Iterative least-squares solutions of coupled Sylvester matrix equations

F Ding, T Chen - Systems & Control Letters, 2005 - Elsevier
In this paper, we present a general family of iterative methods to solve linear equations,
which includes the well-known Jacobi and Gauss–Seidel iterations as its special cases. The …

[图书][B] Perturbation theory for matrix equations

M Konstantinov, DW Gu, V Mehrmann, P Petkov - 2003 - books.google.com
The book is devoted to the perturbation analysis of matrix equations. The importance of
perturbation analysis is that it gives a way to estimate the influence of measurement and/or …

Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results

WH Kwon, YS Moon, SC Ahn - International Journal of Control, 1996 - Taylor & Francis
This paper summarizes and investigates the relations of a number of bounds for the
solutions of the algebraic Riccati and Lyapunov equations that have been reported during …

[PDF][PDF] New estimates for solutions of Lyapunov equations

Y Fang, KA Loparo, X Feng - IEEE Transactions on Automatic …, 1997 - fang.ece.ufl.edu
New Estimates for Solutions of Lyapunov Equations [Correspondence] - Automatic Control,
IEEE Transactions on Page 1 408 IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL …

Stabilization of delta operator systems with actuator saturation via an anti-windup compensator

H Rachid, O Lamrabet, EH Tissir - Symmetry, 2019 - mdpi.com
The design of an anti-windup controller for delta operator systems with time-varying delay
and actuator saturation is addressed. By utilizing the input-output approach and three-term …

Memory augmented neural network adaptive controllers: Performance and stability

D Muthirayan, PP Khargonekar - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
In this article, we propose a novel control architecture, inspired from neuroscience, for
adaptive control of continuous-time systems. The proposed architecture, in the setting of …

Solution bounds of the continuous and discrete Lyapunov matrix equations

CH Lee - Journal of Optimization Theory and Applications, 2004 - Springer
A unified approach is proposed to solve the estimation problem for the solution of
continuous and discrete Lyapunov equations. Upper and lower matrix bounds and …

Approach to delay‐dependent robust stability and stabilisation of delta operator systems with time‐varying delays

H El Aiss, H Rachid, A Hmamed… - IET Control Theory & …, 2018 - Wiley Online Library
This study investigates the problem of delay‐dependent stability and stabilisation of
uncertain delta operator systems with time‐varying delay. A new model transformation is …

Matrix bounds of the solutions of the continuous and discrete Riccati equations--a unified approach

CH Lee - International Journal of Control, 2003 - Taylor & Francis
In this paper, a new scheme is introduced to measure the matrix bounds of the continuous
and discrete Riccati equations. By estimating upper and lower matrix bounds of the solution …

On solution bounds for three types of Lyapunov matrix equations: continuous, discrete and unified equations

T Mori, H Kokame - IEEE transactions on automatic control, 2002 - ieeexplore.ieee.org
An approach is proposed to obtain a series of solution bounds for the unified algebraic
Lyapunov matrix equation by making use of its feature, ie, a mediator between the …