Absolute k-stability of linear distributed n-ports

Author

Bhaya, Amit ; Desoer, Charles A.

Volume

Issue

fYear

1985

fDate

7/1/1985 12:00:00 AM

Firstpage

625

Lastpage

634

Abstract

This paper considers exclusively linear time-invariant distributed $n$ -ports specified by a convolution operator: $\\breve {b} = \\breve {S} \\ast \\breve {a}$ . It defines $I/0$ stability in the time-domain and characterizes it for a broad class of such $n$ -ports. It characterizes absolutely stable $n$ -ports. Finally, it defines absolute $k$ -stability--i.e., stability of given $n$ -port under any loading by passive $k_{1}$ -ports, $k_{2}$ -ports, $\\cdots , k_{r}$ ,-ports, where $k_{1} + k_{2} + \\cdots + k_{r} = n$ . The necessary and sufficient conditions for absolute $k$ -stability are obtained using Doyle\´s $\\mu$ functional. The paper is self-contained.

Keywords

Absolute stability, linear systems; General circuits and systems theory; Linear circuits; Circuits and systems; Convolution; Helium; Impedance; Laplace equations; Resistors; Scattering; Stability; Sufficient conditions; Time domain analysis;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/TCS.1985.1085775

Filename

1085775

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1193115