Add to ORKGWe introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin maximum principle) to a class of implicit Lagrangian systems (a notion which is introduced in the paper). We apply this to the mathematical modeling of interconnected mechanical systems and mechanical systems with singularities
Network modelling of unconstrained energy conserving physical systems leads to an intrinsic generali...
Implicit Hamiltonian systems with symmetry are treated by exploiting the notion of symmetry of Dirac...
The paper under review is connected with a previous one by Bressan [Atti Accad. Naz. Lincei Cl. Sci....
We introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin m...
In this paper we consider the well-known implicit Lagrange problem: find a trajectory solution of an...
Abstract. The integrability condition for the Lagrangian implicit dierential systems of (TP; _!), in...
Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric struct...
Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric struct...
This paper develops the notion of implicit Lagrangian systems and presents some of their basic prope...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
A geometric approach to time-dependent optimal control problems is proposed. This formulation is bas...
This note proposes a method of the optimal control for an infinite time optimal control problem. The...
We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer pro...
This paper presents a Hamilton's principle for distributed control of infinite-dimensional systems m...
Network modelling of unconstrained energy conserving physical systems leads to an intrinsic generali...
Implicit Hamiltonian systems with symmetry are treated by exploiting the notion of symmetry of Dirac...
The paper under review is connected with a previous one by Bressan [Atti Accad. Naz. Lincei Cl. Sci....
We introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin m...
In this paper we consider the well-known implicit Lagrange problem: find a trajectory solution of an...
Abstract. The integrability condition for the Lagrangian implicit dierential systems of (TP; _!), in...
Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric struct...
Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric struct...
This paper develops the notion of implicit Lagrangian systems and presents some of their basic prope...
summary:We study dynamics of singular Lagrangian systems described by implicit differential equation...
A geometric approach to time-dependent optimal control problems is proposed. This formulation is bas...
This note proposes a method of the optimal control for an infinite time optimal control problem. The...
We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer pro...
This paper presents a Hamilton's principle for distributed control of infinite-dimensional systems m...
Network modelling of unconstrained energy conserving physical systems leads to an intrinsic generali...
Implicit Hamiltonian systems with symmetry are treated by exploiting the notion of symmetry of Dirac...
The paper under review is connected with a previous one by Bressan [Atti Accad. Naz. Lincei Cl. Sci....