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1

Li, YingChun, and ZhiHong Liu. "Convolutions of harmonic right half-plane mappings." Open Mathematics 14, no. 1 (2016): 789–800. http://dx.doi.org/10.1515/math-2016-0069.

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AbstractWe first prove that the convolution of a normalized right half-plane mapping with another subclass of normalized right half-plane mappings with the dilatation $ - z(a + z)/(1 + az)$ is CHD (convex in the horizontal direction) provided $a = 1$ or $ - 1 \le a \le 0$. Secondly, we give a simply method to prove the convolution of two special subclasses of harmonic univalent mappings in the right half-plane is CHD which was proved by Kumar et al. [1, Theorem 2.2]. In addition, we derive the convolution of harmonic univalent mappings involving the generalized harmonic right half-plane mappin
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2

Elin, Mark, and Fiana Jacobzon. "Analyticity of semigroups on the right half-plane." Journal of Mathematical Analysis and Applications 448, no. 2 (2017): 750–66. http://dx.doi.org/10.1016/j.jmaa.2016.11.017.

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3

Örnek, Bülent Nafi. "A sharp Carathéodory's inequality on the right half plane." Journal of Classical Analysis, no. 1 (2019): 39–48. http://dx.doi.org/10.7153/jca-2019-14-04.

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4

Rodríguez, C., J. L. Guzmán, M. Berenguel, and T. Hägglund. "Optimal feedforward compensators for systems with right-half plane zeros." Journal of Process Control 24, no. 4 (2014): 368–74. http://dx.doi.org/10.1016/j.jprocont.2014.02.014.

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5

Wu, Dongdong, and Xingdi Chen. "Convolution of two harmonic mappings in the right-half plane." Filomat 34, no. 4 (2020): 1315–27. http://dx.doi.org/10.2298/fil2004315w.

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This paper is to give a univalent criterion and a geometric property of the convolution of two right half-plane harmonic mappings f0(z) and f (z), where f0(z) is canonical and the second complex dilatation w(z) of f (z) is of the form w(z) = - z-a/1-az z-b/1-bz.
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6

Ali, Md Firoz, Vasudevarao Allu, and Nirupam Ghosh. "A convolution property of univalent harmonic right half-plane mappings." Monatshefte für Mathematik 193, no. 4 (2020): 729–36. http://dx.doi.org/10.1007/s00605-020-01442-3.

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7

Liu, ZhiHong, and Saminathan Ponnusamy. "Univalency of Convolutions of Univalent Harmonic Right Half-Plane Mappings." Computational Methods and Function Theory 17, no. 2 (2016): 289–302. http://dx.doi.org/10.1007/s40315-016-0180-0.

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8

Wu, Dongdong, and Xingdi Chen. "Convolution of two harmonic mappings in the right-half plane." Filomat 34, no. 4 (2020): 1315–27. http://dx.doi.org/10.2298/fil2004315w.

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This paper is to give a univalent criterion and a geometric property of the convolution of two right half-plane harmonic mappings f0(z) and f (z), where f0(z) is canonical and the second complex dilatation w(z) of f (z) is of the form w(z) = - z-a/1-az z-b/1-bz.
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9

Fletcher, Alastair N., and J. K. Langley. "Integer points of analytic functions in a half-plane." Proceedings of the Edinburgh Mathematical Society 52, no. 3 (2009): 619–30. http://dx.doi.org/10.1017/s0013091507001265.

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AbstractIt is shown that if f is an analytic function of sufficiently small exponential type in the right half-plane, which takes integer values on a subset of the positive integers having positive lower density, then f is a polynomial.
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10

Shen, Shih-Haur, Hong-Den Yu, and Cheng-Ching Yu. "Autotune identification for systems with right-half-plane poles and zeros." Journal of Process Control 9, no. 2 (1999): 161–69. http://dx.doi.org/10.1016/s0959-1524(98)00035-3.

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11

Kumar, Raj, Michael Dorff, Sushma Gupta, and Sukhjit Singh. "Convolution Properties of Some Harmonic Mappings in the Right Half-Plane." Bulletin of the Malaysian Mathematical Sciences Society 39, no. 1 (2015): 439–55. http://dx.doi.org/10.1007/s40840-015-0184-3.

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12

Liu, Zhi-Hong, Zhi-Gang Wang, Antti Rasila, and Yue-Ping Jiang. "Convolutions of Harmonic Right Half-Plane Mappings with Harmonic Strip Mappings." Bulletin of the Malaysian Mathematical Sciences Society 42, no. 3 (2019): 1199–212. http://dx.doi.org/10.1007/s40840-019-00720-0.

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13

FLETCHER, ALASTAIR. "Gaussian integer points of analytic functions in a half-plane." Mathematical Proceedings of the Cambridge Philosophical Society 145, no. 2 (2008): 257–72. http://dx.doi.org/10.1017/s0305004108001643.

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AbstractA classical result of Pólya states that 2z is the slowest growing transcendental entire function taking integer values on the non-negative integers. Langley generalised this result to show that 2z is the slowest growing transcendental function in the closed right half-plane Ω = {z ∈ : Re(z) ≥ 0} taking integer values on the non-negative integers. Let E be a subset of the Gaussian integers in the open right half-plane with positive lower density and let f be an analytic function in Ω taking values in the Gaussian integers on E. Then in this paper we prove that if f does not grow too rap
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14

Jacobsen, Elling W. "Input Multiplicity and Right Half Plane Zeros in Ideal Two-Product Distillation." IFAC Proceedings Volumes 28, no. 9 (1995): 75–80. http://dx.doi.org/10.1016/s1474-6670(17)47019-4.

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15

Calvente, J., L. Martinez-Salamero, H. Valderrama, and E. Vidal-Idiarte. "Using Magnetic Coupling to Eliminate Right Half-Plane Zeros in Boost Converters." IEEE Power Electronics Letters 2, no. 2 (2004): 58–62. http://dx.doi.org/10.1109/lpel.2004.834615.

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16

Freudenberg, J., and D. Looze. "Right half plane poles and zeros and design tradeoffs in feedback systems." IEEE Transactions on Automatic Control 30, no. 6 (1985): 555–65. http://dx.doi.org/10.1109/tac.1985.1104004.

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17

Looze, D. P., and J. S. Freudenberg. "Limitations of feedback properties imposed by open-loop right half plane poles." IEEE Transactions on Automatic Control 36, no. 6 (1991): 736–39. http://dx.doi.org/10.1109/9.86946.

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18

Xu, Yi-Hui, and Jin-Lin Liu. "On Subordinations for Certain Multivalent Analytic Functions in the Right-Half Plane." Journal of Function Spaces 2016 (2016): 1–4. http://dx.doi.org/10.1155/2016/1782916.

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19

Liu, He, and Donglai Zhang. "Two-Phase Interleaved Inverse-Coupled Inductor Boost Without Right Half-Plane Zeros." IEEE Transactions on Power Electronics 32, no. 3 (2017): 1844–59. http://dx.doi.org/10.1109/tpel.2016.2565723.

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20

Zikkos, Elias. "Interpolation in $$H^{p}$$ H p spaces over the right half-plane." Periodica Mathematica Hungarica 75, no. 2 (2017): 368–75. http://dx.doi.org/10.1007/s10998-017-0206-z.

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21

Gimbutas, Zydrunas, Shidong Jiang, and Li-Shi Luo. "Evaluation of Abramowitz functions in the right half of the complex plane." Journal of Computational Physics 405 (March 2020): 109169. http://dx.doi.org/10.1016/j.jcp.2019.109169.

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22

Gil’, Michael. "On location of spectra of unbounded operators in the right half-plane." Afrika Matematika 31, no. 7-8 (2020): 1121–27. http://dx.doi.org/10.1007/s13370-020-00784-3.

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23

CARMICHAEL, RICHARD D. "Final Value Abelian Theorems for the Stieltjes Transform of Generalized Functions." Journal of North Carolina Academy of Science 127, no. 2 (2011): 179–83. http://dx.doi.org/10.7572/2167-5880-127.2.179.

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Abstract Limit results are obtained for the Stieltjes transform of generalized functions as the domain complex variable s approaches ∞ (final value results) in the right half plane. These results are of equivalent form as results for the transform as s approaches 0 (initial value results) in the right half plane.
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24

Liu, Zhihong, Yueping Jiang, and Yong Sun. "Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings." Filomat 31, no. 7 (2017): 1843–56. http://dx.doi.org/10.2298/fil1707843l.

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In the present paper, we prove the convolutions of generalized harmonic right half-plane mappings with harmonic vertical strip mappings are univalent and convex in the horizontal direction. Moreover, some examples of harmonic univalent mappings convex in the horizontal direction are also constructed to illuminate the main results.
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25

Elliott, Sam J., and Andrew Wynn. "Composition operators on weighted Bergman spaces of a half-plane." Proceedings of the Edinburgh Mathematical Society 54, no. 2 (2011): 373–79. http://dx.doi.org/10.1017/s0013091509001412.

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AbstractWe use induction and interpolation techniques to prove that a composition operator induced by a map ϕ is bounded on the weighted Bergman space $\mathcal{A}^2_\alpha(\mathbb{H})$ of the right half-plane if and only if ϕ fixes the point at ∞ non-tangentially and if it has a finite angular derivative λ there. We further prove that in this case the norm, the essential norm and the spectral radius of the operator are all equal and are given by λ(2+α)/2.
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26

Kulyavetc', L. V., and O. M. Mulyava. "On the growth of a class of Dirichlet series absolutely convergent in half-plane." Carpathian Mathematical Publications 9, no. 1 (2017): 63–71. http://dx.doi.org/10.15330/cmp.9.1.63-71.

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In terms of generalized orders it is investigated a relation between the growth of a Dirichlet series $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with the abscissa of asolute convergence $A\in (-\infty,+\infty)$ and the growth of Dirichlet series $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\}$, $1\le j\le 2$, with the same abscissa of absolute convergence, if the coefficients $a_n$ are connected with the coefficients $a_{n,j}$ by correlation $$ \beta\left(\frac{\lambda_n}{\ln\,\left(|a_n|e^{A\lambda_n}\right)}\right)=(1+o(1)) \prod\limits_{j=1}^{m}\beta\left(\frac{\lamb
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27

Sepulchre, R., and M. Arcak. "Global Stabilization of Nonlinear Cascade Systems: Limitations Imposed by Right Half Plane Zeros." IFAC Proceedings Volumes 31, no. 17 (1998): 597–602. http://dx.doi.org/10.1016/s1474-6670(17)40402-2.

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28

Sobhani, Massoud, and Suhada Jayasuriya. "Incorporating Right Half-Plane Poles and Zeros in a Frequency Domain Design Technique." Journal of Dynamic Systems, Measurement, and Control 116, no. 4 (1994): 593–601. http://dx.doi.org/10.1115/1.2899257.

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The frequency domain design methodology developed in Jayasuriya and Franchek (1988) for the synthesis of controllers that maximize the allowable size of an unknown-but-bounded disturbance in the presence of several time domain constraints is revisited. It is shown that (i) the basic ingredients of the methodology stays essentially the same for systems with nonminimum phase zeros and/or unstable poles, and (ii) two modifications can facilitate the loop shaping step. In particular, a nonminimum phase problem may be converted to one of frequency shaping a minimum phase loop; and a prestabilizatio
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29

Tian, Fanji, and Yaofeng Ren. "THE VALUE DISTRIBUTION OF RANDOM DIRICHLET SERIES ON THE RIGHT HALF PLANE (II)." Acta Mathematica Scientia 23, no. 3 (2003): 426–32. http://dx.doi.org/10.1016/s0252-9602(17)30352-1.

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30

Morgans, A. S., and A. M. Annaswamy. "Adaptive Control of Combustion Instabilities for Combustion Systems with Right-Half Plane Zeros." Combustion Science and Technology 180, no. 9 (2008): 1549–71. http://dx.doi.org/10.1080/00102200802125719.

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31

Chaabi, Slah, and Stéphane Rigat. "Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane." European Journal of Mathematics 1, no. 3 (2015): 582–640. http://dx.doi.org/10.1007/s40879-015-0053-5.

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32

Zhao, Chun Xiang, and Hui Qi. "The Green’S Function Solution of Right-Angle Plane Including a Semi-Cylindrical Canyon." Applied Mechanics and Materials 275-277 (January 2013): 830–35. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.830.

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The Green’s function of a right-angle plane including semi-cylindrical canyon while bearing out-of-plane harmonic line source load on horizontal interface have been considered using the methods of complex function and image. Firstly, the wave field of right-angle plane was imaged half space, the scattering wave field, which satisfies the free stress boundary conditions of the right-angle plane on the vertical interface could be constructed. Secondly, a series of infinite algebraic equations be obtained to settle this problem by considering the stress free boundary condition of semi-cylindrical
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33

Xu, Hong-Yan, and Zu-Xing Xuan. "The Singular Points of Analytic Functions with FiniteX-Order Defined by Laplace-Stieltjes Transformations." Journal of Function Spaces 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/865069.

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We study the singular points of analytic functions defined by Laplace-Stieltjes transformations which converge on the right half plane, by introducing the concept ofX-order functions. We also confirm the existence of the finiteX-order Borel points of such functions and obtained the extension of the finiteX-order Borel point of two analytic functions defined by two Laplace-Stieltjes transformations convergent on the right half plane. The main results of this paper are improvement of some theorems given by Shang and Gao.
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34

Tan, Eng Leong, and Ding Yu Heh. "POLE-ZERO ANALYSIS OF MICROWAVE FILTERS USING CONTOUR INTEGRATION METHOD EXPLOITING RIGHT-HALF PLANE." Progress In Electromagnetics Research M 78 (2019): 59–68. http://dx.doi.org/10.2528/pierm18102301.

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35

Guo, Min, Juan chen, and Yawei Peng. "The Control Method of Multivariable Time-delay Square System Containing Right Half Plane Zeros." Procedia Engineering 15 (2011): 1004–9. http://dx.doi.org/10.1016/j.proeng.2011.08.186.

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36

HUO, Yingying, and Yinying KONG. "On Generalized Orders and Generalized Types of Dirichlet Series in the Right Half-Plane." Acta Mathematica Scientia 34, no. 1 (2014): 175–82. http://dx.doi.org/10.1016/s0252-9602(13)60134-4.

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37

Wang, Y. J., C. F. Gao, H. P. Song, and S. C. Xing. "The Generalized Two Dimensional Thermal-Electro-Elastic Solution for the Cracked-Half-Elliptical-Hole Problem in a Half Plane." Journal of Theoretical and Applied Mechanics 45, no. 2 (2015): 21–44. http://dx.doi.org/10.1515/jtam-2015-0009.

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AbstractThe half elliptical hole with an edge crack in a thermopiezoelectric material is studied by using the complex variable method. First, the mapping function which maps the outside of the elliptical hole and the crack in the right half plane into the outside of a circular hole in a full plane is given by the method of conformal mapping. Then, the complex potential functions and the field intensity factors (FIF) are presented according to the boundary conditions, respectively. Some useful results can be found by numerical analysis: 1) The influence of the heat flux on FIF depends on the mo
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38

Yinying, Kong, and Sun Daochun. "On the Growth of Zero Order Laplace-Stieltjes Transform Convergent in the Right Half-Plane." Acta Mathematica Scientia 28, no. 2 (2008): 431–40. http://dx.doi.org/10.1016/s0252-9602(08)60045-4.

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39

Poorali, Behzad, and Ehsan Adib. "Right-Half-Plane Zero Elimination of Boost Converter Using Magnetic Coupling With Forward Energy Transfer." IEEE Transactions on Industrial Electronics 66, no. 11 (2019): 8454–62. http://dx.doi.org/10.1109/tie.2019.2891408.

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40

Jerome, Norman F., and W. H. Ray. "Model-predictive control of linear multivariable systems having time delays and right-half-plane zeros." Chemical Engineering Science 47, no. 4 (1992): 763–85. http://dx.doi.org/10.1016/0009-2509(92)80267-g.

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41

Ball, Joseph A., Mikael Kurula, Olof J. Staffans, and Hans Zwart. "De Branges–Rovnyak Realizations of Operator-Valued Schur Functions on the Complex Right Half-Plane." Complex Analysis and Operator Theory 9, no. 4 (2014): 723–92. http://dx.doi.org/10.1007/s11785-014-0358-2.

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42

Kuraishi, Ritsu. "Adult rudiment formation in brachiolaria larvae after disturbances in their bilateral asymmetry during the earlier stages." Zygote 8, S1 (1999): S49—S51. http://dx.doi.org/10.1017/s0967199400130242.

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In echinoderm development, conversion of the oral-aboral axis takes place during metamorphosis, and the left and right sides of larvae become the oral and aboral sides of juveniles, respectively. Since the rudiments of the adult organs are formed before metamorphosis, late brachiolaria larvae of Asterina pectinifera show distinct bilateral asymmetry. On the other hand, early bipinnaria larvae look almost symmetric bilaterally, except for hydropore and posterior coelomic pouch formation which take place only on the left side. The relationship between the axis of the adult rudiment and the bilat
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43

Gandhi, Shweta, and V. Ravichandran. "Starlike functions associated with a lune." Asian-European Journal of Mathematics 10, no. 04 (2017): 1750064. http://dx.doi.org/10.1142/s1793557117500644.

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Several subclasses of starlike functions are associated with regions in the right half plane of the complex plane, like half-plane, disks, sectors, parabolas and lemniscate of Bernoulli. For a normalized analytic function [Formula: see text] defined on the open unit disk [Formula: see text] belonging to certain well-known classes of functions associated with the above regions, we investigate the radius [Formula: see text] such that, for the function [Formula: see text], [Formula: see text] lies in the lune defined by [Formula: see text] for all [Formula: see text].
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44

Weller, Steven R. "Sensitivity Limitations for Multivariable Linear Filtering." Journal of Control Science and Engineering 2007 (2007): 1–8. http://dx.doi.org/10.1155/2007/27190.

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This paper examines fundamental limitations in performance which apply to linear filtering problems associated with multivariable systems having as many inputs as outputs. The results of this paper quantify unavoidable limitations in the sensitivity of state estimates to process and measurement disturbances, as represented by the maximum singular values of the relevant transfer matrices. These limitations result from interpolation constraints imposed by open right half-plane poles and zeros in the transfer matrices linking process noise and output noise with state estimates. Using the Poisson
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45

Hoagg, Jesse B., Jaganath Chandrasekar, and Dennis S. Bernstein. "On the Zeros, Initial Undershoot, and Relative Degree of Collinear Lumped-Parameter Structures." Journal of Dynamic Systems, Measurement, and Control 129, no. 4 (2006): 493–502. http://dx.doi.org/10.1115/1.2719764.

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This paper considers collinear lumped-parameter structures where each mass in the structure has a single degree of freedom. Specifically, we analyze the zeros and relative degree of the single-input, single-output (SISO) transfer function from the force applied to an arbitrary mass to the position, velocity, or acceleration of another mass. In particular, we show that every SISO force-to-motion transfer function of a collinear lumped-parameter structure has no positive (real open-right-half-plane) zeros. In addition, every SISO force-to-position transfer function of a spring-connected collinea
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46

Boyd, Christopher, and Pilar Rueda. "Isometries of weighted spaces of holomorphic functions on unbounded domains." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139, no. 2 (2009): 253–71. http://dx.doi.org/10.1017/s0308210507001230.

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We study isometries between weighted spaces of holomorphic functions on unbounded domains in ℂn. We show that weighted spaces of holomorphic functions on unbounded domains may exhibit behaviour different from that observed on bounded domains. We calculate the isometries for specific weights on the complex plane and the right half-plane.
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47

Goudarzian, Alireza, Adel Khosravi, and Heidar Ali Raeisi. "Analysis of a step-up dc/dc converter with capability of right-half plane zero cancellation." Renewable Energy 157 (September 2020): 1156–70. http://dx.doi.org/10.1016/j.renene.2020.05.088.

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48

Sariyildiz, Emre, İlhan Mutlu, and Rahim Mutlu. "A disturbance observer-based robust controller design for systems with right half plane zeros and poles." European Journal of Control 41 (May 2018): 53–62. http://dx.doi.org/10.1016/j.ejcon.2018.01.002.

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49

Holt, Bradley R., and Manfred Morari. "Design of resilient processing plants—VI. The effect of right-half-plane zeros on dynamic resilience." Chemical Engineering Science 40, no. 1 (1985): 59–74. http://dx.doi.org/10.1016/0009-2509(85)85047-8.

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50

Cui, Wei, Hirofumi Anno, Takeshi Kondo, et al. "Right ventricular volume measurement with single-plane Simpson's method based on a new half-circle model." International Journal of Cardiology 94, no. 2-3 (2004): 289–92. http://dx.doi.org/10.1016/j.ijcard.2003.06.003.

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