10 citations · 36 across the 6 of their papers we have counts for
8 papers
Generalized evolution semigroups and general dichotomies
Nicolae Lupa, Liviu Horia Popescu
We introduce a special class of real semiflows, which is used to define a general type of evolution semigroups, associated to not necessarily exponentially bounded evolution famili…
A complete characterization of exponential stability for discrete dynamics
Nicolae Lupa, Liviu Horia Popescu
For a discrete dynamics defined by a sequence of bounded and not necessarily invertible linear operators, we give a complete characterization of exponential stability in terms of i…
Symmetries and conservation laws of Hamiltonian systems
Liviu Popescu
In this paper we study the infinitesimal symmetries, Newtonoid vector fields, infinitesimal Noether symmetries and conservation laws of Hamiltonian systems. Using the dynamical cov…
Admissible Banach function spaces and nonuniform stabilities
Nicolae Lupa, Liviu Horia Popescu
For nonuniform exponentially bounded evolution families defined on Banach spaces, we introduce a class of Banach function spaces, whose norms are completely determined by the nonun…
Admissible Banach function spaces for linear dynamics with nonuniform behavior on the half-line
Nicolae Lupa, Liviu Horia Popescu
For nonuniform exponentially bounded evolution families on the half-line we introduce a class of Banach function spaces on which we define nonuniform evolution semigroups. We compl…
Symmetries of second order differential equations on Lie algebroids
Liviu Popescu
In this paper we investigate the relations between semispray, nonlinear connection, dynamical covariant derivative and Jacobi endomorphism on Lie algebroids. Using these geometric…
Geometrical structures on the cotangent bundle
Liviu Popescu
In this paper we study the geometrical structures on the cotangent bundle using the notions of adapted tangent structure and regular vector fields. We prove that the dynamical cova…
The geometry of Lie algebroids and its applications to optimal control
Liviu Popescu
The paper presents the geometry of Lie algebroids and its applications to optimal control. The first part deals with the theory of Lie algebroids, connections on Lie algebroids and…