منابع مشابه
The complex structured singular value
A tutorial introduction to the complex structured singular value (μ) is presented, with an emphasis on the mathematical aspects of μ. The μ-based methods discussed here have been useful for analyzing the performance and robustness properties of linear feedback systems. Several tests for robust stability and performance with computable bounds for transfer functions and their state-space realizat...
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The Higher-Order SVD (HOSVD) is a generalization of the Singular Value Decomposition (SVD) to higher-order tensors (i.e. arrays with more than two indices) and plays an important role in various domains. Unfortunately, this decomposition is computationally demanding. Indeed, the HOSVD of a third-order tensor involves the computation of the SVD of three matrices, which are referred to as "modes"...
متن کاملOn the Gap Between the Complex Structured Singular Value and Its Convex Upper Bound
The gap between the complex structured singular value of a complex matrix M and its convex upper bound is considered. New necessary and sufficient conditions for the existence of the gap are derived. It is shown that determining whether there exists such a gap is as difficult as evaluating a structured singular value of a reduced rank matrix (whose rank is equal to the multiplicity of the large...
متن کاملThe Gap between Complex Structured Singular Value Μ and Its Upper Bound Is Infinite
Here and below, ‖A‖ always denotes the induced (by the Euclidean norm in Cn) operator norm of A, i. e. its maximal singular value. Entries of the matrices A and ∆ are complex, so we deal with complex structured singular value. The first equality above is the definition of μ, the second is a simple exercise in linear algebra. Note, that if in the definition of μ we take infimum over all matrices...
متن کاملStructured Singular Value Analysis of the Fas Apoptosis Pathway
A systems level understanding of the genetic protocol controlling apoptosis, programmed cell death, is critical to the development of multi-targeted therapies for complex diseases such as cancers and autoimmune diseases. While several methods exist to evaluate system robustness, structured singular values offer the advantage of measuring the robustness of specific biological performances to mul...
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ژورنال
عنوان ژورنال: Automatica
سال: 1993
ISSN: 0005-1098
DOI: 10.1016/0005-1098(93)90175-s