Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability

B Brogliato, A Tanwani - Siam Review, 2020 - SIAM
This survey article addresses the class of continuous-time systems where a system modeled
by ordinary differential equations is coupled with a static or time-varying set-valued operator …

Stability theory of switched dynamical systems

Z Sun, SS Ge - 2011 - Springer
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Dissipative systems analysis and control

B Brogliato, R Lozano, B Maschke, O Egeland - Theory and Applications, 2007 - Springer
Thank you for opening the third edition of this monograph, dedicated to dissipative linear or
nonlinear, autonomous or time-varying, smooth or nonsmooth, single-valued or set-valued …

Stability of piecewise linear systems revisited

Z Sun - Annual Reviews in Control, 2010 - Elsevier
Piecewise linear systems are important in representing and approximating many practical
systems with complex dynamics. While stability analysis of switched linear systems are …

Robust H filtering for switched linear discrete‐time systems with polytopic uncertainties

L Zhang, P Shi, C Wang, H Gao - International journal of …, 2006 - Wiley Online Library
In this paper, the problem of robust H∞ filtering for switched linear discrete‐time systems
with polytopic uncertainties is investigated. Based on the mode‐switching idea and …

Stability and stabilization of a class of multimode linear discrete-time systems with polytopic uncertainties

L Zhang, C Wang, L Chen - IEEE Transactions on Industrial …, 2009 - ieeexplore.ieee.org
In this paper, the problems of stability and stabilization of a class of multimode systems,
which are switched linear discrete-time systems with polytopic uncertainties, are …

Robust stability and stabilisation of uncertain switched linear discrete time-delay systems

L Zhang, P Shi, M Basin - IET Control Theory & Applications, 2008 - IET
The robust stability and stabilisation problems for switched linear discrete-time systems are
studied. The parameter uncertainties in the system under consideration are time-varying but …

H output-feedback control for switched linear discrete-time systems with time-varying delays

L Zhang, P Shi, EK Boukas - International Journal of Control, 2007 - Taylor & Francis
In this paper, the problem of H∞ output feedback control for switched linear discrete-time
systems with time delays is investigated. The time delay is assumed to be time-varying and …

Higher order Moreau's swee** process: Mathematical formulation and numerical simulation

V Acary, B Brogliato, D Goeleven - Mathematical Programming, 2008 - Springer
In this paper we present an extension of Moreau's swee** process for higher order
systems. The dynamical framework is carefully introduced, qualitative, dissipativity, stability …

μ-Dependent model reduction for uncertain discrete-time switched linear systems with average dwell time

L Zhang, EK Boukas, P Shi - International Journal of Control, 2009 - Taylor & Francis
In this article, the model reduction problem for a class of discrete-time polytopic uncertain
switched linear systems with average dwell time switching is investigated. The stability …