Journal ArticleDOI
An upper bound on the product of eigenvalues of an optimal linear system
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In this article, a best possible upper bound on the product of the eigenvalues of the closed-loop system is obtained, and the relation between the weighting factors of a quadratic performance criterion and the closed loop system is investigated.Abstract:
Explicit relations between the weighting factors of a quadratic performance criterion and the closed-loop system are developed. A best possible upper bound on the product of the eigenvalues of the closed-loop system is attained.read more
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Journal ArticleDOI
Canonical forms for linear multivariable systems
TL;DR: In this article, a class of well-known canonical forms for single-input or single-output controllable and observable systems are extended to multivariable systems, and it is shown that, unlike the single variable case, the canonical forms are generally not unique, but that the structure of the canonical form can be controlled to some extent by the designer.
Journal ArticleDOI
Feedback invariants of linear multivariable systems
W. M. Wonham,A.S. Morse +1 more
TL;DR: In this article, the invariant structure of a controllable matrix pair (A, B) under a transformation group G, which includes the regular linear coordinate transformations and also transformations of'state feedback' type which take A into A + BF for some F, is studied.