. We define multiparametric passive, and conservative scattering systems and interpret them in terms of operator colligations, of the associated semigroup and of "energetic" relations for system data. We prove the Agler's type theorem describing the class of holomorphic operator-valued functions on the polydisc $\nspace{D}{N}$ that are the transfer functions of multiparametric conservative scattering systems. Keywords: Passive systems, multiparametric Lax-Phillips semigroup, generalized Schur class, conservative realizations
No associations
LandOfFree
Multiparametric Dissipative Linear Stationary Dynamical Scattering Systems: Discrete Case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multiparametric Dissipative Linear Stationary Dynamical Scattering Systems: Discrete Case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiparametric Dissipative Linear Stationary Dynamical Scattering Systems: Discrete Case will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-680270