This is an expository paper about the fundamental mathematical notion of starshapedness,
emphasizing the geometric, analytical, combinatorial, and topological properties of …

The problem of estimating reachable sets of nonlinear dynamical control systems with
quadratic nonlinearity and with uncertainty in initial states is studied. We assume that the …

The problem of estimating reachable sets of nonlinear impulsive control systems with
quadratic nonlinearity and with uncertainty in initial states and in the matrix of system is …

We consider the problem of constructing exterior and interior approximations to the
reachability sets of a specific class of bilinear control systems with a geometric constraint for …

The problem of estimating reachable sets of nonlinear dynamical control systems with
uncertainty in initial states is studied when it is assumed that only the bounding set for initial …

The paper deals with the state estimation problem for impulsive control systems under
bilinear uncertainty. It is assumed that we know the bounding set for initial system states and …

We consider control synthesis problems for linear and bilinear differential systems. Two
types of problems are studied: when controls are additive and when they enter the matrix of …

Problems of feedback terminal target control for linear and bilinear uncertain systems are
considered. We continue the development of control synthesis using polyhedral …

The problem of describing the reachable sets of nonlinear dynamical control systems with
combined bilinear and quadratic nonlinearity and with uncertainty in initial states is studied …

The problem of reachability for differential inclusions is an active topic in the recent control
theory. Its solution provides an insight into the dynamics of an investigated system and also …