• Title/Summary/Keyword: periodic linear continuous system

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REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM

  • Kim, Dohan;Shin, Jong Son
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.4
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    • pp.933-942
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    • 2014
  • We give a representation of the component of solutions with characteristic multiplier 1 in a periodic linear inhomogeneous continuous system. It follows from this representation that asymptotic behaviors of the component of solutions to the system and to its associated homogeneous system are quite different, though they are similar in the case where the characteristic multiplier is not 1. Moreover, the representation is applicable to linear discrete systems with constant coefficients.

ON THE DOMAIN OF NULL-CONTROLLABILITY OF A LINEAR PERIODIC SYSTEM

  • Yoon, Byung-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.22 no.2
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    • pp.95-98
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    • 1985
  • In [1], E.B. Lee and L. Markus described a sufficient condition for which the domain of null-controllability of a linear autonomous system is all of R$^{n}$ . The purpose of this note is to extend the result to a certain linear nonautonomous system. Thus we consider a linear control system dx/dt = A(t)x+B(t)u in the Eculidean n-space R$^{n}$ where A(t) and B(t) are n*n and n*m matrices, respectively, which are continuous on 0.leq.t<.inf. and A(t) is a periodic matrix of period .omega.. Admissible controls are bounded measurable functions defined on some finite subintervals of [0, .inf.) having values in a certain convex set .ohm. in R$^{m}$ with the origin in its interior. And we present a sufficient condition for which the domain of null-controllability is all of R$^{n}$ .

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A study on the parameter identification of conitnuous linear systems via sal-cal functions (SAL-CAL에 의한 연속 선형계에서의 파라메타 추정에 관한 연구)

  • 안두수;이해기;유상진;김민형
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10a
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    • pp.821-824
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    • 1990
  • This paper presents a method for Identification of a continuous time linear system parameters. We take the plant driven by percitently exciting input. To express the integral functions in terms of measured periodic output data. We use the Walsh function based on cal-sal functions. The linear algebraic equations for parameter identification is obtained. The present method Is simple and computationally advantageous.

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Intervalwise Receding Horizon $H_{\infty}$ Tracking Control for Continuous Linear Periodic Systems (연속 시간 선형 주기 시스템에 대한 주기 예측 구간 $H_{\infty}$ 추적 제어)

  • Kim, Ki-Back;Kwon, Wook-Hyun
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1140-1142
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    • 1996
  • In this paper, a fixed-horizon $H_{\infty}$ tracking control (HTC) for continuous time-varying systems is proposed in state-feedback case. The solution is obtained via the dynamic game theory. From HTC, an intervalwise receding horizon $H_{\infty}$ tracking control (IHTC) for continuous periodic systems is obtained using the intervalwise strategy. The conditions under which IHTC stabilizes the closed-loop system are proposed. Under proposed stability conditions, it is shown that IHTC guarantees the $H_{\infty}$-norm bound.

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Design of an Iterative Learning Robot Controller Using Parameter Estimation (파라미터 추정방법을 이용한 로보트 반복학습제어기의 설계)

  • ;;Zeungnam Bien
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.4
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    • pp.393-402
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    • 1990
  • An iterative learning contol method is presented for a class of linear periodic systems, in which a parameter estimator of the system together with an inverse system model is utilized to generate the control signal at each iteration. A convergence proof is given and two numerical examples are illustrated to show the validities of the algorithm. In particular, it is shown that the method is useful for the continuous path control of robot manipulators.

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Molecular Dynamics Simulations for Transport Coefficients of Liquid Argon : New Approaches

  • Lee, Song-Hi;Park, Dong-Kue;Kang, Dae-Bok
    • Bulletin of the Korean Chemical Society
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    • v.24 no.2
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    • pp.178-182
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    • 2003
  • The stress and the heat-flux auto-correlation functions in the Green-Kubo formulas for shear viscosity and thermal conductivity have non-decaying long-time tails. This problem can be overcome by improving the statistical accuracy by N (number of particles) times, considering the stress and the heat-flux of the system as properties of each particle. The mean square stress and the heat-flux displacements in the Einstein formulas for shear viscosity and thermal conductivity are non linear functions of time since the quantities in the mean square stress and the heat-flux displacements are not continuous under periodic boundary conditions. An alternative to these quantities is to integrate the stress and the heat-flux with respect to time, but the resulting mean square stress and heat-flux displacements are still not linear versus time. This problem can be also overcome by improving the statistical accuracy. The results for transport coefficients of liquid argon obtained are discussed.

Harmonic Motion-based Simulator Design for Multipurpose Sports Simulation

  • Yang, Jeong-Yean
    • International journal of advanced smart convergence
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    • v.4 no.2
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    • pp.163-169
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    • 2015
  • This study proposes a sports simulation device with various harmonics generation. The proposed system is composed of 6 degrees of freedom simulator devices and three types of sports simulation such as walking, snowboard, and jet-ski. In this research, every joint movement is designed with a crank-and-slider mechanism, which is efficient for generating continuous curvature smoothly. Contrary to the conventional spatial simulator with linear actuators, harmonics generation and its spatial combinations become the crucial issue in this research. The harmonic pattern in each joint is modelled for generating smooth curvatures that are also superposed for achieving overall motions. In addition, the targeted motions of sports simulations have different physical factors of periodic gait motion, frictionless surface, and buoyant effects, which are respectively designed by integrating three dimensional graphics information.

Poloxamer 407 Hydrogels for Intravesical Instillation to Mouse Bladder: Gel-Forming Capacity and Retention Performance

  • Kim, Sang Hyun;Kim, Sung Rae;Yoon, Ho Yub;Chang, In Ho;Whang, Young Mi;Cho, Min Ji;Kim, Myeong Joo;Kim, Soo Yeon;Lee, Sang Jin;Choi, Young Wook
    • The Korean Journal of Urological Oncology
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    • 제15권3호
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    • pp.178-186
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    • 2017
  • Purpose: Poloxamer 407 (P407) thermo-sensitive hydrogel formulations were developed to enhance the retention time in the urinary bladder after intravesical instillation. Materials and Methods: P407 hydrogels (P407Gels) containing 0.2 w/w% fluorescein isothiocyanate dextran (FD, MW 4 kDa) as a fluorescent probe were prepared by the cold method with different concentrations of the polymer (20, 25, and 30 w/w%). The gel-forming capacities were characterized in terms of gelation temperature (G-Temp), gelation time (G-Time), and gel duration (G-Dur). Homogenous dispersion of the probe throughout the hydrogel was observed by using fluorescence microscopy. The in vitro bladder simulation model was established to evaluate the retention and drug release properties. P407Gels in the solution state were administered to nude mice via urinary instillation, and the in vivo retention behavior of P407Gels was visualized by using an in vivo imaging system (IVIS). Results: P407Gels showed a thermo-reversible phase transition at $4^{\circ}C$ (refrigerated; sol) and $37^{\circ}C$ (body temperature; gel). The G-Temp, G-Time, and G-Dur of FD-free P407Gels were approximately $10^{\circ}C-20^{\circ}C$, 12-30 seconds, and 12-35 hours, respectively, and were not altered by the addition of FD. Fluorescence imaging showed that FD was spread homogenously in the gelled P407 solution. In a bladder simulation model, even after repeated periodic filling-emptying cycles, the hydrogel formulation displayed excellent retention with continuous release of the probe over 8 hours. The FD release from P407Gels and the erosion of the gel, both of which followed zero-order kinetics, had a linear relationship ($r^2=0.988$). IVIS demonstrated that the intravesical retention time of P407Gels was over 4 hours, which was longer than that of the FD solution (<1 hour), even though periodic urination occurred in the mice. Conclusions: FD release from P407Gels was erosion-controlled. P407Gels represent a promising system to enhance intravesical retention with extended drug delivery.

Automatic Extraction of River Levee Slope Using MMS Point Cloud Data (MMS 포인트 클라우드를 활용한 하천제방 경사도 자동 추출에 관한 연구)

  • Kim, Cheolhwan;Lee, Jisang;Choi, Wonjun;Kim, Wondae;Sohn, Hong-Gyoo
    • Korean Journal of Remote Sensing
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    • v.37 no.5_3
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    • pp.1425-1434
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    • 2021
  • Continuous and periodic data acquisition must be preceded to maintain and manage the river facilities effectively. Adapting the existing general facilities methods, which include river surveying methods such as terrestrial laser scanners, total stations, and Global Navigation Satellite System (GNSS), has limitation in terms of its costs, manpower, and times to acquire spatial information since the river facilities are distributed across the wide and long area. On the other hand, the Mobile Mapping System (MMS) has comparative advantage in acquiring the data of river facilities since it constructs three-dimensional spatial information while moving. By using the MMS, 184,646,009 points could be attained for Anyang stream with a length of 4 kilometers only in 20 minutes. Levee points were divided at intervals of 10 meters so that about 378 levee cross sections were generated. In addition, the waterside maximum and average slope could be automatically calculated by separating slope plane form levee point cloud, and the accuracy of RMSE was confirmed by comparing with manually calculated slope. The reference slope was calculated manually by plotting point cloud of levee slope plane and selecting two points that use location information when calculating the slope. Also, as a result of comparing the water side slope with slope standard in basic river plan for Anyang stream, it is confirmed that inspecting the river facilities with the MMS point cloud is highly recommended than the existing river survey.