The Hand Book

Levine, Monroe I.

doi:10.1093/milmed/144.6.401

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“…The finite spectrum assignment problem for delay systems is further studied in Manitius and Triggiani [9] in the space L 2 −h 0 R n . There are many other methods in finite dimensions to solve the stabilizability problems for delay systems theoretically and numerically, i.e., the method of using algebraic Riccati equations, the variants of the Smith predictor, and the continuous pole placement method (see [3,8]). …”

Section: Introductionmentioning

confidence: 99%

Feedback Stabilization of Linear Retarded Systems in Banach Spaces

Nakagiri

Yamamoto

2001

Journal of Mathematical Analysis and Applications

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Feedback stabilizability is studied for linear retarded systems in Banach spaces. Under the assumptions that the control is finite dimensional and the corresponding instantaneous free system generates a compact semigroup, the rank condition for exponential stabilizability is established based on the stabilizability result due to Bhat and Wonham. The condition is expressed in terms of eigenvectors and controllers, and the equivalent spectral mode controllability and observability conditions are given. An application is given to a class of parabolic partial functional differential equations with mixed boundary conditions. 

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Section: Introductionmentioning

confidence: 99%