The problem of confining the trajectory of a linear discrete-time system in a given polyhedral
domain is addressed through the concept of (A, B)-invariance. First, an explicit …

We discuss the behaviour of a thin soap film facing a frame element: the pressure in the
Plateau border around the frame is lower than the film pressure, and the film thins out over a …

Fault-tolerant control theory is a well-studied topic but the use of the sets in detection,
isolation and/or reconfiguration is rather tangential. The authors of this book propose a …

The regulation problem of linear discrete-time systems under state and control constraints is
investigated. In the first part of the paper, necessary and sufficient conditions for the …

The scope of the thesis is the analysis and design of fault tolerant control (FTC) schemes
through the use of set-theoretic methods. In the framework of multisensor schemes, the faults …

We consider controlled invariance for cones, translated cones, polyhedra and various
special polyhedral structures. For any polyhedron, if controlled invariance occurs, then all …

This paper provides an explicit characterisation of the (A, B)-invariance property of
polyhedral sets with respect to linear continuous-time systems. A typical application of the …

The l/sup 1/control problem is formulated for linear discrete-time systems subject to
persistent bounded additive disturbances. Given an l/sup 1/performance bound, the problem …

One simple way to prove it is to use Proposition 4. 1 of the paper noting that the existence of
r> 0 such that S is (A, B)-invariant for the Euler Approximating System is equivalent to the …

In this paper, the disturbance attenuation properties for a class of linear hybrid systems are
investigated, and a hybrid optimal persistent disturbance attenuation control problem is …