[图书][B] Handbook of linear algebra

L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

[图书][B] Matrix diagonal stability in systems and computation

E Kaszkurewicz, A Bhaya - 2012 - books.google.com
This monograph presents a collection of results, observations, and examples related to
dynamical systems described by linear and nonlinear ordinary differential and difference …

On LTI output strictly negative-imaginary systems

P Bhowmick, S Patra - Systems & Control Letters, 2017 - Elsevier
This paper deals with the notion of output strictly negative-imaginary systems. A definition is
given for the class of output strictly negative-imaginary systems and a lemma is proposed to …

A unifying framework for the SISO circle criterion and other quadratic stability criteria

RN Shorten, O Mason, F O'Cairbre… - International Journal of …, 2004 - Taylor & Francis
Full article: A unifying framework for the SISO circle criterion and other quadratic stability criteria
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting

D Alpay, ME Luna-Elizarrarás, M Shapiro… - Israel Journal of …, 2018 - Springer
We study Gleason's problem, rational functions and spaces of regular functions in the setting
of split-quaternions. There are two natural symmetries in the algebra of split-quaternions …

Commutation relations and stability of switched systems: a personal history

D Liberzon - arXiv preprint arXiv:2304.11155, 2023 - arxiv.org
This expository article presents an overview of research, conducted mostly between the mid-
1990s and late 2000s, that explores a link between commutation relations among a family of …

Convex invertible cones and positive real analytic functions

N Cohen, I Lewkowicz - Linear algebra and its applications, 2007 - Elsevier
In this paper we study classical spaces of analytic functions which are convex cones and
closed under the involution f→ 1/f. These include the spaces of positive real, positive real …

Set of matrices with common Lyapunov solution

T Ando - Archiv der Mathematik, 2001 - Springer
Set of matrices with common Lyapunov solution Page 1 0003-889X/01/010076-09 $ 3.30/0
Arch. Math. 77 (2001) 76–84 © Birkhäuser Verlag, Basel, 2001 Set of matrices with common …

A proof of global attractivity for a class of switching systems using a non‐quadratic Lyapunov approach

R Shorten, FO Cairbre - IMA Journal of Mathematical Control …, 2001 - academic.oup.com
A sufficient condition for the existence of a Lyapunov function of the form V (x)= x Tx P, P=
PT> 0, P∈ R n× n, for the stable linear time invariant systems ẋ= i A x, i A∈ R n× n, i A∈ …

Convex invertible cones of state space systems

N Cohen, I Lewkowicz - Mathematics of Control, Signals and Systems, 1997 - Springer
In the paper [CL1] the notion of a convex invertible cone, cic, of matrices was introduced and
its geometry was studied. In that paper close connections were drawn between this cic …