Set invariance in control

F Blanchini - Automatica, 1999 - Elsevier
The properties of positively invariant sets are involved in many different problems in control
theory, such as constrained control, robustness analysis, synthesis and optimization. In this …

Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach

H Lin, PJ Antsaklis - International Journal of Control, 2005 - Taylor & Francis
In this paper, both the asymptotic stability and l∞ persistent disturbance attenuation issues
are investigated for a class of networked control systems (NCSs) under bounded uncertain …

Invariant sets analysis for constrained switching systems

N Athanasopoulos, K Smpoukis… - IEEE Control Systems …, 2017 - ieeexplore.ieee.org
We study discrete time linear constrained switching systems with additive disturbances, in
the general setting where the switching acts on the system matrices, the disturbance sets …

Persistent disturbance attenuation properties for networked control systems

H Lin, PJ Antsaklis - 2004 43rd IEEE Conference on Decision …, 2004 - ieeexplore.ieee.org
In this paper, both the asymptotic stability and l/sup/spl infin//persistent disturbance
attenuation issues are investigated for a class of networked control systems (NCSs) under …

Convergent upper bounds of peak response of LTI and polytopic LTV systems through LMIs

G Chesi, T Shen - Automatica, 2020 - Elsevier
This paper addresses the problem of determining the response peak of dynamical systems,
a classical problem in control systems. The paper starts by considering the impulse …

Computations of probabilistic output admissible set for uncertain constrained systems

T Hatanaka, K Takaba - Automatica, 2008 - Elsevier
This paper considers uncertain constrained systems, and develops two algorithms for
computing a probabilistic output admissible (POA) set which is a set of initial states …

Set invariance and performance analysis of linear systems via truncated ellipsoids

T Thibodeau, W Tong, T Hu - Automatica, 2009 - Elsevier
The objective of this paper is to develop numerically simple and effective methods for system
analysis using truncated ellipsoids. The paper studies linear time-invariant systems subject …

Safety and invariance for constrained switching systems

N Athanasopoulos, K Smpoukis… - 2016 IEEE 55th …, 2016 - ieeexplore.ieee.org
We study discrete time linear switching systems subject to additive disturbances. We
consider two types of constraints, namely on the states and on the switching signal. A …

Asymptotic disturbance attenuation properties for uncertain switched linear systems

H Lin, PJ Antsaklis - Nonlinear Analysis: Hybrid Systems, 2010 - Elsevier
In this paper, the disturbance attenuation properties in the sense of uniformly ultimate
boundedness are investigated for a class of switched linear systems with parametric …

Disturbance attenuation properties for discrete-time uncertain switched linear systems

H Lin, PJ Antsaklis - … Conference on Decision and Control (IEEE …, 2003 - ieeexplore.ieee.org
In this paper, we study a class of discrete-time switched linear systems affected by both
parameter variations and additive l/sup/spl infin//bounded disturbances. The problem of …