Results 261 to 270 of about 20,081 (298)

Fixed Structure Computation of the Structured Singular Value

1993 American Control Conference, 1993
This paper addresses the robest stability and performance analysis problem using a fixed structure approach of the structured singular value. Specifically, using recent results on H 2 / H ? , a Riccati equation approach is formulated for complex-? with constant D-scales along with an H 2 performance bound.
Wassim M. Haddad, Emmanuel G. Collins, Raymond Moser   +2 more
openaire   +1 more source

Conservatism of randomized structured singular value

IEEE Transactions on Automatic Control, 2002
In this note, we study the conservatism of structured singular value computation by a randomized algorithm. It is proved that, if the maximization problem μ(M) = max ρ(MΔ) is solved by generating polynomial number of random Δ samples and then taking the maximum of the function at these sample points, for any fixed lower bound on the confidence level ...
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Accurate Singular Value Decompositions of Structured Matrices

SIAM Journal on Matrix Analysis and Applications, 2000
The author presents a new algorithm for singular value decomposition (SVD) with computational cost \(O(n^3)\) and high relative accuracy, in contrast to conventional numerical algorithms which compute SVD with high absolute accuracy. The new algorithm consists of two general steps: (i) computation of rank-revealing decomposition; (ii) computation of ...
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On the Structure of Generalized Singular Value and QR Decompositions

SIAM Journal on Matrix Analysis and Applications, 1994
The author has previously generalized both singular value decomposition and \(QR\) decomposition from a single matrix to a chain of matrices. Here he obtains formulas for the sizes of the blocks which occur.
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Structured singular value of a repeated complex full‐block uncertainty

International Journal of Robust and Nonlinear Control
The structured singular value (SSV), or μ$$ mu $$, is used to assess the robust stability and performance of an uncertain linear time-invariant system.
Talha Mushtaq, Diganta Bhattacharjee, Peter Seiler   +2 more
exaly   +4 more sources

Structured Singular Value: µ

1999
The linear fractional transformation (LFT) is a common framework suitable for robust stability analysis using arguments based on the small gain theorem. An LFT is an interconnection of operators arranged in a feedback configuration. These operators may be constant matrices, time-domain state-space systems, or frequency-varying transfer functions ...
Rick Lind, Marty Brenner
openaire   +1 more source

Strong stability of a class of difference equations of continuous time and structured singular value problem

Automatica, 2018
This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters tau_i, i = 1, 2, . . . ,K.
Qian Ma, Keqin Gu
exaly   +3 more sources

The real structured singular value is hardly approximable

IEEE Transactions on Automatic Control, 1997
Given a matrix \(M\in C^{n \times n}\) and a set described by \(\Delta= \{\Delta= \text{diag} \{\delta_1 I_{k_1}, \dots, \delta_m I_{k_m}\}\); \(\delta_i\in R\), \(k_i>0\), \(\sum^m_{i=1} k_i=n\) the real \(\mu\) problem is to compute the value \(\mu=: \mu_\Delta (M)=(\inf \{\rho>0; \text{det} (I_n- \Delta M) =0\), \(\Delta \in\rho B(\Delta)\})^{-1}\),
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Bounds on generalized structured singular values

[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 2005
The authors present several bounds on the structured singular value (SSV). They first adopt a generalized notion of which is useful for problems where uncertainties are assumed to be bounded in an l/sub p/-induced matrix norm. Two different types of bounds, in terms of Perron root and interaction parameters, respectively, are given for the new SSV, and
J. Chen, C.N. Nett
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Toward a structure singular value decomposition

26th IEEE Conference on Decision and Control, 1987
The concept of structured singular value was introduced by Doyle [1] as a tool for the analysis and synthesis of linear control systems with structured uncertainties. It is a key to the design of control systems under joint robustness and performance specifications and it nicely complements the H? approach to control system design [2,3]. It has already
Michael K. H. Fan, Andre L. Tits
openaire   +1 more source