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영문 논문지

홈 홈 > 연구문헌 > 영문 논문지 > JIPS (한국정보처리학회)

JIPS (한국정보처리학회)

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한글제목(Korean Title) Formulating Analytical Solution of Network ODE Systems Based on Input Excitations
영문제목(English Title) Formulating Analytical Solution of Network ODE Systems Based on Input Excitations
저자(Author) Susmit Bagchi                             
원문수록처(Citation) VOL 14 NO. 02 PP. 0455 ~ 0468 (2018. 04)
한글내용
(Korean Abstract)
영문내용
(English 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.
키워드(Keyword) Computer Networks   Convergent Functions   Dynamic Networks   Ordinary Differential Equations                    
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