کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591168 | 1335013 | 2012 | 77 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Symmetries in special classes of passive state/signal systems Symmetries in special classes of passive state/signal systems](/preview/png/4591168.png)
This article is devoted to a further development of the passive linear continuous time invariant s/s (state/signal) systems theory. The main focus is on the connections between certain symmetry properties (such as reality and reciprocity) of the external characteristics of a s/s system and the respective symmetry of the evolution of the inner state of the system. These connections are investigated for the following classes of passive s/s systems: simple conservative, controllable energy preserving, observable co-energy preserving, optimal, ⁎-optimal, and minimal balanced, out of which the last three are introduced and studied here for the first time. In each of these six classes a s/s system is defined by its external characteristics up to unitary similarity. Our results are connected with the respective results in the input/state/output systems theory, where the external characteristics of a system are scattering, impedance or transmission matrices.
Journal: Journal of Functional Analysis - Volume 262, Issue 12, 15 June 2012, Pages 5021-5097