### Information and Knowledge Sharing in NATO NEC

**Ladislav BUŘITA, Vlastimil MALÝ**

#### Abstract

The paper deals with the latest experience that was presented at the NATO Network Enabled Capability (NEC) community. NEC is a phenomenon that is being discussed and implemented in all NATO Armed Forces and in some non-NATO Nations as well. The theme is divided into the following parts: NATO NEC Principles and Information Management; Information Management and Security Issues; Nation NEC Examples, NEC Organisations; Lessons Learned, NATO NEC in Missions; EU Contribution to NNEC; and Way Ahead.

#### Keywords

NNEC, Allied Command Transformation (ACT), Information Management, Information and Knowledge Sharing, Information Assurance, Technology, Decision Support

Full paper 2011-11-23

### Applications of Graphs Spectral Properties in Technical Sciences

**Soňa PAVLÍKOVÁ**

#### Abstract

The paper outlines a few options of use of spectral graph theory to solve the problems of isomorphism of mechanisms in mechanics (electrical circuits can be represented using graphs as well). Spectral graph theory has wide application in micro and nano- technologies, using graphs could be represented hydrocarbons, the graph spectrum corresponds to the energy levels of the given molecule.

The goal of this paper is to provide the reader with basic information about the possibilities of using spectral graph theory to solve various problems in other areas and also to present an option to get graph spectrum using the graph structure, without solving characteristic polynomial of an adjacency matrix.

#### Keywords

Izomorphism, Divizor, Graph, Spectrum of Graphs, Eigenvalues of Matrix

Full paper 2011-05-11

### On applicability of systems approach to social networks

**František DAŘENA**

#### Abstract

Social networks are one of the latest and fastest growing phenomena on the Internet. The paper focuses on application of systems approach, an important problem solving approach for many disciplines, to social network domain which is an interdisciplinary branch with tendencies of specialization. Application of systems thinking serves a constructive role to serious work toward understanding various types of systems and their dynamics and as well as facilitates design of the structure and behavior of social systems. In order to apply the systems view, the system must be identified on a real network and essential system properties must be defined. Subsequently, the methods of systems analysis can be used in order to solve particular problems related to social networks. Systems analysis is presented as a procedure that applies systems approach to real systems in order to understand their structure, behavior and objectives. Attention is paid to application of mathematical theories, to structural problems (related to common interfaces, paths, decomposition, boundary identification, similarity etc.), definition of systems behavior using proper systems state vector and systems state transition function.

#### Keywords

Systems approach, Social networks, Systems analysis

Full paper 2011-04-05

### Control of the Unstable System of the Inverted Pendulum Using the Polynomial Approach

**Jiří MARHOLT, František GAZDOŠ, Petr DOSTÁL**

#### Abstract

This paper deals with the design of feedback control system for the unstable nonlinear system of the inverted pendulum using the polynomial approach. The resultant controllers enable stabilization of the pendulum rod in the unstable top position. Spectral factorization technique together with the pole-placement method are utilized for the controller design and robust vs. non-robust setting of the tuning poles is presented and discussed.

#### Keywords

Unstable system, Inverted pendulum PS600, Feedback control, Polynomial approach

Full paper 2011-03-23

### Solving Eigenvalues Applications from the Point of Theory of Graphs

**Soňa PAVLÍKOVÁ**

#### Abstract

Eigenvalues of linear mappings are applied in many applications in physics, electrical engineering and in other areas of science, especially in fields of military technologies. The dimer problem will be described in the paper and possible ways to resolve this problem in terms of graphs spectrums will be presented. There are many methods for finding eigenvalues of matrixes, either by decomposition of a matrix to canonical forms or numerical methods. The solution of this problem will be explained from the viewpoint of perspective graph theory. Each matrix can be represented as a labeled graph and eigenvalues of the matrix then correspond to the graph spectrum. In case, where a linear mapping matrix is similar to an unsigned integer matrix, other possibilities of further examination of eigenvalues in terms of graph theory are available. Also the necessary and sufficient condition, when a square matrix is diagonally similar to unsigned matrix, will be introduced.

Since the possible range of technical problems coverage is much more over the size of this paper, the concrete application for technical problems will be introduced in the next paper of the author.

#### Keywords

Dimer Problem, Graph, Spectrum of Graphs, Eigenvalues of Matrices

Full paper 2011-03-09