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Publikováno v:
IEEE Access, Vol 9, Pp 65482-65489 (2021)
A set of positive integers A is called a $g$ -Golomb ruler if the difference between two distinct elements of A is repeated up to $g$ times. This definition is a generalization of the Golomb ruler $(g = 1)$ . In this paper, we obtain new construction
Autor:
David Devadze, Vakhtang Beridze
Publikováno v:
EWDTS
The present paper is devoted to optimal control problems whose behavior is described by first-order differential equations on the plane with Riemann-Hilbert Boundary conditions. Necessary and sufficient optimality conditions are obtained. A numerical
Autor:
Pingzhi Yuan
Publikováno v:
IWSDA
Permutation polynomials are an interesting subject of mathematics and have applications in other areas of mathematics and engineering. In this paper, we present two classes of explicit permutation polynomials over $\mathbb{F}_q$ from two piecewise fu
Autor:
Huiqin Jiang, Zehui Shao, Sakineh Nazari-Moghaddam, Enqiang Zhu, Seyed Mahmoud Sheikholeslami, Pu Wu
Publikováno v:
IEEE Access, Vol 6, Pp 74737-74746 (2018)
A Roman dominating function (RDF) on a graph $G$ is a function $f: V(G) \rightarrow \{0, 1, 2\}$ for which every vertex assigned 0 is adjacent to a vertex assigned 2. The weight of an RDF is the value $\omega (f) = \sum _{u \in V(G)}f(u)$ . The minim
Publikováno v:
ISIT
The interpolation based algebraic decoding for Reed-Solomon (RS) codes can correct errors beyond half of the code’s minimum Hamming distance through constructing a minimum polynomial Q(x,y) and finding its y-roots. The progressive algebraic soft de
Publikováno v:
CDC
The paper deals with output feedback stabilization of exponentially stable systems by integral controllers. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop systems. An example of parabolic PDE (partial di
Autor:
Yoshinori Yamasaki, Hyungrok Jo
Publikováno v:
ISITA
Ramanujan graph is an optimal combinatorial structure of expander graph in a sense of random walks on graphs. In general, it is difficult to find explicit constructions of Ramanujan graphs. There are only a few explicit Ramanujan graphs so far such a
Autor:
Najeeb Abdulaleem
Publikováno v:
2018 International Conference on Applied Mathematics & Computational Science (ICAMCS.NET).
In this paper, the class of E-differentiable vector optimization problems with both inequality and equality constraints is considered. For such (not necessarily) differentiable vector optimization problems, The so-called scalar and vector Wolfe E-dua
Publikováno v:
SYNASC
This paper describes a method for generating integer matrices which, when QR-decomposed through Householder transformations, require only rational computations and give rational results. The motivation is pedagogical: we want to avoid the unnecessary
Publikováno v:
ASCC
The paper deals with the design of a boundary optimal controller for a general model of parabolic-hyperbolic PDEs coupled with an ODE. The augmented infinite-dimensional state space representation has been used in order to solve the control problem.