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Smith, Francis L.; Bittner, John R.; Allen, Robert C.; Winn, Marie

doi:10.1080/10948008509488311

Cited by 1 publication

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“…The criticisms include the point that nature is rarely linear to the point that the usual design procedures for feedback gains often completely obliterate the original dynamics of the system. The philosopher and engineer, G. Allen Smith ( 1981) has complained that control theorists think they could make a rock soar like an eagle if there was just a way to implement large enough gains. It is partially toward tliis criticism that this paper is addressed.…”

Section: Introductionmentioning

confidence: 99%

Symmetric linear systems: an application of algebraic systems theory

Hazewinkel

Martin

1983

International Journal of Control

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Dynamical systems which contain several identical subsystems occur in a variety of applications ranging from command and control systems and discretization of partial differential equations, to the stability augmentation of pairs of helicopters lifting a large mass. Linear models for such systems display certain obvious symmetries. In this paper. we discuss how these symmetries can be incorporated into a mathematical model that utilizes the modern theory of algebraic systems. Such systems are inherently related to the representation theory of algebras over fields. We will show that any control scheme which respects the dynamical structure either implicitly or explicitly uses the underlying algebra.

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Section: Introductionmentioning

confidence: 99%