Thyristor controlled reactors are high power switching circuits used for static VAR control and the emerging technology of flexible ac transmission. The static VAR control circuit considered in the paper is a nonlinear periodically operated RLC circuit with a sinusoidal source and ideal thyristors with equidistant firing pulses. This paper describes new instabilities in the circuit in which thy...

In this introductory article, we survey the contents of this Theme Issue. This Theme Issue deals with a fertile region of hybrid dynamical systems that are characterized by the coexistence of continuous and discrete dynamics. It is now well known that there exist many hybrid dynamical systems with discontinuities such as impact, switching, friction and sliding. The first aim of this Issue is to...

This paper deals with the discrete-time switched Lur’e problem in finite domain. The aim is to provide a stabilization inside an estimate of the origin’s basin of attraction, large as possible, via a suitable switching rule. The design of this switching rule is based on the min-switching policy and can be induced by sufficient conditions given by Lyapunov-Metzler inequalities. Nevertheless inst...

Saddle-node bifurcations of solitary waves in generalized nonlinear Schrödinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions are analyzed. First, general conditions for these bifurcations are derived. Second, it is shown analytically that the linear stability of these solitary waves does not switch at saddle-node bifurcations, which is i...

Ferroresonance is a highly dynamic and nonlinear power quality phenomenon caused by nonlinear inductances in ferromagnetic materials and power system capacitances. It is notorious for causing severe damage to power systems. This paper carries out an investigation into single-phase transformer ferroresonance initiated by switching transients. A hysteretic core model is implemented which includes...

This document suggests a synthesis of a hybrid observer for switching systems. Such a hybrid observer is made up of a discrete observer identifying the switching signal and another one producing an estimation of the evolution of the continuous state. The developed estimation technique is the moving-horizon-state estimation (MHSE). In fact, this approach enables us to transpose the problem of ob...

|This paper provides an approach toward solving optimal control problems of switched systems. In general, in such problems one needs to nd both optimal continuous inputs and optimal switching sequences, since the system dynamics vary before and after every switching instant. After formulating the optimal control problem, we propose a two stage optimization methodology. Since many practical prob...