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Some new concepts in nonlinear systems

Lakshmi-Bai, C (1961) Some new concepts in nonlinear systems. In: Journal of the Franklin Institute, 272 (2). pp. 100-111.

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Official URL: http://dx.doi.org/10.1016/0016-0032(61)90736-0

Abstract

Some new concepts characterizing the response of nonlinear systems are developed. These new concepts are denoted by the terms, the transient system equivalent, the response vector, and the space-phase components. This third concept is analyzed in comparison with the well-known technique of symmetrical components. The performance of a multiplicative feedback control system is represented by a nonlinear integro-differential equation; its solution is obtained by the principle of variation of parameters. The system response is treated as a vector and is resolved into its space-phase components. The individual effects of these components on the performance of the system are discussed. The suitability of the technique for the transient analysis of higher order nonlinear control systems is discussed.

Item Type: Journal Article
Publication: Journal of the Franklin Institute
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Electrical Sciences > High Voltage Engineering (merged with EE)
Date Deposited: 23 Jun 2010 10:34
Last Modified: 19 Sep 2010 06:09
URI: http://eprints.iisc.ac.in/id/eprint/28465

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