scholarly journals Stabilization Methods for a Multiagent System with Complex Behaviours

2015 ◽  
Vol 2015 ◽  
pp. 1-19 ◽  
Author(s):  
Florin Leon
Keyword(s):  
Stability Analysis ◽  
Multiagent Systems ◽  
Multiagent System ◽  
A Priori ◽  
Heuristic Methods ◽  
Asymptotically Stable ◽  
Interaction Protocol ◽  
Different Types ◽  
Observed Behaviour ◽  
The Stability

The main focus of the paper is the stability analysis of a class of multiagent systems based on an interaction protocol which can generate different types of overall behaviours, from asymptotically stable to chaotic. We present several interpretations of stability and suggest two methods to assess the stability of the system, based on the internal models of the agents and on the external, observed behaviour. Since it is very difficult to predict a priori whether a system will be stable or unstable, we propose three heuristic methods that can be used to stabilize such a system during its execution, with minimal changes to its state.

scholarly journals Stability Analysis for Autonomous Dynamical Switched Systems through Nonconventional Lyapunov Functions

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
V. Nosov ◽  
J. A. Meda-Campaña ◽  
J. C. Gomez-Mancilla ◽  
J. O. Escobedo-Alva ◽  
R. G. Hernández-García
Keyword(s):  
Stability Analysis ◽  
Finite Number ◽  
Switched Systems ◽  
Lyapunov Functions ◽  
Switched System ◽  
Linear Functions ◽  
Asymptotically Stable ◽  
Multiple Lyapunov Functions ◽  
Stability Theorems ◽  
The Stability

The stability of autonomous dynamical switched systems is analyzed by means of multiple Lyapunov functions. The stability theorems given in this paper have finite number of conditions to check. It is shown that linear functions can be used as Lyapunov functions. An example of an exponentially asymptotically stable switched system formed by four unstable systems is also given.

Stability analysis and optimal control of an epidemic model with vaccination

2015 ◽  
Vol 08 (03) ◽  
pp. 1550030 ◽  
Author(s):  
Swarnali Sharma ◽  
G. P. Samanta
Keyword(s):  
Optimal Control ◽  
Stability Analysis ◽  
Epidemic Model ◽  
Asymptotically Stable ◽  
Control Pair ◽  
Globally Asymptotically Stable ◽  
The Stability ◽  
The Cost ◽  
Objective Functional ◽  
Disease Free

In this paper, we have developed a compartment of epidemic model with vaccination. We have divided the total population into five classes, namely susceptible, exposed, infective, infective in treatment and recovered class. We have discussed about basic properties of the system and found the basic reproduction number (R0) of the system. The stability analysis of the model shows that the system is locally as well as globally asymptotically stable at disease-free equilibrium E0when R0< 1. When R0> 1 endemic equilibrium E1exists and the system becomes locally asymptotically stable at E1under some conditions. We have also discussed the epidemic model with two controls, vaccination control and treatment control. An objective functional is considered which is based on a combination of minimizing the number of exposed and infective individuals and the cost of the vaccines and drugs dose. Then an optimal control pair is obtained which minimizes the objective functional. Our numerical findings are illustrated through computer simulations using MATLAB. Epidemiological implications of our analytical findings are addressed critically.

Stability and Vibrations of Geometrically Nonlinear Cylindrically Orthotropic Circular Plates

1984 ◽  
Vol 51 (2) ◽  
pp. 354-360 ◽  
Author(s):  
D. Shilkrut
Keyword(s):  
Stability Analysis ◽  
Qualitative Methods ◽  
Dynamic Method ◽  
Numerical Results ◽  
Geometrically Nonlinear ◽  
Circular Plates ◽  
Different Types ◽  
The Stability ◽  
Thermal Influence ◽  
Cylindrically Orthotropic

The stability analysis of axisymmetrical equilibrium states of geometrically nonlinear, orthotropic, circular plates that are deformed by multiparameter loading, including thermal influence, is presented. The dynamic method (method of small vibrations) is used to accomplish this purpose. The behavior of the plate in different cases is revealed. In particular, it is shown that two different types of snapping processes can occur. The values of frequencies of small eigenvibrations from various cases have been calculated. These investigations are realized by numerical and qualitative methods. Here only the numerical results are presented.

On the Stability of the Impact Damper

1966 ◽  
Vol 33 (3) ◽  
pp. 586-592 ◽  
Author(s):  
S. F. Masri ◽  
T. K. Caughey
Keyword(s):  
Exact Solution ◽  
Stability Analysis ◽  
Asymptotically Stable ◽  
Impact Damper ◽  
The Stability ◽  
The Impact

The exact solution for the symmetric two-impacts-per-cycle motion of the impact damper is derived analytically, and its asymptotically stable regions are determined. The stability analysis defines the zones where the modulus of all the eigenvalues of a certain matrix relating conditions after each of two consecutive impacts is less than unity.

State Emulator-Based Adaptive Architectures for Resilient Networked Multiagent Systems Over Directed and Time-Varying Graphs

2015 ◽  
Author(s):  
Gerardo De La Torre ◽  
Tansel Yucelen
Keyword(s):  
Multiagent Systems ◽  
Multiagent System ◽  
Time Varying ◽  
System Behavior ◽  
Adverse Conditions ◽  
Distributed Adaptive Control ◽  
Adaptive Architectures ◽  
Exogenous Disturbances ◽  
The Stability ◽  
Networked Multiagent Systems

In this paper, we present adaptive architectures for networked multiagent systems operating over directed networks to achieve resilient coordination in the presence of disturbances. Specifically, we consider a class of unforeseen adverse conditions consisting of persistent exogenous disturbances and present a state emulator-based distributed adaptive control architecture to retrieve the nominal networked multiagent system behavior. The stability properties of the proposed architecture are analyzed using results from Lyapunov stability and matrix mathematics. Illustrative numerical examples are provided to demonstrate the theoretical findings.

The stability analysis of implants installed in osteotomies with different types of controlled bone defects

2015 ◽  
Vol 30 (1) ◽  
pp. 210-215 ◽  
Author(s):  
Cong Zhou ◽  
Lingmin Yu ◽  
Chen Dong ◽  
Liyao Cong ◽  
Hongbing Shi ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Bone Defects ◽  
Different Types ◽  
The Stability

The Stability Analysis on the Different Types of Single Layer Latticed Shell

2013 ◽  
Vol 788 ◽  
pp. 598-601
Author(s):  
Jun Qiang Wu ◽  
Yu Cui
Keyword(s):  
Stability Analysis ◽  
Static Load ◽  
Single Layer ◽  
Static Stability ◽  
Different Types ◽  
Practical Engineering ◽  
Small Structure ◽  
The Stability ◽  
Lattice Shell ◽  
Better Than

This single-layer spherical reticulated shell has the advantages of reasonable stress,beautiful appearance ,fast construction,is widely applied in practical engineering. Through the static stability analysis of three kinds of single-layer spherical lattice shell structure using ansys, we get them in the uniform deformation under static load, the modal, buckling load. The results show that: The Kiewitt latticed shells displacement is small, structure is stable, better than SchwedLer and lianfang.

scholarly journals Analisis Dinamik Model Transmisi COVID-19 dengan Melibatkan Intervensi Karantina

2021 ◽  
Author(s):  
Resmawan Resmawan ◽  
Agusyarif Rezka Nuha ◽  
Lailany Yahya
Keyword(s):  
Population Dynamics ◽  
Stability Analysis ◽  
Numerical Simulations ◽  
Equilibrium Point ◽  
Equilibrium Points ◽  
Asymptotically Stable ◽  
Human Class ◽  
Existence Of Equilibrium ◽  
The Stability ◽  
Disease Free

This paper discusses the dynamics of COVID-19 transmission by involving quarantine interventions. The model was constructed by involving three classes of infectious causes, namely the exposed human class, asymptotically infected human class, and symptomatic infected human class. Variables were representing quarantine interventions to suppress infection growth were also considered in the model. Furthermore, model analysis is focused on the existence of equilibrium points and numerical simulations to visually showed population dynamics. The constructed model forms the SEAQIR model which has two equilibrium points, namely a disease-free equilibrium point and an endemic equilibrium point. The stability analysis showed that the disease-free equilibrium point was locally asymptotically stable at R0&lt;1 and unstable at R0&gt;1. Numerical simulations showed that increasing interventions in the form of quarantine could contribute to slowing the transmission of COVID-19 so that it is hoped that it can prevent outbreaks in the population.

scholarly journals TRANSMISSION DYNAMICS OF EBOLA VIRUS DISEASE WITH VACCINE, CONDOM USE, QUARANTINE, ISOLATION AND TREATMENT DRUG

2020 ◽  
Vol 15 (1) ◽  
pp. 10-23
Author(s):  
Queeneth Ojoma Ahman ◽  
Omale David ◽  
Asogwa Christopher Chukwuma ◽  
Nnaji Daniel Ugochukwu ◽  
Mbah Godwin Christopher Ezike
Keyword(s):  
Stability Analysis ◽  
Condom Use ◽  
Ebola Virus ◽  
Virus Disease ◽  
Human Life ◽  
Control Measures ◽  
Ebola Virus Disease ◽  
Asymptotically Stable ◽  
Short Period ◽  
The Stability

Background: Ebola Virus Disease (EVD) has brought the human population, especially the West African race, great losses in so many areas such as economic productivity and human life. During the 2014 Ebola Virus outbreak, the disease devastated and threatened the whole world. EVD symptoms (fever, diarrhea, vomiting, etc) may appear anywhere between two to twenty-one days after infection. Those that recovered from the disease return to being susceptible again and can transmit the virus through semen as research has shown the virus presence in semen even after recovery. Material and Methods: Mathematical modeling method with the combination of vaccine, condom use, quarantine, isolation and treatment drug together as control measures in a population consisting of human and animals. A model system of non-linear differential equations for the control of EVD was formulated and the model effective reproduction number ( ) was obtained using the next generation matrix method and used in the stability analysis of the model. Center manifold theorem was used in the bifurcation analysis of the model. Results: The result shows that the stability analysis of the model shows that the EVD – Free Equilibrium is locally asymptotically stable when and EVD - Endemic Equilibrium is locally asymptotically stable when . The model was shown to exhibit a forward bifurcation. Conclusions: Numerical simulations and analysis of the model show that EVD could be effectively controlled and eradicated within a short period of time when vaccine, condom use, quarantine, isolation and treatment drug control measures are implemented together.

scholarly journals The Interaction Stability Analysis of a Multi-Inverter System Containing Different Types of Inverters

Energies ◽  
2018 ◽  
Vol 11 (9) ◽  
pp. 2244 ◽  
Author(s):  
Chen Zheng ◽  
Qionglin Li ◽  
Lin Zhou ◽  
Bin Li ◽  
Mingxuan Mao
Keyword(s):  
Stability Analysis ◽  
Power Grid ◽  
Root Locus ◽  
Criterion A ◽  
Locus Method ◽  
Different Types ◽  
Simulation And Experiment ◽  
The Stability ◽  
Harmonic Resonance ◽  
Universal Interaction

The existing stability investigations of the system containing different types of inverters are insufficient. The paper aims to reveal the more universal interaction stability mechanism of the system containing different types of inverters. Firstly, the multi-inverter system is decomposed into an admittance network (AN) and excitation sources. Then, the interaction between two different inverters, as well as the interaction between the inverter and the power grid, are analyzed by the root locus method. This reveals that the stability of the interaction between the inverter and the power grid is exclusively determined by AN. However, the stability of the interaction between different inverters not only depends on AN but also relies on whether the two inverters have common right-half plane (RHP) poles. To make the multi-inverter system stable, the following two criteria must be satisfied: (a) AN is stable and (b) any two different inverters do not have the same RHP poles. If criterion (a) is not satisfied, the harmonic resonance will arise in all currents. Resonant harmonics will only circulate among partial inverters and will not inject into the power grid if criterion (a) is satisfied but criterion (b) is not satisfied. Theoretical analysis is validated by simulation and experiment results.

Sign in / Sign up

Export Citation Format

Share Document