The Multishift QR Algorithm. Part II: Aggressive Early Deflation

K Braman, R Byers, R Mathias - SIAM Journal on Matrix Analysis and …, 2002 - SIAM
Aggressive early deflation is a QR algorithm deflation strategy that takes advantage of matrix
perturbations outside of the subdiagonal entries of the Hessenberg QR iterate. It identifies …

Controller and observer design for Lipschitz nonlinear systems

PR Pagilla, Y Zhu - Proceedings of the 2004 American Control …, 2004 - ieeexplore.ieee.org
We consider three related problems for stabilization of a class of Lipschitz nonlinear
systems:(1) full-state feedback controller design,(2) observer design, and (3) output …

Competing theories of value: a spectral analysis

T Mariolis - Contributions to Political Economy, 2021 - academic.oup.com
This paper is based on a spectral–controllability analysis of the Sraffian price system and
develops a relevant reconstruction of the theory of value. It shows that (i) the hitherto …

A decentralized output feedback controller for a class of large-scale interconnected nonlinear systems

PR Pagilla, Y Zhu - 2005 - asmedigitalcollection.asme.org
The decentralized output feedback control problem for a class of large-scale interconnected
nonlinear systems is considered. The nonlinear interconnection function of each subsystem …

Zero measure Sraffian economies: New insights from actual input–output tables

T Mariolis, P Veltsistas - Contributions to Political Economy, 2022 - academic.oup.com
New theoretical and empirical evidence reveals that the actual input–output table
economies of single production, which are usually studied in the value–capital theory …

Computing the distance to an uncontrollable system

M Wicks, R DeCarlo - … of the 28th IEEE Conference on Decision …, 1989 - ieeexplore.ieee.org
Algorithms for computing the distance from a particular controllable system to the closest
uncontrollable system are presented. An interpretation of the problem is suggested, and …

Controllability and stability radii for companion form systems

C Kenney, AJ Laub - Mathematics of Control, Signals and Systems, 1988 - Springer
This paper describes a unifying approach to the computation of certain robustness
measures for some calculations involving state space models in control and system theory …

New methods for estimating the distance to uncontrollability

M Gu - SIAM Journal on Matrix Analysis and Applications, 2000 - SIAM
Controllability is a fundamental concept in control theory. Given a linear control system, we
present new algorithms for estimating its distance to uncontrollability, ie, the norm of the …

The observability radius of networks

G Bianchin, P Frasca, A Gasparri… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
This paper studies the observability radius of network systems, which measures the
robustness of a network to perturbations of the edges. We consider linear networks, where …

The structured controllability radius of symmetric (brain) networks

T Menara, V Katewa, DS Bassett… - 2018 Annual American …, 2018 - ieeexplore.ieee.org
In this paper we propose and analyze a novel notion of controllability of network systems
with linear dynamics and symmetric weights. Namely, we quantify the controllability degree …