[图书][B] Control systems theory and applications for linear repetitive processes

E Rogers, K Galkowski, DH Owens - 2007 - books.google.com
After motivating examples, this monograph gives substantial new results on the analysis and
control of linear repetitive processes. These include further applications of the abstract …

Lyapunov theory for 2-D nonlinear Roesser models: Application to asymptotic and exponential stability

N Yeganefar, N Yeganefar, M Ghamgui… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
This technical note deals with a general class of discrete 2-D possibly nonlinear systems
based on the Roesser model. We first motivate the introduction of Lyapunov type definitions …

Control systems analysis for the Fornasini-Marchesini 2D systems model–progress after four decades

K Galkowski, E Rogers - International Journal of Control, 2018 - Taylor & Francis
The development of a control systems theory for multidimensional linear systems, ie systems
with more than one independent variable is an area where a very significant volume of …

Exact LMI Conditions for Stability and Gain Analysis of 2-D Mixed Continuous–Discrete Time Systems via Quadratically Frequency-Dependent Lyapunov Functions

G Chesi - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
This article addresses the problems of establishing structural stability and the gain of 2-D
mixed continuous–discrete time systems. The first contribution is to show that Lyapunov …

Modules and behaviours in nD systems theory

J Wood - Multidimensional Systems and Signal Processing, 2000 - Springer
This paper is intended both as an introduction to the behavioural theory of nD systems, in
particular the duality of Oberst and its applications, and also as a bridge between the …

Trajectory control and interconnection of 1D and nD systems

P Rocha, J Wood - SIAM Journal on Control and Optimization, 2001 - SIAM
In this paper we examine the relationship between control viewed as concatenation of
trajectories and control viewed as interconnection of systems. We show that, for one …

Comments on “On stabilization of 2-D Roesser models”

O Bachelier, W Paszke, N Yeganefar… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this note, we clarify the statement given in the above paper, claiming that the condition for
state feedback stabilisation tends to necessity. Actually, it is possible to find examples for …

LMI-based fixed order output feedback synthesis for two-dimensional mixed continuous-discrete-time systems

G Chesi, RH Middleton - IEEE Transactions on Automatic …, 2017 - ieeexplore.ieee.org
This paper addresses the problem of designing stabilizing fixed order output feedback
controllers for two-dimensional mixed continuous-discrete-time systems. The paper starts by …

Structural stability, asymptotic stability and exponential stability for linear multidimensional systems: the good, the bad and the ugly

O Bachelier, T Cluzeau, R David… - … Journal of Control, 2018 - Taylor & Francis
In this paper, we investigate three concepts of stability for linear two-dimensional systems:
the 'good'structural stability (an algebraic property linked to the location of the roots of a …

Asymptotic stability of two-dimensional discrete systems with saturation nonlinearities

T Ooba - IEEE Transactions on Circuits and Systems I: Regular …, 2012 - ieeexplore.ieee.org
This paper investigates the asymptotic stability of discrete dynamical systems in a class of
two-dimensional (2-D) systems whose dynamical parts are described in the Fornasini …