Formulating Analytical Solution of Network ODE Systems Based on Input Excitations - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Journal of Information Processing Systems Year : 2018

Formulating Analytical Solution of Network ODE Systems Based on Input Excitations

Susmit Bagchi
  • Function : Author
  • PersonId : 1005413

Abstract

The concepts of graph theory are applied to model and analyze dynamics of computer networks, biochemical networks and, semantics of social networks. The analysis of dynamics of complex networks is important in order to determine the stability and performance of networked systems. The analysis of non-stationary and nonlinear complex networks requires the applications of ordinary differential equations (ODE). However, the process of resolving input excitation to the dynamic non-stationary networks is difficult without involving external functions. This paper proposes an analytical formulation for generating solutions of nonlinear network ODE systems with functional decomposition. Furthermore, the input excitations are analytically resolved in linearized dynamic networks. The stability condition of dynamic networks is determined. The proposed analytical framework is generalized in nature and does not require any domain or range constraints.
Fichier principal
Vignette du fichier
JIPS_paper.pdf (384.8 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

hal-01790028 , version 1 (16-05-2018)

Identifiers

Cite

Susmit Bagchi. Formulating Analytical Solution of Network ODE Systems Based on Input Excitations. Journal of Information Processing Systems, 2018, 14 (2), pp.455-468. ⟨10.3745/JIPS.03.0092⟩. ⟨hal-01790028⟩

Collections

INSMI TDS-MACS
240 View
292 Download

Altmetric

Share

Gmail Facebook X LinkedIn More