SYNTHESIS OF IMPULSE RESPONSE MATRICES BY INTERNALLY STABLE AND PASSIVE REALIZATIONS

被引:26
作者
SILVERMAN, LM
机构
[1] Department of Electrical Engineering, Computer Sciences and Electronics Research Laboratory, University of California, Berkeley
来源
IEEE TRANSACTIONS ON CIRCUIT THEORY | 1968年 / CT15卷 / 03期
关键词
D O I
10.1109/TCT.1968.1082818
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A class of realizations (termed uniform realizations) for time-variable impulse response matrices is denned which plays a role similar to that of minimal (completely controllable and observable) realizations for time-invariant systems; members of the class have bounded coefficients and are uniformly asymptotically stable if the impulse response matrix represents a bounded-input bounded-output (BIBO) stable system. The necessary and sufficient conditions for an impulse response matrix to be uniformly realizable are derived together with an explicit realization procedure. Sufficient conditions for a system to be realizable as a passive network are also obtained, and it is shown that any BIBO-stable uniformly realizable impulse response matrix may be synthesized as the transfer response of a passive network composed of constant positive inductors and resistors and bounded time-variable gyrators. © 1968, IEEE. All rights reserved.
引用
收藏
页码:238 / +
页数:1
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