activity
20062019
most citedNoether's Theorem on Time Scales

129 citations · 186 across the 7 of their papers we have counts for

collaborators

7 papers

math.OC2019

Finite determination of accessibility and geometric structure of singular points for nonlinear systems

Mohammad Amin Sarafrazi, Ülle Kotta, Zbigniew Bartosiewicz

Exploiting tools from algebraic geometry, the problem of finiteness of determination of accessibility/strong accessibility is investigated for polynomial systems and also for analy…

eess.SY2019

On the finiteness of accessibility test for nonlinear discrete-time systems

Mohammad Amin Sarafrazi, Ewa Pawluszewicz, Zbigniew Bartosiewicz +1

It is shown that for two large subclasses of discrete-time nonlinear systems - analytic systems defined on a compact state space and rational systems - the minimum length for…

math.OC2019

Stability and stabilization of linear positive systems on time scales

ZbigniewBartosiewicz

It is shown that a positive linear system on a time scale with a bounded graininess is uniformly exponentially stable if and only if the characteristic polynomial of the matrix def…

math.OC2012

Linear positive control systems on time scales. Controllability

Zbigniew Bartosiewicz

Positive linear systems on arbitrary time scales are studied. The theory developed in the paper unifies and extends concepts and results known for continuous-time and discrete-time…

math.OC2010★ 57 cited

The Second Euler-Lagrange Equation of Variational Calculus on Time Scales

Zbigniew Bartosiewicz, Natalia Martins, Delfim F. M. Torres

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 th…

math.OC2007★ 129 cited

Noether's Theorem on Time Scales

Zbigniew Bartosiewicz, Delfim F. M. Torres

We show that for any variational symmetry of the problem of the calculus of variations on time scales there exists a conserved quantity along the respective Euler-Lagrange extremal…