A new robust D-stability condition for real convex polytopic uncertainty

D Peaucelle, D Arzelier, O Bachelier… - Systems & control letters, 2000 - Elsevier
The problem of robust D-stability analysis with respect to real convex polytopic uncertainties
is tackled. A new LMI-based sufficient condition for the existence of parameter-dependent …

A new set of invariants for linear systems--Application to reduced order compensator design

E Jonckheere, L Silverman - IEEE Transactions on Automatic …, 1983 - ieeexplore.ieee.org
A new set of invariants for linear systems--Application to reduced order compensator design
Page 1 IEEE TMWNSACTIONS ON AUTOHATIC CONTROL, VOL. AC-28. NO. 10 …

Pole assignment for uncertain systems in a specified disk by state feedback

G Garcia, J Bernussou - IEEE Transactions on Automatic …, 1995 - ieeexplore.ieee.org
This paper presents a method for assigning the poles in a specified disk by state feedback
for a linear discrete or continuous time uncertain system, the uncertainty being norm …

Generalized Lyapunov equation approach to state-dependent stochastic stabilization/detectability criterion

W Zhang, H Zhang, BS Chen - IEEE Transactions on Automatic …, 2008 - ieeexplore.ieee.org
In this paper, the generalized Lyapunov equation approach is used to study stochastic
stabilization/detectability with state-multiplicative noise. Some practical test criteria for …

-Representation and Applications to Generalized Lyapunov Equations and Linear Stochastic Systems

W Zhang, BS Chen - IEEE Transactions on Automatic Control, 2012 - ieeexplore.ieee.org
This paper introduces an H-representation method to express an n 2× 1 vector X→ as X→=
H [(X)\tilde]. Based on the introduced H-representation approach, several topics are …

Interval stability and stabilization of linear stochastic systems

W Zhang, L Xie - IEEE Transactions on Automatic Control, 2009 - ieeexplore.ieee.org
This technical note applies the spectrum technique to deal with the interval stability and
stabilization of linear stochastic time-invariant systems. First, the notion of (-beta,-alpha) …

Pole assignment of linear uncertain systems in a sector via a Lyapunov-type approach

D Arzelier, J Bernussou, G Garcia - IEEE Transactions on …, 1993 - ieeexplore.ieee.org
The problem of designing robust control laws, in performance and in stability, for uncertain
linear systems is considered. Performances are taken into account using root clustering of …

Mixed H2/H control with pole placement: state feedback case

R Bambang, E Shimemura… - 1993 American Control …, 1993 - ieeexplore.ieee.org
This paper considers state feedback mixed H 2/H∞ control with pole placement via convex
optimization. A generalized Riccati equation and a change of variable technique are …

Quadratic guaranteed cost and disc pole location control for discrete-time uncertain systems

G Garcia - IEE Proceedings-Control Theory and Applications, 1997 - IET
The paper deals with quadratic guaranteed cost control with pole placement in a disk. The
objective is twofold: first to translate to discrete-time systems previous results for continuous …

Geometric properties of LMI regions

OY Kushel - arXiv preprint arXiv:1910.10372, 2019 - arxiv.org
LMI (Linear Matrix Inequalities) regions is an important class of convex subsets of $\mathbb
C $ arising in control theory. An LMI region $\mathfrak D $ is defined by its matrix-valued …