The behaviour of perturbations around trajectories of variable structure systems is studied and a sensitivity formula is derived. This formula is used to adapt classical shooting algorithms for computing periodic solutions to piecewise smooth systems. The innu-ence of switching boundaries on the stability of periodic solutions is studied within a control theory approach.

EOOLT’2007 was the first edition of the ECOOP-EOOLT workshop. The workshop is intended to bring researchers associated with different equation-based object-oriented (EOO) modeling languages and different application areas making use of such languages together. The aim of the workshop is to explore common grounds and derive software design principles that may make future EOO modeling languages m...

The paper deals with the basic concepts, mathematics, and design aspects of variable structure systems as well as sliding modes as a principle operation mode. The main arguments in favor of sliding mode control are order reduction, decoupling design procedure, disturbance rejection, insensitivity to parameter variations, and simple implementation by means of power converters. The control algori...

This paper introduces an approach for object-oriented modeling of modular-hierarchical systems that supports inheritance and polymorphic operations. The key ideas of the approach are motivated by requirements that arise from modeling and simulation of variable structure systems. A novel deenition of modular-hierarchical systems with discrete structural changes is given before the modeling appro...

This paper is concerned with uncertain systems subject to periodic disturbances with a known period, and the discrete-time variable structure repetitive control methodology is applied to address the control problem. The notion of quasisliding mode is reviewed in this paper. Switching-function dynamics obtained with the proposed repetitive strategies are desirable, which govern both reaching pha...

The short period variable star MG1-688432 has been discovered to exhibit occasional extremely high energy optical outbursts as 10^31 joules. Outbursts are typically of several hours duration. These events often highly structured, resembling sequential associated releases energy. Twenty years time sequence photometry is presented, indicating a basic sinusoidal light curve mean 6.65d, with some p...

A unilaterally constrained perturbed double double integrator system is studied in this paper. The aim is to establish uniform finite time stability of the non-linear dynamics in the presence of impacts due to the constraints on the position variable. A non-smooth transformation is utilized to first transform the system into a variable structure system that can be studied within the framework o...