• Communications of the Korean Mathematical Society
• /
• v.26 no.1
• /
• pp.79-88
• /
• 2011

In this paper we study some properties of rank one perturbations of the unilateral shift operators $T=S+u{\otimes}{\upsilon}$. In particular, we give some criteria for eigenvalues of T. Also we characterize some conditions for T to be hyponormal.

• Bulletin of the Korean Mathematical Society
• /
• v.49 no.6
• /
• pp.1223-1240
• /
• 2012

The system $$\dot{x}=(A+{\varepsilon}Q(t,{\varepsilon}))x+{\varepsilon}g(t,{\varepsilon})+h(x,t,{\varepsilon}),$$ where A is elliptic whose eigenvalues are not necessarily simple and $h$ is $\mathcal{O}(x^2)$. It is proved that, under suitable hypothesis of analyticity, for most values of the frequencies, the system is reducible.

• 제어로봇시스템학회:학술대회논문집
• /
• 1996.10b
• /
• pp.972-975
• /
• 1996

This paper presents a sufficient condition for robust stability of discrete-time systems with delayed nonlinear perturbations. Using state evolution method, the bound on the norms of nonlinear perturbation which guarantees the exponential stability of the systems, is found. The numerical example is given to illustrate the results.

• Publications of The Korean Astronomical Society
• /
• v.7 no.1
• /
• pp.107-148
• /
• 1992

This paper presents a cosmological perturbation analysis in a Newtonian framework, using the Newtonian multi component version of the relativistic covariant equations. This work considers the fully nonlinear evolution of the perturbations, and is generalized to multicomponent systems and imperfect fluids. Known nonlinear solutions are presented in a general framework. Quasi-nonlinear analysis, considering both the compressible and rotational modes, is presented, including cases already known in the literature. The Fourier space representation of the conservation equations is also derived in a general context, with various decompositions of the velocity field. Commonly accepted cosmogonical frameworks are critically examined in the context of nonlinear evolution. This work may be regarded as the Newtonian counterpart of a recently presented general relativistic covariant formulation.

• 제어로봇시스템학회:학술대회논문집
• /
• 1995.10a
• /
• pp.420-423
• /
• 1995

The stability of system is one of the important aspects and to judge system's stability is another complicated problem. Previously, new technique derived from relaxing Lyapunov conditions has been already introduced and in this paper, this proposed technique applies to the practical dynamic systems. This utility of numerical procedures prove the comparable improvements of the estimation of robustness for dynamic systems having structured (bounded) perturbations.

• The Bulletin of The Korean Astronomical Society
• /
• v.35 no.2
• /
• pp.42.2-42.2
• /
• 2010

The possibility of detection of deviation from Gaussian distribution of primordial perturbations in the Cosmic Microwave Background (CMB) Radiation is very important because it can shed light on how the perturbations were created in the very early universe. We study the effect of the primordal non-Gaussianity on topological observables called Minkowski Functionals, which are functions of the temperature fluctuation field, and show that they carry distinct signatures of different types of non-Gaussianities. Then, we constrain the non-Gaussianity parameters by comparing the theoretical predictions of the Minkowski Functionals with measurements from observational data from WMAP.

• Journal of applied mathematics & informatics
• /
• v.27 no.5_6
• /
• pp.1097-1107
• /
• 2009

In this paper, three species stage-structured predator-prey model with time delayed and periodic constant impulsive perturbations of predator at fixed times is proposed and investigated. We show that the conditions for the global attractivity of prey(pest)-extinction periodic solution and permanence of the system. Our model exhibits a new modelling method which is applied to investigate impulsive delay differential equations. Our results give some reasonable suggestions for pest management.

• The Pure and Applied Mathematics
• /
• v.10 no.1
• /
• pp.37-47
• /
• 2003

We will show that any linear perturbation of polynomials that introduces bounded perturbations into the roots of polynomial is some linear combination of the derivatives of a polynomial. And we will derive an absolute root bound functional which is in some sense better than the other known absolute root bound functionals.

• The Transactions of the Korean Institute of Electrical Engineers
• /
• v.38 no.4
• /
• pp.316-325
• /
• 1989

This paper is concerned with robust stabilization of single input or single output systems. Based on the region of non-destabilizing perturbations some approaches to design which allow the given of structured perturbation of plant parameters and their gradient optimization are given. These algorithms iteratively enlarge the stability hypershere in plant parameter space and can be used to design a controller to stabilize a plant subject to given ranges of parameter excursions.

• Journal of Astronomy and Space Sciences
• /
• v.8 no.2
• /
• pp.141-148
• /
• 1991

In order to obtain a complete picture of the time dependent dynamic of 360 fragments in space, the program IODS (ISSA Orbit Determination System) has been set up. Using The program IODS, all fragments orbits of one break-up event can be generated. Perturbations due to the Earth's asymmetrical potential, the Sun, moon, air drag and solar radiation force are considered. We summarize our results as follows : I) Due to J2 term, precessional motion of all fragment orbits are (수식생략) ii) The other perturbations have very small effects.