Add to ORKGThe boundedness of themotions of the dynamical system described by a differential inclusionwith control vector is studied. It is assumed that the right-hand side of the differential inclusion is upper semicontinuous. Using positionally weakly invariant sets, sufficient conditions for boundedness of the motions of a dynamical system are given. These conditions have infinitesimal form and are expressed by the Hamiltonian of the dynamical system. Copyright q 2009 N. Ege and K. G. Guseinov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1
The favourable reception of the first edition and the encouragement received from many readers have ...
The volume contains papers selected from those submitted by mathematicians lecturing at the miniseme...
In the part 2, theorem 3.1 stutied in part 1([15]) is proved first. The proof is obtained via a way ...
In this paper we consider the model of dynamic system in the form a differential inclusion. The prop...
A theorem is presented which gives a necessary condition for a trajectory of a so called generalized...
We consider a mechanical system which is controlled by means of moving constraints. Namely, we assum...
In this paper, a mathematical model of the control object in the form of a differential inclusion wi...
Uncontrolled systems (x) over dot is an element of Ax, where A is a non-empty compact set of matrice...
The Classical Pontryagin maximum principle for boundary trajectories of control systems consists of ...
AbstractUnder suitable assumptions, trajectories of semilinear control systems in Banach spaces corr...
Abstract. We consider dynamic optimization problems for systems governed by differential inclusions....
A mechanical system with linear velocity forces and nonlinear homogeneous positional ones is studied...
AbstractWe consider a mechanical system which is controlled by means of moving constraints. Namely, ...
Linear expansions of minimum dynamic systems and linear almost periodical differential equations are...
Properties of control systems described by differential inclusions are well established in the liter...
The favourable reception of the first edition and the encouragement received from many readers have ...
The volume contains papers selected from those submitted by mathematicians lecturing at the miniseme...
In the part 2, theorem 3.1 stutied in part 1([15]) is proved first. The proof is obtained via a way ...
In this paper we consider the model of dynamic system in the form a differential inclusion. The prop...
A theorem is presented which gives a necessary condition for a trajectory of a so called generalized...
We consider a mechanical system which is controlled by means of moving constraints. Namely, we assum...
In this paper, a mathematical model of the control object in the form of a differential inclusion wi...
Uncontrolled systems (x) over dot is an element of Ax, where A is a non-empty compact set of matrice...
The Classical Pontryagin maximum principle for boundary trajectories of control systems consists of ...
AbstractUnder suitable assumptions, trajectories of semilinear control systems in Banach spaces corr...
Abstract. We consider dynamic optimization problems for systems governed by differential inclusions....
A mechanical system with linear velocity forces and nonlinear homogeneous positional ones is studied...
AbstractWe consider a mechanical system which is controlled by means of moving constraints. Namely, ...
Linear expansions of minimum dynamic systems and linear almost periodical differential equations are...
Properties of control systems described by differential inclusions are well established in the liter...
The favourable reception of the first edition and the encouragement received from many readers have ...
The volume contains papers selected from those submitted by mathematicians lecturing at the miniseme...
In the part 2, theorem 3.1 stutied in part 1([15]) is proved first. The proof is obtained via a way ...