A finite-dimensional variational inequality parameterized by t ∈ [0, 1] is studied under the assumption that each point of the graph of its generally set-valued solution mapping is a point of… (More)

A necessary condition for small time local controllability of an analytic control system is proved. This condition is expressed in terms of Lie brackets of the vector fields (generating this control… (More)

In this paper we consider a nonlinear model of a biological wastewater treatment process, based on two microbial populations and two substrates. The model, described by a four-dimensional dynamic… (More)

Starting from states near to a closed set S we want to steer S and to stay always close to S. Unfortunately, open-loop controls are very sensitive to disturbances and can lead to very bad practical… (More)

Abstract. A basic idea of the classical approach for obtaining necessary optimality conditions in optimal control is to construct suitable “needle-like control variations.” We use this idea it to… (More)

A nonlinear model of an anaerobic digester wastewater treatment process is considered. Assuming that the model parameters are unknown but bounded, the asymptotic stabilizability of the control system… (More)

We study the problem of stabilization of time-invariant linear systems with controls which are constrained in a cone. Under small-time local controllability conditions we propose a simple… (More)