Journal ArticleDOI
Stability radius for structured perturbations and the algebraic Riccati equation
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TLDR
In this paper, the authors generalize the notion of stability radius introduced in [1] to allow for structured perturbations and relate the stability radius to the existence of Hermitian solutions of an algebraic Riccati equation.About:
This article is published in Systems & Control Letters.The article was published on 1986-12-01. It has received 295 citations till now. The article focuses on the topics: Algebraic Riccati equation & Riccati equation.read more
Citations
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Journal ArticleDOI
The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
Journal ArticleDOI
LQG control with an H/sup infinity / performance bound: a Riccati equation approach
TL;DR: In this article, an LQG (linear quadratic Gaussian) control-design problem involving a constraint on H/sup infinity / disturbance attenuation is considered, and an algorithm is developed for the full-order design problem and illustrative numerical results are given.
Proceedings ArticleDOI
LQG control with an H ∞ performance bound: a riccati equation approach
TL;DR: In this paper, an LQG control-design problem involving a constraint on H∞ disturbance attenuation is considered and an algorithm is developed for the full-order design problem and illustrative numerical results are given.
Journal ArticleDOI
A formula for computation of the real stability radius
TL;DR: This paper presents a readily computable formula for the real stability radius with respect to an arbitrary stability region in the complex plane.
Journal ArticleDOI
Stability radii of linear systems
TL;DR: In this paper, the concepts of real and complex stability radii are introduced and some properties of their properties discussed, including their properties in terms of stability and their properties of stability.
References
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Book
The Theory of Matrices
TL;DR: In this article, the Routh-Hurwitz problem of singular pencils of matrices has been studied in the context of systems of linear differential equations with variable coefficients, and its applications to the analysis of complex matrices have been discussed.
Book
Feedback Systems: Input-output Properties
TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.
Journal ArticleDOI
The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)
Journal ArticleDOI
Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
TL;DR: In this article, the problem of sensitivity reduction by feedback is formulated as an optimization problem and separated from the problems of stabilization, and the feedback schemes obtainable from a given plant are parameterized.
Book
The stability of dynamical systems
TL;DR: In this paper, an introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method is presented and the main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations.