• Journal of Industrial Technology
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• v.11
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• pp.107-114
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• 1991

This paper deals with the robustness of closed-loop poles of a linear time-invariant system with uncertain parameters. A new method is presented to calculate the perturbation of a pole-located region due to parameter uncertainties. A method to calculate allowable bounds on parameter uncertainties is also presented to retain closed-loop poles in a specified region. Based on Lyapunov equations and norm operations, they provide useful measures on the robustness of closed-loop poles. An example is given to illustrate proposed methods.

• East Asian mathematical journal
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• v.30 no.3
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• pp.249-258
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• 2014

In this paper, we study uniform exponential stabilization of the vibrations of the Kirchhoff type wave equation with Balakrishnan-Taylor damping and acoustic boundary in a bounded domain in $R^n$. To stabilize the systems, we incorporate separately, the passive viscous damping in the model as like Kang[14]. Energy decay rates are obtained by the uniform exponential stability of solutions by using multiplier technique.

• The Pure and Applied Mathematics
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• v.4 no.2
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• pp.161-166
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• 1997

We obtained sufficient conditions for $\phi$(t)-stability and uniform $\phi$(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.4
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• pp.294-300
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• 2009

The neural network with radial basis function is introduced for position tracking control of AC servo drive with the existence of system uncertainties. An adaptive robust term is applied to overcome the external disturbances. The proposed controller is implemented on a high performance digital signal processing DSP TMS320C6713-300. The stability and the convergence of the system are proved by Lyapunov theory. The validity and robustness of the controller are verified through simulation and experimental results

• Journal of KIEE
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• v.11 no.1
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• pp.8-13
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• 2001

In this brief, the design method of robust non-fragile decentralized controllers for uncertain large-scale interconnected systems is proposed. Based on Lyapunov second method, a sufficient condition for asymtotic stability is derived in terms of a linear matrix inequality (LMI), and the measure of non-fragility in controller is presented. The solutions of the LMI can be easily obtained using efficient convex optimization techniques. A numerical example is given to illustrate the proposed method.

• The Transactions of the Korean Institute of Electrical Engineers
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• v.31 no.7
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• pp.18-24
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• 1982

We derived an optimal control of the Stochastic Bilinear Systems. For that we, firstly, formulated stochastic bilinear system and estimated its state when the system state is not directly observable. Optimal control problem of this system is reviewed on the line of three optimization techniques. An optimal control is derived using Hamilton-Jacobi-Bellman equation via dynamic programming method. It consists of combination of linear and quadratic form in the state. This negative feedback control, also, makes the system stable as far as value function is chosen to be a Lyapunov function. Several other properties of this control are discussed.

• Proceedings of the KIEE Conference
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• 2003.07d
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• pp.2441-2443
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• 2003

This paper proposes an indirect adaptive fuzzy controller for general SISO nonlinear systems. No a priori information on bounding constants of uncertainties including reconstruction errors and optimal fuzzy parameters is needed. The control law and the update laws for fuzzy rule structure and estimates of fuzzy parameters and bounding constants are determined so that the Lyapunov stability of the whole closed loop system is guaranteed. The computer simulation results for an inverted pendulum system show the performance of the proposed robust adaptive fuzzy controller.

• Proceedings of the KIEE Conference
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• 2007.07a
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• pp.1674-1675
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• 2007

This paper presents a stability analysis of network systems with time delay. Time delay problem frequently occurs in network systems. Since it makes network systems unstable and unpredictable, an optimal controller is necessary to network systems. We prove the asymptotical stability of time delayed network systems using LMI optimization method and appropriate Lyapunov-Krasovskii functionals. Simulations show the effectiveness of the method.

• Kyungpook Mathematical Journal
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• v.49 no.2
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• pp.299-312
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• 2009

In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with nonautonomous N-dimensional impulsive Lotka Volterra competitive systems with dispersions and fixed moments of impulsive perturbations. By using the techniques of piecewise continuous Lyapunov's functions new sufficient conditions for the global exponential stability of the unique almost periodic solutions of these systems are given.

• Journal of the KSME
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• v.29 no.5
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• pp.520-524
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• 1989

chaos란 "질서 있는 무질서"를 의미한다. chaos의 큰 특징은 초기조건에의 민감성이다. 역으로 말 하면, 주어진 운동은 초기조건에 민감하므로 chaotic한 운동을 한다고 말할 수 있겠다. 제2장에서 는 유동문제의 대표격인 Lorenz chaos를 살펴보고, 3장에서는 동역학 문제인 Duffing-Holmes방 정식, 4장에서는 map의 대명사인 logistic map을, 5장에서는 기타 무수히 많은 분야 중 기계공 학에 가장 가까운 것들을 골라 연구된 내용을 소개하고 그 특징들을 살펴본다. 6장과 7장에서는 chaos의 정량화를 위한 Lyapunov지수와 fractal dimension의 개념과 그 계산 방법을 다룬다. 8 장에서는 현재까지도 그 의문이 풀리지 않은, chaos학문의 큰 관심사인, 난류의 시작문제를 취 급하고, 마지막으로 9장에서는 문제점, 과제 및 앞으로의 전망을 살펴보기로 한다. 살펴보기로 한다.