[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 …

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 …

Necessary and sufficient LMI conditions for stability and performance analysis of 2-D mixed continuous-discrete-time systems

G Chesi, RH Middleton - IEEE Transactions on Automatic …, 2014 - ieeexplore.ieee.org
This paper proposes necessary and sufficient conditions for stability and performance
analysis of 2-D mixed continuous-discrete-time systems that can be checked with convex …

Stability of two-dimensional linear systems with singularities on the stability boundary using LMIs

S Knorn, RH Middleton - IEEE Transactions on Automatic …, 2013 - ieeexplore.ieee.org
<? Pub Dtl=""?> This paper gives results on stability and asymptotic stability of two-
dimensional systems using linear matrix inequalities (LMIs). Despite a long history of …

Stability analysis of ND discrete state–space systems

A Kanellakis, A Tawfik, P Agathoklis - Systems Science & Control …, 2024 - Taylor & Francis
Several stability criteria for N-dimensional linear shift-invariant discrete systems described in
the state–space model are presented. The criteria are the ND state–space versions of the …

Robust output feedback stabilization for two-dimensional continuous systems in Roesser form

J Lam, S Xu, Y Zou, Z Lin, K Galkowski - Applied mathematics letters, 2004 - Elsevier
This paper considers the problem of robust stabilization via dynamic output
feedbackcontrollers for uncertain two-dimensional continuous systems described by the …

Stability analysis of 2‐D discrete and continuous state‐space systems

A Kanellakis, A Tawfik… - IET Control Theory & …, 2022 - Wiley Online Library
This paper presents new stability conditions for two‐dimensional (2‐D) systems in state‐
space description. Both discrete and continuous systems are studied. These results are …

New tests for the stability of 2-D Roesser models

O Bachelier, T Cluzeau, D Mehdi… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article aims at broadening the panel of the existing conditions for structural stability of 2-
D Roesser models. The models can be discrete, continuous, or mixed discrete/continuous …

A frequency-partitioning approach to stability analysis of two-dimensional discrete systems

X Li, J Lam, H Gao, Y Gu - Multidimensional Systems and Signal …, 2015 - Springer
Although there exist necessary and sufficient conditions for two-dimensional (2-D) discrete
systems, their application scope is almost limited to system analysis only and no work has …

Lyapunov equation for the stability of 2-D systems

PA Bliman - Multidimensional Systems and Signal Processing, 2002 - Springer
An analogue of the characterization of asymptotic stability of the 1-D systems by the
solvability of associated Lyapunov equation is proposed here for 2-D systems. It is shown …