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An Entropy-based Stability Algorithm for Regulating the Movement of MANET Nodes
( Sang-chul Kim ) 한국인터넷정보학회 2011 KSII Transactions on Internet and Information Syst Vol.5 No.5
This paper proposes an algorithm that enables mobile nodes to implement self-regulated movements in mobile ad-hoc networks (MANETs). It is important for mobile nodes to maintain a certain level of network-based stability by harmonizing these nodes` movements autonomously due to their limited transmission range and dynamic topology. Entropy methods based on relative position are suggested, as a means for mobile nodes to regulate their local movements. Simulations show that an early warning mechanism is suitable to maintain movement-based stability. Isolation can be reduced by 99%, with an increased network cost of 12% higher power consumption, using the proposed algorithm.
DENSITY OF D-SHADOWING DYNAMICAL SYSTEM
Kim, J.M.,Kim, S.G. The Kangwon-Kyungki Mathematical Society 2005 한국수학논문집 Vol.13 No.1
In this paper, we give the notion of the D-shadowing property, D-inverse shadowing property for dynamical systems. and investigate the density of D-shadowing dynamical systems and the D-inverse shadowing dynamical systems. Moreover we study some relationships between the D-shadowing property and other dynamical properties such as expansivity and topological stability.
임민규,박재용,황승민,오영규,박재용,한석영 한국공작기계학회 2009 한국공작기계학회 춘계학술대회논문집 Vol.2009 No.-
The objective of this work is to integrate reliability analysis into topology optimization problems. The reliability index determines design domain and uncertainty value. The elemental sensitivity numbers are calculated from finite element analysis and then converted to the nodal sensitivity numbers in the design domain. A mesh-independency filter using nodal variables is introduced to determine the addition of elements and eliminate unnecessary structural details below a certain length scale in the design. To further enhance the convergence of the optimization process, the accuracy of elemental sensitivity numbers is improved by its historical information. Application of the RBTO model gives a different topology relative to DTO. It is found that the RBTO model yields more reliable optimal topologies than those produced by DTO.
Topological stability and shadowing property for group actions on metric spaces
Yinong Yang 대한수학회 2021 대한수학회지 Vol.58 No.2
In this paper, we introduce the notions of expansiveness, shadowing property and topological stability for group actions on metric spaces and give a version of Walters's stability theorem for group actions on locally compact metric spaces. Moreover, we show that if $G$ is a finitely generated virtually nilpotent group and there exists $g\in G$ such that if $T_g$ is expansive and has the shadowing property, then $T$ is topologically stable.
Measure topologically stable flows
Ahn, Jiweon,Kim, Ki Soo,Lee, Seunghee Elsevier 2018 Journal of differential equations Vol.265 No.3
<P><B>Abstract</B></P> <P>Topological stability is a kind of stability for given dynamical systems in which continuous perturbations are allowed. Very recently, the concept of topological stability for Borel measures with respect to a given homeomorphism was introduced by Lee and Morales in . In this paper, we introduce a notion of measure topological stability for a continuous flow, and prove that if every measure expansive flow has measure shadowing property then it is measure topologically stable.</P>
Sizing, shape and topology optimization of trusses with energy approach
Xuan-Hoang Nguyen,이재홍 국제구조공학회 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.56 No.1
The main objective of this research is to present the procedures of combining topology, shape & sizing optimization for truss structure by employing strain energy as objective function under the constraints of volume fractions which yield more general solution than that of total weight approach. Genetic Algorithm (GA) is used as searching engine for the convergence solution. A number of algorithms from previous research are used for evaluating the feasibility and stability of candidate to accelerate convergence and reduce the computational effort. It is followed by solving problem for topology & shape optimization and topology, shape & sizing optimization of truss structure to illustrate the feasibility of applying the objective function of strain energy throughout optimization stages.
Multi-agent Formation Control in Switching Networks using Backstepping Design
Qin Wang,Qingguang Hua,Yang Yi,Tianping Zhang 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.4
A rigid formation control problem of n agents described by double integrators is proposed in this paper. At the same time, the arbitrary switching topology with no dwell time between consecutive switches is considered. Then the nonsmooth analysis, the backstepping technique and the adaptive perturbation method are employed todesign the globally stable rigid formation control strategy. The main result is that regardless of the topology switching,the global stabilization of the rigid formation, the convergence to a common velocity vector and the collisionavoidance between communicating agents are still guaranteed as long as the graph topology remains rigid all thetime. Simulations are given to demonstrate the effectiveness of the proposed control algorithm.
CONTINUOUS SHADOWING AND STABILITY FOR GROUP ACTIONS
Kim, Sang Jin Korean Mathematical Society 2019 대한수학회지 Vol.56 No.1
Recently, Chung and Lee [2] introduced the notion of topological stability for a finitely generated group action, and proved a group action version of the Walters's stability theorem. In this paper, we introduce the concepts of continuous shadowing and continuous inverse shadowing of a finitely generated group action on a compact metric space X with respect to various classes of admissible pseudo orbits and study the relationships between topological stability and continuous shadowing and continuous inverse shadowing property of group actions. Moreover, we introduce the notion of structural stability for a finitely generated group action, and we prove that an expansive action on a compact manifold is structurally stable if and only if it is continuous inverse shadowing.
Continuous Shadowing and stability for group actions
김상진 대한수학회 2019 대한수학회지 Vol.56 No.1
Recently, Chung and Lee \cite{CL} introduced the notion of topological stability for a finitely generated group action, and proved a group action version of the Walters's stability theorem. In this paper, we introduce the concepts of continuous shadowing and continuous inverse shadowing of a finitely generated group action on a compact metric space $X$ with respect to various classes of admissible pseudo orbits and study the relationships between topological stability and continuous shadowing and continuous inverse shadowing property of group actions. Moreover, we introduce the notion of structural stability for a finitely generated group action, and we prove that an expansive action on a compact manifold is structurally stable if and only if it is continuous inverse shadowing.