Passivity and linear system stability-Reference-Cited by-同舟云学术

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Passivity and linear system stability

Published:1976 Issue:1 Volume:34 Page:19-27
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Venkatesh Y. V.

Abstract

Using the network concept of passivity (or positive realness), new criteria for stability and instability of linear systems (with time-varying coefficients) are derived.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1976-34-01/S0033-569X-1976-0687250-8/S0033-569X-1976-0687250-8.pdf

Reference10 articles.

1. Stability criteria for 𝑛th order, homogeneous linear differential equations;Infante, E. F.,1967

2. Global variation criteria for stability of linear time-varying systems;Venkatesh, Y. V.;SIAM J. Control,1971

3. R. W. Brockett, Optimisation theory and the converse of the Circle Criterion, Proc. 1965 NEC, pp. 697–701

4. The application of differential inequalities to the theory of stability;Kordunjanu, K.;An. \c{S}ti. Univ. ``Al. I. Cuza'' Ia\c{s}i Sec\c{t}. I (N.S.),1960

5. Periodically time-varying system: An instability criterion;Bickart, Theodore A.,1967

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