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Manar Lashin,Mohamed Fanni,Abdelfatah M. Mohamed,Tomoyuki Miyashita 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.1
This paper affords dynamic modeling and control for a new 3D pantograph manipulator. The new manipulatorpossesses pure decoupled translational motions and it is characterized by large workspace to size ratio,high speed, rigidity, and accuracy. Euler-Lagrange first type method is used to get the dynamic model. However,the resulted dynamic model is too complex to be used in model-based control techniques. Therefore, a simplifiednominal plant is proposed. It allows the inverse dynamic solution efficiently. However, an explicit form of thenominal Coriolis and centrifugal matrix cannot be obtained due to the complicated kinematic terms. Consideringthese dynamic characteristics as well as the required robust trajectory tracking performance of the manipulator, anew controller is proposed. The new controller is called inverse optimal PID with Feed-Forward Control which isdesigned in H∞ framework. The new controller has the following merits; robustness, optimality, simple implementation,and efficient execution without the need of explicit forms of dynamic matrices. The extended disturbance inthe proposed controller is smaller than that in the inverse optimal PID control (IPID) and contains one type of errorcontrary to the nonlinear robust motion controller (NRIC). The performance of the proposed controller is comparedwith those of IPID and NRIC controllers for different trajectories and payloads. The dynamic simulation resultsvia co-simulation of MSC-ADAMS R ⃝ and MATLAB R ⃝ /Simulink software prove the robustness of the proposedcontroller against speed/payload variations. The proposed controller is found to have higher performance comparedwith IPID and NRIC controllers. These results assure the feasibility of the 3D pantograph manipulator with theproposed controller for pure translational tracking applications.
Abdul Moneim Yousof Lashin,Abeer Omard Ahmad Badghaish,Fayzah Awad Alshehri 경북대학교 자연과학대학 수학과 2024 Kyungpook mathematical journal Vol.64 No.1
This paper introduces two new subclasses of analytical functions with negative coefficients and derives coefficient estimates for these novel subclasses. Further, inclusion relations and necessary and sufficient conditions for the Poisson distribution series to belong to these subclasses are established.
On A Subclass of Harmonic Multivalent Functions Defined by a Certain Linear Operator
Darwish, Hanan Elsayed,Lashin, Abdel Moneim Yousof,Sowileh, Suliman Mohammed Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.4
In this paper, we introduce and study a new subclass of p-valent harmonic functions defined by modified operator and obtain the basic properties such as coefficient characterization, distortion properties, extreme points, convolution properties, convex combination and also we apply integral operator for this class.
On Certain Subclasses of Starlike p-valent Functions
Darwish, Hanan Elsayed,Lashin, Abd-el Monem Yousof,Soileh, Soliman Mohammed Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.3
The object of the present paper is to investigate the starlikeness of the class of functions $f(z)=z^p+{\sum\limits_{k=n}^{\infty}}a_p+k^{z^{p^{+k}}} (p,n{\in}{\mathbb{N}}=\{1,2,{\ldots}\})$ which are analytic and p-valent in the unit disc U and satisfy the condition $\|(1-{\lambda}({\frac{f(z)}{z^p}})^{\alpha}+{\lambda}{\frac{zf^{\prime}(z)}{pf(z)}}({\frac{f(z)}{z^p}})^{\alpha}-1\|$ < ${\mu}$ (0 < ${\mu}{\leq}1$, ${\lambda}{\geq}0$, ${\alpha}$ > 0, $z{\in}U$). The starlikeness of certain integral operator are also discussed. The results obtained generalize the related works of some authors and some other new results are also obtained.
DARWISH, HANAN ELSAYED,LASHIN, ABD AL-MONEM YOUSOF,SOILEH, SOLIMAN MOHAMMED Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.3
Differential subordinations and superordinations results are obtained for certain meromorphic functions in the punctured unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of a dmissible functions. Sandwich-type results are also obtained.
On the Fekete-Szegö Problem for Starlike Functions of Complex Order
Hanan Darwish,Abdel-Moniem Lashin,Bashar Al Saeedi 경북대학교 자연과학대학 수학과 2020 Kyungpook mathematical journal Vol.60 No.3
For a non-zero complex number b and for m and n in N0 = {0, 1, 2, ...} let Ψn,m(b) denote the class of normalized univalent functions f satisfying the condition [1 + 1/b(Dn+mf(z)/Dnf(z) − 10]>0 in the unit disk U, where Dnf(z) denotes the Salagean operator of f. Sharp bounds for the Fekete-Szegö functional [a3 − µa22] are obtained.
AN APPLICATION OF CERTAIN LINEAR OPERATOR
Aouf, M.K.,Hossen, H.M.,Lashin, A.Y. Korean Mathematical Society 2000 대한수학회보 Vol.37 No.4
The object of the present paper is to give an application of a linear operator $L_p(a, c)$ defined by means of a Hadamard product (or convolution) to a Miller and Mocanu’s theorem.
Some conditions for p-valent strongly starlike functions with fixed second coefficients
M. K. Aouf,A. Y. LASHIN,조낙은 장전수학회 2019 Advanced Studies in Contemporary Mathematics Vol.29 No.3
In the the present paper we investigate some argument properties for analytic functions with xed second coecients and pos- itive real part, and we apply our results to certain p-valent functions with xed second coecients.