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Saddle Point Criteria in Nonsmooth Semi-Infinite Minimax Fractional Programming Problems

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Journal of Systems Science & Complexity 2018年第2期31卷 446-462页

作者： MISHRA S K SINGH Yadvendra VERMA R u Department of Mathematics Banaras Hindu University Varanasi-221005 India. Department of Mathematics Texas State University USA

This paper considers a nonsmooth semi-infinite minimax fractional programming problem（SIMFP） involving locally Lipschitz invex functions. The authors establish necessary optimality conditions for SIMFP. The authors establish the relationship between an optimal solution of SIMFP and saddle point of scalar Lagrange function for SIMFP. Further, the authors study saddle point criteria of a vector Lagrange function defined for SIMFP.

关键词： Generalized convexity Lagrange function nonsmooth programming problems saddlepoint semi-infinite minimax fractional programming problems.

Improved hybrid position/force controller design of a flexible robot manipulator using a sliding observer

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Journal of Systems Engineering and Electronics 2009年第1期20卷 146-158页

作者： Farooq M Wang Daobo Dar N. u Coll. of Automation Engineering Nanjing Univ. of Aeronautics & Astronautics Nanjing 210016 P. R. China Coll. of Mechanical Engineering Univ. of Engineering and Technology Taxila Pakistan

An improved hybrid position/force controller design of a flexible robot manipulator is presented using a sliding observer. The friction between the end effector and the environment is considered and compensated. For systematic reasons the controller is designed taking into consideration the rigid link subsystems and the flexible joints. The proposed control system satisfies the stability of the two subsystems and copes with the uncertainty of robot dynamics. A sliding observer is designed to estimate the time derivative of the torque applied as input to the rigid part of the robot. For the stability of the observer, it is assumed that the uncertainty of the observed system is bounded. A MRAC algorithm is used for the estimation of the friction forces at the contact point between the end effector and the environment. Finally simulation and experimental results are given, to demonstrate the effectiveness of the proposed controller.

关键词： force control sliding control Lyapunov stability robot end effector friction force.

Exact solution of Dirac equation for Scarf potential with new tensor coupling potential for spin and pseudospin symmetries using Romanovski polynomials

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Chinese Physics B 2014年第9期23卷 71-80页

作者： A.Suparmi C.Cari u.A.Deta Physics Department Faculty of Mathematics and Natural ScienceSebelas Maret University Department of Physics Faculty of Mathematics and Natural ScienceState University of Surabaya

The bound state solutions of Dirac equations for a trigonometric Scarf potential with a new tensor potential under spin and pseudospin symmetry limits are investigated using Romanovski polynomials. The proposed new tensor potential is inspired by superpotential form in supersymmetric （SuSY） quantum mechanics. The Dirac equations with trigonometric Scarf potential coupled by a new tensor potential for the pseudospin and spin symmetries reduce to Schrtdinger-type equations with a shape invariant potential since the proposed new tensor potential is similar to the superpotential of trigonometric Scarf potential. The relativistic wave functions are exactly obtained in terms of Romanovski polynomials and the relativistic energy equations are also exactly obtained in the approximation scheme of centrifugal term. The new tensor potential removes the degeneracies both for pseudospin and spin symmetries.

关键词： Scarf potential new tensor potential spin and pseudospin symmetries Romanovski polynomials

Application of Reactive Ion Etching to the Fabrication of Microstructure on Mo/Si Multilayer

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Chinese Physics Letters 1999年第9期16卷 665-666页

作者： LE Zi-chun L.Dreeskornfeld S.Rahn R.Segler u.Kleineberg u.Heinzmann Institute of Atomic and Molecular Physics Jilin UniversityChangchun 130012 Fakultät für Physik Universität BielefeldUniversitatsstraβe 25D-33615 BielefeldGermany

Mo/Si muitilayer mirrors(30 periods,doublelayer thickness 7nm)with the AZ-PF514 resist pattern whose smallest lines and spaces structure was 0.5pm were etched by reactive ion etching(RIE)in a fluorinated *** etch rate,selectivity and etch profile were investigated as a function of the gas mixture,pressure,and plasma rf *** groove depth and the etch proHle were investigated by an atomic force microscope before RIE,after RIE and after resist removal.

关键词： Mo/Si smallest selectivity

Discrete time dynamics of a SIRD reinfection model

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International Journal of Biomathematics 2023年第5期16卷 49-70页

作者： F.F.Eshmatov u.u.Jamilov Kh.O.Khudoyberdiev 221 School 33Feruza Street 100124 TashkentUzbekistan V.I.Romanovskiy Institute of Mathematics uzbekistan Academy of Sciences 9 University Street100174 TashkentUzbekistan AKFA university 264National Park Street Barkamol MFYYangiabad VillageQibray District 111221 Tashkent RegionUzbekistan National university of uzbekistan 4 University Street100174 TashkentUzbekistan

This paper deals with a discrete-time dynamical system generated by a modified susceptible-infected-recovered-dead model(SIRD model;nonlinear operator)in threedimensional *** introduce a novel approach that incorporates the SIRD model with the quadratic stochastic operator(QSO)that allows for real-time *** basic reproductive number Ro is *** describe the set of fixed points of the operator and demonstrate that all fixed points are ***,we study the asymptotical behavior of the trajectories of this system and show that SIRD operators havea regularity property.

关键词： Modeling quadratic stochastic operator regular operator

Temperature uniformity,Correlations and the Flow Field in Swirling Impinging Jets

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Journal of Thermal Science 2023年第2期32卷 662-679页

作者： Zahir u.AHMED Yasir M.AL-ABDELI Department of Mechanical Engineering Khulna University of Engineering&TechnologyKhulna 9203Bangladesh School of Engineering Edith Cowan UniversityJoondalupWA 6027Australia

Infrared thermography,velocity and impingement pressure measurements alongside numerical modelling are used in this study to resolve(heated)surface temperature distributions of turbulent swirling impinging jets for two Reynolds numbers(Re=11600 and 24600).Whilst building upon earlier discoveries for this same geometry,this paper provides three new contributions:(1)identifying the role of impingement distance(H/D)as a deciding factor in the trade-off between more efficient heat transfer(at high swirl numbers)and achieving better substrate temperature uniformity(lower gradients),(2)developing correlations to predict Nusselt number for swirling and non-swirling cooling jets,and(3)predicting the underlying mixing field in these jets and its interplay with the thermal distributions *** indicate substrate temperature uniformity varies based on H/D and swirl intensity(S)with a significant level of thermal non-uniformity occurring in near-field impingement(H/D=1)at stronger swirl(S=0.59 and 0.74).Four correlations describing the effects of S,Re,and H on the average heat transfer and stagnation heat transfer are developed and yield accuracies of 8%and 12%,*** recirculation near the impingement surface is predicted at H/D=1 for stronger swirl jets which disappears at other substrate *** peak wall shear stress reduces and the flow impingement becomes radially wider at higher H/D and *** turbulence or eddy viscosity regions for non-swirling jets(S=0)are predicted in the shear layer and entrainment regions at H/D=1,but such turbulence is confined to the impingement and wall jet regions for strongly swirling flows.

关键词： Temperature uniformity Nusselt number IR imaging CTA RANS

Inter-relationship of Various Results in Analysis of （14.0 MeV／u） Pb＋Pb Reaction using Mica and CN-85 Track Detectors

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Chinese Physics Letters 2005年第1期22卷 69-71页

作者： F.N.Khattak E.u.Khan TabassumNasir J.J.Baluch F.u.Khan u.W.C. GomalUniversityDeraIsmailKhanPakistan RadiationPhysicsDivision PINSTECHNiloreIslamabadPakistan DepartmentofPhysics GomalUniversityDeraIsmailKhanPakistan

Two detector materials mica and cellulose-nitrate(CN)-85 have been used to study (14.0MeV/u) Pb + Pb reaction. Events of different multiplicities were registered in mica and CN-85 detectors using the 2π-geometry technique of solid state nuclear track detection. After removing the target material from the detectors the damaged trails in the detectors were revealed as tracks by proper chemical etching. The irradiated area of each sample was scanned and events of different multiplicities were traced. The binary events were bifurcated into elastic and inelastic events. The elastic binary events and three prong events, observed in the reaction, have been used to search out coefficients Cμν in the presence of both the detectors, for the reaction under study. using these coefficients 3- and 4-prong events have been analysed. From the detailed analysis of the results of (14.0MeV/u) Pb+Pb reaction, obtained from mica and CN-85 track detectors we observed a great resemblance of results obtained from the two detectors. Combining the results of both the detectors, we report some important outcomes.

关键词： CN-85轨迹探测器高能物理学铅原子碰撞反应固态

Optimal Site and Size of Distributed Generation Allocation in Radial Distribution Network using Multi-objective Optimization

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Journal of Modern Power Systems and Clean Energy 2021年第2期9卷 404-415页

作者： Aamir Ali M.u.Keerio J.A.Laghari the Department of Electrical Engineering Quaid-E-Awam University of Engineering Science and TechnologyNawabshahPakistan

Distributed generation(DG)allocation in the distribution network is generally a multi-objective optimization *** maximum benefits of DG injection in the distribution system highly depend on the selection of an appropriate number of DGs and their capacity along with the best *** this paper,the improved decomposition based evolutionary algorithm(I-DBEA)is used for the selection of optimal number,capacity and site of DG in order to minimize real power losses and voltage deviation,and to maximize the voltage stability *** proposed I-DBEA technique has the ability to incorporate non-linear,nonconvex and mixed-integer variable problems and it is independent of local extrema *** order to validate the effectiveness of the proposed technique,IEEE 33-bus,69-bus,and 119-bus standard radial distribution networks are ***,the choice of optimal number of DGs in the distribution system is also *** simulation results of the proposed method are compared with the existing *** comparison shows that the proposed method has the ability to get the multi-objective optimization of different conflicting objective functions with global optimal values along with the smallest size of DG.

关键词： Distribution system distributed generation multi-objective optimization active power loss improved decomposition based evolutionary algorithm(I-DBEA)

Pressure and Spectral Density of Fermions at Finite Temperature

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Chinese Physics Letters 1999年第10期16卷 709-711页

作者： HOu De-fu u.Heinz LI Jia-rong Institute of Particle Physics Huazhong Normal UniversityWuhan 430079 Institut fur Theoretische Physik Universitat RegensburgD-93040 RegensburgGermany

The pressure of a fermion system is expressed as a mass integral over the full two-point spectral densities within the real time formalism by use of the Keldysh representation for the *** simpliSes the calculation significantly and allows a Dyson *** expression is used to demonstrate that potential infrared divergences are rendered *** apply it to check the pressures of an ideal fermion gas and of a chemically non-equilibrated quantum chromodynamics plasma.

关键词： Fermi apply render