BIBO STABILITY OF A CLASS OF LINEAR TIME‐VARIABLE SEMI‐STATE SYSTEMS AND APPLICATION IN THE ANALYSIS OF RLC ELECTRICAL NETWORKS-Reference-Cited by-同舟云学术

BIBO STABILITY OF A CLASS OF LINEAR TIME‐VARIABLE SEMI‐STATE SYSTEMS AND APPLICATION IN THE ANALYSIS OF RLC ELECTRICAL NETWORKS

Published:1987-03-01 Issue:3 Volume:6 Page:129-135
ISSN:0332-1649
Container-title:COMPEL - The international journal for computation and mathematics in electrical and electronic engineering
language:en
Short-container-title:

Author:

BAJIĆ Vladimir B.

Abstract

Sufficient conditions for bounded input‐bounded output (BIBO) stability are established for a class of time‐variable linear semi‐state systems. These conditions are expressed directly in terms of system parameters and reduce to testing of negative semi‐definiteness of a time‐varying matrix. Simple algebraic conditions convenient for the computer applications are derived for this purpose. It is shown how the results obtained can be applied in the analysis of linear time‐variable RLC electrical networks.

Publisher

Emerald

Subject

Applied Mathematics,Electrical and Electronic Engineering,Computational Theory and Mathematics,Computer Science Applications

Reference13 articles.

1. Control System Analysis and Design Via the “Second Method” of Lyapunov: I—Continuous-Time Systems

2. Some properties of solutions of the semi-state model for nonlinear nonstationary systems

3. Theorems on the bounds of solutions of semi-state models

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