We prove a necessary optimality condition for isoperimetric problems under nabla-
differentiable curves. As a consequence, the recent results of Caputo (2008), that put …

The fundamental problem of the calculus of variations on time scales concerns the
minimization of a delta-integral over all trajectories satisfying given boundary conditions. In …

The paper gives an overview of an algebraic approach based on differential 1-forms,
developed for the study of nonlinear control systems. The purpose of the paper is to describe …

The purpose of this paper is to present a necessary and sufficient condition for irreducibility
of nonlinear input–output delta differential equations. The condition is presented in terms of …

The paper describes an algebraic construction of the inversive differential ring, associated
with a nonlinear control system, defined on a nonhomogeneous but regular time scale. The …

Unified approach to the problem of full decoupling via output feedback is considered for the
cases of continuoustime and discrete-time nonlinear system models as well as for discrete …

Nonlinear control systems on homogeneous time scales are studied. First the concepts of
reduction and irreducibility are extended to higher order delta-differential input-output …

This paper investigates the variational approach using nabla (denoted as∇) within the
framework of time scales. By employing two different methods, we derive the Euler …

The paper addresses a state space realization problem of a set of higher order delta-
differential input–output equations, defined on a homogeneous time scale. The algebraic …

The paper addresses the problem of static state feedback linearization for nonlinear control
systems defined on homogeneous time scales. Necessary and sufficient conditions for …