In this paper we consider optimal sampled-data control problems on time scales with inequality state constraints. A Pontryagin maximum principle is established, extending to the constrained case existing results in scale literature. The proof based Ekeland variational and concept of implicit spike variations adapted setting. main result then applied continuous-time min-max problems, a maximal v...

An often cited motivation for using decomposition-based optimization methods to solve engineering system design problems is the ability to apply discipline-specific optimization techniques. For example, structural optimization methods have been employed within a more general system design optimization framework. We propose an extension of this principle to a new domain: control design. The simu...

We construct discrete analogues of Dirac structures by considering the geometry of symplectic maps and their associated generating functions, in a manner analogous to the construction of continuous Dirac structures in terms of the geometry of symplectic vector fields and their associated Hamiltonians. We demonstrate that this framework provides a means of deriving implicit discrete Lagrangian a...

Penyakit Tuberkulosis (TB) disebabkan karena bakteri mycrobacterium tuberculosis dan merupakan penyakit menular yang mempengaruhi paru-paru. Di Kalimantan Barat tercatat jumlah kasus baru TB sebanyak 3.463 dengan angka insidens 70, 21 per 100.000 penduduk. Sedangkan persentase kesembuhan 67, 5% pasien paru dinyatakan sembuh, rincian dari 3611 mendapatkan pengobatan, 2436 sembuh. Dengan pemberia...

This study concentrates on a nonlinear deterministic mathematical model for the impact of pathogens human disease transmission with optimal control strategies. Both pathogen-free and coexistence equilibria are computed. The basic reproduction number R0, which plays vital role in epidemiology, was derived. qualitative analysis revealed scenario both together R0. local stability is established vi...

Network queue management can be modelled as an optimal control problem and is aimed at controlling the dropping rate, in which state variables are instantaneous length respectively. One way to solve it by using indirect method, namely forward–backward sweeping based on Pontryagin minimum principle derive trajectory of rate. However, there exists some performance balance issues network queue, su...

We construct discrete analogues of Dirac structures by considering the geometry of symplectic maps and their associated generating functions, in a manner analogous to the construction of continuous Dirac structures in terms of the geometry of symplectic vector fields and their associated Hamiltonians. We demonstrate that this framework provides a means of deriving implicit discrete Lagrangian a...

Hausdorff Abelian groups, Pontryagin duality and the principal.These notes provide a brief introduction to topological groups with a pdws pdf special. Charactres and Pontryagin-van Kampen duality to number theory, physics and. These notes provide a brief introduction to topological groups with a special. Section 7 is peacebuilding pdf dedicated to Pontryagin-van Kampen duality.We offer an eleme...