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DESCRIPTION OF FLOWS NEAR CLOSED SETS WITH COMPACT BOUNDARY
Koo, Ki-Shik Chungcheong Mathematical Society 2019 충청수학회지 Vol.32 No.4
In this paper, we analyze the behaviour of flows near closed sets with compact boundary which contains no semi-orbits. Also, we give a condition that a closed invariant set is to be asymptotically stable.
Description of flows near closed sets with compact boundary
구기식 충청수학회 2019 충청수학회지 Vol.32 No.4
In this paper, we analyze the behaviour of flows near closed sets with compact boundary which contains no semi-orbits. Also, we give a condition that a closed invariant set is to be asymptotically stable.
An early warning system for financial crisis using a stock market instability index
Kim, Dong Ha,Lee, Suk Jun,Oh, Kyong Joo,Kim, Tae Yoon Blackwell Publishing Ltd 2009 Expert systems Vol.26 No.3
<P>Abstract</P><P>This paper proposes to utilize a stock market instability index (SMII) to develop an early warning system for financial crisis. The system focuses on measuring the differences between the current market conditions and the conditions of the past when the market was stable. Technically the system evaluates the current time series against the past stable time series modelled by an asymptotic stationary autoregressive model via artificial neural networks. Advantageously accessible to extensive resources, the system turns out better results than the conventional system which detects similarities between the conditions of the current market and the conditions of previous markets that were in crisis. Therefore, it should be considered as a more advanced tool to prevent financial crises than the conventional one. As an empirical example, an SMII for the Korean stock market is developed in order to demonstrate its potential usefulness as an early warning system.</P>
Asymptotic property for perturbed nonlinear functional differential systems
임동만,Yoon Hoe Goo 한국전산응용수학회 2015 Journal of applied mathematics & informatics Vol.33 No.5
This paper shows that the solutions to the perturbed nonlinear functional differential system\\ \begin{eqnarray*} y'=f(t,y)+\int_{t_0}^tg(s,y(s),Ty(s))ds, f(t,0)=0, g(t,0,0)=0 \end{eqnarray*} go to zero as $t$ goes to infinity. To show asymptotic property, we impose conditions on the perturbed part $\int_{t_0}^tg(s,y(s),Ty(s))ds$ and the fundamental matrix of the unperturbed system $y'=f(t,y)$.
ASYMPTOTIC PROPERTY FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS
Im, Dong Man,Goo, Yoon Hoe Chungcheong Mathematical Society 2016 충청수학회지 Vol.29 No.1
This paper shows that the solutions to nonlinear perturbed functional differential system $$y^{\prime}=f(t,y)+{\int}^t_{t_0}g(s,y(s),Ty(s))ds+h(t,y(t))$$ have the asymptotic property by imposing conditions on the perturbed part ${\int}^t_{t_0}g(s,y(s),Ty(s))ds,h(t,y(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).
Dianfeng Zhang,Yong-Feng Gao,Sheng-Li Du 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.9
In this paper, we intend to investigate uniform global asymptotic stability in probability (UGAS-P) for a class of time-varying switched stochastic nonlinear systems. Conventional criteria on stability for switched stochastic systems are based on the negativity of the infinitesimal generator of Lyapunov functions, it is demonstrated that these criteria are conservative. Taking this fact into account, the infinitesimal generator for each active subsystem acting on Lyapunov functions is relaxed to be indefinite with the help of uniformly stable function (USF). Subsequently, improved criteria on asymptotic stability are proposed by applying the weakened condition and modedependent average dwell time (MDADT) technique. In addition, numerical examples are presented to verify the effectiveness of the obtained results.
ASYMPTOTIC PROPERTY FOR PERTURBED NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS
IM, DONG MAN,GOO, YOON HOE The Korean Society for Computational and Applied M 2015 Journal of applied mathematics & informatics Vol.33 No.5
This paper shows that the solutions to the perturbed nonlinear functional differential system
ASYMPTOTIC PROPERTY FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS
임동만,구윤회 충청수학회 2016 충청수학회지 Vol.29 No.1
This paper shows that the solutions to nonlinear perturbed functional differential system \begin{eqnarray*} y'=f(t,y)+\int_{t_0}^tg(s,y(s),Ty(s))ds+h(t,y(t)) \end{eqnarray*} have the asymptotic property by imposing conditions on the perturbed part $\int_{t_0}^tg(s,y(s),Ty(s))ds, h(t,y(t))$, and on the fundamental matrix of the unperturbed system $y'=f(t,y)$.
ASYMPTOTIC PROPERTY OF PERTURBED NONLINEAR SYSTEMS
Dong Man Im,Sang Il Choi,Yoon Hoe Goo 충청수학회 2017 충청수학회지 Vol.30 No.1
In this paper, we show that the solutions to perturbed differential system y ′ = f (t, y) + ∫ t t0 g(s, y(s), T 1 y(s))ds + h(t, y(t), T 2 y(t)) have asymptotic property by imposing conditions on the perturbed part ∫ t t 0 g(s, y(s), T 1 y(s))ds, h(t, y(t), T 2 y(t)), and on the fundamental matrix of the unperturbed system y ′ = f (t, y).
ASYMPTOTIC PROPERTY OF PERTURBED NONLINEAR SYSTEMS
Im, Dong Man,Choi, Sang Il,Goo, Yoon Hoe Chungcheong Mathematical Society 2017 충청수학회지 Vol.30 No.1
In this paper, we show that the solutions to perturbed differential system $$y^{\prime}=f(t,y)+{{\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^{t}}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$$ have asymptotic property by imposing conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y).