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Journal articles on the topic 'Multivariable H'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Priyanka, Gupta*1 &. Dr Neelam Pandey2. "INTEGRAL INVOLVING THE MULTIVARIABLE H-FUNCTIONS." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 6, no. 5 (2019): 80–85. https://doi.org/10.5281/zenodo.2693875.

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In this paper, the author presented certain integrals involving product of the multivariable H-function with exponential function, Gauss’s hypergeometric function and Fox’s function. The results derived here and basic in natural and many include a number of known and new results as particular cases.

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2

Grimble, M. J. "Generalised H∞ multivariable controllers." IEE Proceedings D Control Theory and Applications 136, no. 6 (1989): 285. http://dx.doi.org/10.1049/ip-d.1989.0037.

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3

HERSH, M. A. "H∞ filtering of multivariable systems." International Journal of Control 50, no. 4 (1989): 1143–51. http://dx.doi.org/10.1080/00207178908953422.

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4

Hersh, M. A. "H ∞ Filtering of Multivariable Systems." IFAC Proceedings Volumes 20, no. 5 (1987): 37–42. http://dx.doi.org/10.1016/s1474-6670(17)55006-5.

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5

Grimble, M. J. "H∞ multivariable-control-law synthesis." IEE Proceedings D Control Theory and Applications 140, no. 5 (1993): 353. http://dx.doi.org/10.1049/ip-d.1993.0047.

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6

Kumar, Hemant, and Surya Kant Rai. "MULTIPLE FRACTIONAL DIFFUSIONS VIA MULTIVARIABLE H-FUNCTION." Jnanabha 50, no. 01 (2020): 253–64. http://dx.doi.org/10.58250/jnanabha.2020.50124.

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In this paper, we introduce a diffusion and wave equation consisting of multidimensional space Riesz-Feller fractional operators and Caputo time fractional derivative. Imposing certain boundary values, we obtain its solution in terms of multivariable H-function and finally making an appeal to our results, we evaluate various multiple fractional diffusions.

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7

Mishra, Mithilesh K., Rajeev Shrivastava, Lakshmi N. Mishra, and S. K. Tiwari. "An Integrals Involving the Multivariable H-Functions." SAMRIDDHI : A Journal of Physical Sciences, Engineering and Technology 14, no. 04 (2022): 123–25. http://dx.doi.org/10.18090/samriddhi.v14i04.19.

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The aim of this paper is to evaluate an infinite integral involving the product of multivariable H-functions along with Srivastava polynomial and M-series by means of finite difference operations E. As the generalized hypergeometric function and multivariable H-functions are of a very general nature, the integral, on specializing the parameters, leads to a generalization of many results some of which are known and other are believed to be new.

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8

Khan, AshiqHussain, Neelam Pandey, and NisarAhamd Kangoo. "P-Transform Associated with General Class of Multivariable Polynomials and Multivariable H-Function." International Journal of Mathematics Trends and Technology 59, no. 3 (2018): 143–48. http://dx.doi.org/10.14445/22315373/ijmtt-v59p522.

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9

Frédéric, Ayant, Kumar Prvindra, and Singh Harendra. "On unified infinite integral involving product of multivariable Gimel-function and others special functions." APPLIED SCIENCE PERIODICAL XXIII, no. 3, August 2021 (2021): 1–16. https://doi.org/10.5281/zenodo.6796914.

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              The multivariable Gimel function [2] is an unified special function, it’s an extension of the multivariable Aleph-function defined by Ayant [1], the multivariable I-function defined by Prasad [9], the multivariable I-function defined by Prathima et al. [11] at a time, of course this function is a generalization of the multivariable H-function. To define this function, we use the multiple Mellin-Barnes integrals contour. 

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10

Yashwant, Singh, and Kumar Mandia Harmendra. "ON AN EXPANSION FORMULA FOR THE MULTIVARIABLE I - FUNCTION INVOLVING GENERALIZED LEGENDRE'S ASSOCIATED FUNCTION." International Journal of Research – Granthaalayah 4, no. 1 (2017): 55–62. https://doi.org/10.5281/zenodo.848169.

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The authors have established a new expansion formula for multivariable I -function due to Prasad [5] in terms of products of the multivariable I -function and the generalized Legendre’s associated function due to Meulenbeld [3]. Some special cases are given in the last.

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11

Castaño, F., M. G. Ortega, and F. R. Rubio. "A MULTIVARIABLE H∞ CONTROLLER FOR A ROTARY DRYER." IFAC Proceedings Volumes 35, no. 1 (2002): 85–90. http://dx.doi.org/10.3182/20020721-6-es-1901.00349.

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12

CASAVOLA, A., M. J. GRIMBLE, and E. MOSCA. "Extensions to generalized LQG and H∞ multivariable controllers." International Journal of Control 63, no. 3 (1996): 507–17. http://dx.doi.org/10.1080/00207179608921854.

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13

Kumar, Dinesh, Frédéric Ayant, and Jessada Tariboon. "On Transformation Involving Basic Analogue of Multivariable H-Function." Journal of Function Spaces 2020 (May 28, 2020): 1–7. http://dx.doi.org/10.1155/2020/2616043.

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In this article, fractional order q-integrals and q-derivatives involving a basic analogue of multivariable H-function have been obtained. We give an application concerning the basic analogue of multivariable H-function and q-extension of the Leibniz rule for the fractional q-derivative for a product of two basic functions. We also give the corollary concerning basic analogue of multivariable Meijer’s G-function as a particular case of the main result.

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14

Shaw, William T. "Multivariable alarming using neural networks." ISA Transactions 29, no. 1 (1990): 57–62. http://dx.doi.org/10.1016/0019-0578(90)90033-h.

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15

MARSKOLE, SEEMA, and S. S. SHRIVASTAVA. "Multivariable H-Function and Problem Related to Flux Condition." Journal of Ultra Scientist of Physical Sciences Section A 28, no. 5 (2016): 232–34. http://dx.doi.org/10.22147/jusps-a/280501.

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16

Barenthin, Märta, Xavier Bombois, and Håkan Hjalmarsson. "MIXED H2 AND H∞ INPUT DESIGN FOR MULTIVARIABLE SYSTEMS." IFAC Proceedings Volumes 39, no. 1 (2006): 1335–40. http://dx.doi.org/10.3182/20060329-3-au-2901.00216.

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17

Naresh Bhati. "Finite Integral Formulas Involving H -Function and Multivariable Polynomial." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 663–74. https://doi.org/10.52783/cana.v32.3971.

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This study presents three finite integrals that include the product of multivariable polynomials and the -function. Additionally, some special cases have been identified that involve well-known functions like the H-function, G-function, and the generalized Wright hypergeometric function.

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18

Ayant, F. Y. "Eulerian Integral Associated with Product of Two Prasad's Multivariable H-Functions, the Classes of Multivariable Polynomials." International Journal of Mathematics Trends and Technology 60, no. 2 (2018): 117–27. http://dx.doi.org/10.14445/22315373/ijmtt-v60p519.

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19

Zheng, Hong, Yaodeng Chen, Shiwei Zheng, Deming Meng, and Tao Sun. "Radar Reflectivity Assimilation Based on Hydrometeor Control Variables and Its Impact on Short-Term Precipitation Forecasting." Remote Sensing 15, no. 3 (2023): 672. http://dx.doi.org/10.3390/rs15030672.

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Radar reflectivity assimilation is often used to initialize hydrometeors, to which Numerical Weather Prediction (NWP) is highly sensitive. To better initialize hydrometeors, this study further developed the background error covariance (BEC) with vertical and multivariable correlations of hydrometeor control variables (H-BEC) in the WRF three-dimensional variational data assimilation system (WRFDA-3DVar). The impacts of the H-BEC are discussed using single radar reflectivity tests and series of cycling data assimilation and forecasting experiments for five multi-type convective rainfall cases.

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20

Mullen, G. J., and P. R. Brinson. "Experimental evaluation of multivariable rotor control schemes." Aeronautical Journal 103, no. 1030 (1999): 557–68. http://dx.doi.org/10.1017/s0001924000064198.

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Abstract The performance and robustness of a classical multivariable controller and one H∞ compensator are assessed on a model rotor rig. Both control schemes are subjected to sinusoidal and step input tests in the pitch and roll axes under a range of operating conditions and configurations. A brief description of the characteristics of the rotor mathematical model is provided, followed by a summary of the design assessment criteria. Following a description of the two control law design techniques, the performance of each controller is verified on the mathematical model prior to evaluation on

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21

Nitesh Kumar Sahu. "Heat Conduction in a Square Plate Involving Multivariable H-Function." Communications on Applied Nonlinear Analysis 32, no. 2s (2024): 304–11. https://doi.org/10.52783/cana.v32.2402.

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A rigorous mathematical paradigm incorporating the multivariable H-function is devised to elucidate heat conduction phenomena in square plates. This innovative framework facilitates the derivation of a precise temperature field model, thereby enabling a comprehensive examination of the interplay between plate geometry and heat propagation characteristics. The analytical solution is substantiated through meticulous numerical simulations, underscoring the multivariable H-function's exceptional capability in capturing intricate heat conduction dynamics under disparate boundary conditions. This in

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22

Kim, Junghoon, and Jung Hoon Kim. "The $ L_1 $-induced norm analysis for linear multivariable differential equations." AIMS Mathematics 9, no. 12 (2024): 34205–23. https://doi.org/10.3934/math.20241629.

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<p>In this paper, we consider the $ L_1 $-induced norm analysis for linear multivariable differential equations. Because such an analysis requires integrating the absolute value of the associated impulse response on the infinite-interval $ [0, \infty) $, this interval was divided into $ [0, H) $ and $ [H, \infty) $, with the truncation parameter $ H $. The former was divided into $ M $ subintervals with an equal width, and the kernel function of the relevant input\slash output operator on each subinterval was approximated by a $ p $th order polynomial with $ p = 0, 1, 2, 3 $. This derive

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23

Krajewski, W., A. Lepschy, G. A. Mian, and U. Viaro. "Optimality conditions in multivariable L2 model reduction." Journal of the Franklin Institute 330, no. 3 (1993): 431–39. http://dx.doi.org/10.1016/0016-0032(93)90090-h.

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24

Rayouf, Zeineb, Chekib Ghorbel, and Naceur Benhadj Braiek. "Nonfragile H ∞ Stabilizing Nonlinear Systems Described by Multivariable Hammerstein Models." Complexity 2021 (February 18, 2021): 1–12. http://dx.doi.org/10.1155/2021/8833768.

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This paper presents the problem of robust and nonfragile stabilization of nonlinear systems described by multivariable Hammerstein models. The objective is focused on the design of a nonfragile feedback controller such that the resulting closed-loop system is globally asymptotically stable with robust H ∞ disturbance attenuation in spite of controller gain variations. First, the parameters of linear and nonlinear blocks characterizing the multivariable Hammerstein model structure are separately estimated by using a subspace identification algorithm. Second, approximate inverse nonlinear functi

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25

Marskole, Dr Seema, and Dr S. S. Shrivastava. "On Some New Linear Generating Relations Involving Multivariable H-Function." IOSR Journal of Mathematics 12, no. 05 (2016): 55–57. http://dx.doi.org/10.9790/5728-1205025557.

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26

Roberts, Paul A., Matthew C. Turner, Gustavo Medrano-Cerda, Ian Postlethwaite, and Paul Rees. "MULTIVARIABLE H∞ CONTROLLER DESIGN AND TESTING FOR A 2.4M TELESCOPE." IFAC Proceedings Volumes 38, no. 1 (2005): 269–74. http://dx.doi.org/10.3182/20050703-6-cz-1902.01255.

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27

Park, Kiheon, and Joseph J. Bongiorno. "Persistent inputs and the standard H 2 multivariable control problem." International Journal of Control 82, no. 11 (2009): 2002–12. http://dx.doi.org/10.1080/00207170902855644.

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28

López, Manuel J., and Francisco R. Rubio. "Comparison Between Multivariable H ∞ and LTR Controllers for a Ship." IFAC Proceedings Volumes 28, no. 2 (1995): 312–19. http://dx.doi.org/10.1016/s1474-6670(17)51687-0.

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29

Jie Chen, J. A. Farrell, C. N. Nett, and Kemin Zhou. "H/sub ∞/ identification of multivariable systems by tangential interpolation methods." IEEE Transactions on Automatic Control 41, no. 12 (1996): 1822–28. http://dx.doi.org/10.1109/9.545750.

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30

Ferreres, G., and M. M'saad. "H ∞ Design of a Multivariable Missile Autopilot Using Coprirne Factors." IFAC Proceedings Volumes 27, no. 13 (1994): 141–46. http://dx.doi.org/10.1016/s1474-6670(17)45790-9.

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31

Hsiao, Feng-Hsiag, Chin E. Lin, Ciann-Dong Yang, and Chia-Yuang Chang. "H∞-Optimal Observer-Based Controller Design for Nonlinear Multivariable Systems." Journal of Mathematical Analysis and Applications 203, no. 3 (1996): 573–96. http://dx.doi.org/10.1006/jmaa.1996.0398.

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32

Garg, O. P., and Virendra Kumar. "Certain multiple integral relations involving multivariable $ H $-function and general polynomials." Tamkang Journal of Mathematics 32, no. 4 (2001): 259–69. http://dx.doi.org/10.5556/j.tkjm.32.2001.340.

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In this paper, first we obtain a finite integral involving multivariable $ H $-function and general classes of polynomials. Next, with the application of this and a lemma due to Srivastava et al. (1981) we obtain two general multiple integral relations involving the multivariable $ H $-function, general classes of polynomials and two arbitrary function $ f $ and $ g $. Again, by suitably specializing the functions $ f $ and $ g $ occurring in the main integral relations, we have also evaluated multiple integrals which are new and quite general in nature.

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33

Ayant, Frédéric, and Dinesh Kumar. "Generating relations and multivariable Aleph-function." Analysis 38, no. 3 (2018): 137–43. http://dx.doi.org/10.1515/anly-2017-0054.

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Abstract Srivastava and Panda have studied the simple and multiple generating relations concerning the multivariable H-function. The aim of this paper is to derive the various classes of simple and multiple generating relations involving the multivariable Aleph-function. The generating function is used in the theory of numbers, in physics and other fields of mathematics. We see the particular cases concerning the multivariable I-function, the Aleph-function of two variables and the I-function of two variables.

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34

Reza, F. M. "On the two classes of multivariable reactance functions." Computers & Electrical Engineering 17, no. 2 (1991): 61–63. http://dx.doi.org/10.1016/0045-7906(91)90002-h.

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35

Casavola, Alessandro, Francesco Tedesco, and Pasquale Vaglica. "H 2 and H ∞ Optimal Control Strategies for Energy Harvesting by Regenerative Shock Absorbers in Cars †." Vibration 3, no. 2 (2020): 99–115. http://dx.doi.org/10.3390/vibration3020009.

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Regenerative suspension systems, unlike traditional passive, semi-active or active setups, are able to convert the traditionally wasted kinetic energy into electricity. This paper discusses flexible multi-objective control design strategies based on LMI formulations to suitably trade-off between the usual road handling and ride comfort performance and the amount of energy to be harvested. An electromechanical regenerative vehicle suspension system is considered where the shock absorber of each wheel is replaced by a linear electrical motor which is actively governed. It is shown by simulations

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36

Ayant, F. Y. "Kober Fractional Q-Integral of Basic Analogue of Multivariable H-Function and Basic Analogue of Multivariable Meijer-Function." International Journal of Mathematics Trends and Technology 63, no. 2 (2018): 145–50. http://dx.doi.org/10.14445/22315373/ijmtt-v63p519.

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37

Bittanti, S., S. Canevese, V. Casamassima, A. De Marco, and M. Rapizza. "Multivariable H∞ Loop-Shaping Control for a PWR Nuclear Power Plant." IFAC Proceedings Volumes 45, no. 21 (2012): 307–12. http://dx.doi.org/10.3182/20120902-4-fr-2032.00055.

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38

Havre, Kjetil, and Sigurd Skogestad. "Achievable H ∞ -performance of multivariable systems with unstable zeros and poles." IFAC Proceedings Volumes 32, no. 2 (1999): 1961–66. http://dx.doi.org/10.1016/s1474-6670(17)56333-8.

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39

Żak, Stanislaw H. "Algebraic Theory for Multivariable Linear Systems (H. Blomberg and R. Ylinen)." SIAM Review 27, no. 1 (1985): 130–31. http://dx.doi.org/10.1137/1027050.

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40

Ortiz, Juan Paul, Luis Ismael Minchala, and Manuel Jeova Reinoso. "Nonlinear Robust H-Infinity PID Controller for the Multivariable System Quadrotor." IEEE Latin America Transactions 14, no. 3 (2016): 1176–83. http://dx.doi.org/10.1109/tla.2016.7459596.

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41

Bejarano, Guillermo, José A. Alfaya, Manuel G. Ortega, and Francisco R. Rubio. "Multivariable analysis and H ∞ control of a one-stage refrigeration cycle." Applied Thermal Engineering 91 (December 2015): 1156–67. http://dx.doi.org/10.1016/j.applthermaleng.2015.09.003.

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42

Cantú, Luis F., Pedro Mendiola, Álvaro A. Domínguez, and Alberto Cavazos. "Parametric Robust Control of the Multivariable 2 × 2 Looper System in Steel Hot Rolling: A Comparison between Multivariable QFT and H∞." Metals 9, no. 8 (2019): 839. http://dx.doi.org/10.3390/met9080839.

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Two robust mutlivariable controllers, H∞ and a decentralized quantitative feedback theory (QFT), are designed in the frequency domain for the 2 × 2 looper system in a steel hot rolling mill to keep stability in the presence of parametric uncertainties. The H∞ controller is designed by using the mixed sensitivity approach, while the multivariable decentralized QFT is designed by the extension of the sequential loop closing method presented elsewhere. Stability robustness conditions are verified in the frequency domain, while simulations in time domain are carried out to evaluate the controllers

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43

Baecher, Kirsten M., Michael K. Turgeon, Caroline R. Medin, et al. "Do Oncologic Outcomes From Head and Neck Versus Truncal and Extremity Melanoma Differ? A Single-Institution Single-Subspecialty Experience." American Surgeon 88, no. 3 (2021): 480–88. http://dx.doi.org/10.1177/00031348211050813.

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Background Outcomes are thought to be worse in head and neck (H&N) melanoma patients. However, definitive evidence of inferior outcomes in H&N melanoma in the modern era is lacking. We sought to ascertain whether H&N melanomas carry a worse prognosis than melanomas of other sites. Methods All patients who underwent excision for primary melanoma by fellowship-trained surgical oncologists at a single institution from 2014 to 2020 were queried from the electronic medical record. Patients who had AJCC eighth edition stage I-III disease were included. Results Of 1127 patients, 28.7% had

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44

Tsai, Mi-Ching, and Yen-Ping Shin. "H ∞ Optimal Robust Control of Feedback Systems." Journal of Dynamic Systems, Measurement, and Control 111, no. 2 (1989): 336–39. http://dx.doi.org/10.1115/1.3153056.

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In this paper, we apply and extend Young’s algorithm for the Nevanlinna-Pick problems to solve an optimal robust stabilizer in multivariable feedback control systems. A sufficient condition for the existence of a robust stabilizer, in terms of the unstable poles of a given nominal plant and its uncertainty band function, is derived and an explicit formula for synthesizing the optimal robust stabilizer is also given.

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45

Mitov, Alexander, Tsonyo Slavov, and Jordan Kralev. "Comparison of Advanced Multivariable Control Techniques for Axial-Piston Pump." Processes 12, no. 9 (2024): 1797. http://dx.doi.org/10.3390/pr12091797.

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This article is devoted to a comparison of two advanced control techniques applied to the same plant. The plant is a certain type of axial-piston pump. A linear-quadratic (LQR) controller and an H-infinity (H∞) controller were synthesized to regulate the displacement volume of the pump. The classical solution to such a problem is to use a hydro-mechanical controller (by pressure, flow rate, or power) but, in the available sources, there are solutions that implement proportional-integral-derivative (PID), LQR, model predictive control (MPC), etc. Unlike a classical solution, in our case, the hy

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46

Mitrishkin, Yuri V., Alexei V. Kadurin, and Alexander Y. Korostelev. "Tokamak Plasma Shape and Current H∞ Controller Design in Multivariable Cascade System." IFAC Proceedings Volumes 44, no. 1 (2011): 3722–27. http://dx.doi.org/10.3182/20110828-6-it-1002.00412.

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47

Shrivastava, H. S. P. "Evaluation of Certain Class of Eulerian Integrals of the Multivariable H-Function." Mathematical and Computational Applications 3, no. 2 (1998): 113–25. http://dx.doi.org/10.3390/mca3020113.

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48

GRIMBLE, M. J. "Optimal H ∞ multivariable robust controllers and the relationship to LQG design problems." International Journal of Control 48, no. 1 (1988): 33–58. http://dx.doi.org/10.1080/00207178808906159.

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49

Choi, Junesang, Jitendra Daiya, Dinesh Kumar, and Ram Kishore Saxena. "FRACTIONAL DIFFERENTIATION OF THE PRODUCT OF APPELL FUNCTION F3AND MULTIVARIABLE H-FUNCTIONS." Communications of the Korean Mathematical Society 31, no. 1 (2016): 115–29. http://dx.doi.org/10.4134/ckms.2016.31.1.115.

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50

Yaesh, I., and U. Shaked. "Two-degree-of-freedom H/sub infinity /-optimization of multivariable feedback systems." IEEE Transactions on Automatic Control 36, no. 11 (1991): 1272–76. http://dx.doi.org/10.1109/9.100936.

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