scholarly journals Bounded convergence of convex composed functions

2007 ◽  
Vol 20 ◽  
pp. 157-169
Author(s):  
M. Laghdir ◽  
R. Benabbou ◽  
N. Benkenza
Keyword(s):  
Composed Functions

Existence results and gap functions for the generalized equilibrium problem with composed functions

2010 ◽  
Vol 72 (1) ◽  
pp. 316-324 ◽  
Author(s):  
Radu Ioan Boţ ◽  
Adela Elisabeta Capătă
Keyword(s):  
Equilibrium Problem ◽  
Existence Results ◽  
Gap Functions ◽  
Generalized Equilibrium Problem ◽  
Composed Functions ◽  
Generalized Equilibrium

scholarly journals On the differentiability of composed functions

1974 ◽  
Vol 099 (4) ◽  
pp. 352-362
Author(s):  
Miloslav Jůza
Keyword(s):  
Composed Functions

F-manifolds from Composed Functions

2006 ◽  
pp. 187-199
Author(s):  
Ignacio de Gregorio ◽  
David Mond
Keyword(s):  
Composed Functions

The NOF Multiparty Communication Complexity of Composed Functions

2012 ◽  
pp. 13-24 ◽  
Author(s):  
Anil Ada ◽  
Arkadev Chattopadhyay ◽  
Omar Fawzi ◽  
Phuong Nguyen
Keyword(s):  
Communication Complexity ◽  
Multiparty Communication ◽  
Composed Functions

The NOF Multiparty Communication Complexity of Composed Functions

2014 ◽  
Vol 24 (3) ◽  
pp. 645-694 ◽  
Author(s):  
Anil Ada ◽  
Arkadev Chattopadhyay ◽  
Omar Fawzi ◽  
Phuong Nguyen
Keyword(s):  
Communication Complexity ◽  
Multiparty Communication ◽  
Composed Functions

Deployment the Spoke of a Large-Sized Transformable Refl ector Using a Sequential Optimization Algorithm

2021 ◽  
Vol 22 (8) ◽  
pp. 433-441
Author(s):  
S. A. Kabanov ◽  
D. S. Kabanov
Keyword(s):  
Optimization Algorithm ◽  
Simulation Modeling ◽  
Spreading Rate ◽  
Terminal Condition ◽  
Sequential Optimization ◽  
Bending Vibrations ◽  
The Maximum Principle ◽  
Composed Functions ◽  
Comparison Of The Results ◽  
Weight Coefficients

The use of large-sized opening reflectors close-packed in spacecraft is associated with spreading the spokes at a given angle, extending the fragments of the spokes and adjusting the shape of the radio-reflecting mesh. The problem of optimizing these processes with automatic output of the reflector to the deployed working state is urgent. The optimal control problem of spreading spokes of a large-sized space-based reflector with respect to bending vibrations is investigated in the article. The optimization process is complicated by ensuring convergence of iterative procedure for control finding. The bending vibrations of the spokes complicate the task of spreading. That makes it difficult to fix spokes when reaching the stops. In this paper the mathematical model of spoke dynamics is improved with respect to spoke’s bend change in length and in time, the model takes into account the presence of stop and retainer devices and an actuator. It is proposed to consider a hierarchy of two target composed functions and develop an algorithm for sequential optimization for a smooth exit to the stops. It is suggested to include the terminal condition for the angular spreading rate in the first criterion. A study was carried out using mathematical simulation for the process of turning the spoke by a given angle at small values of the angular velocity at the final moment of time taking into account bending vibrations. The exact values of the weight coefficients included in the target composed functions are found. Weight coefficients influence on transient processes is investigated. The performance of the algorithm was checked when the value of the optimization interval was changed. The comparison of the results of simulation modeling with control options using the PID controller, application of an algorithm with a predictive model and an algorithm with optimal correction of the control structure, revealed by means of the maximum principle, was carried out. The results of simulation modeling foe spokes spreading process using the sequential optimization algorithm demonstrate the achievement of the required accuracy with permissible tolerance residual vibrations. The developed algorithm of sequential optimization forms control in a real time and it is recommended to use it in more complex solutions under random disturbances using measurement process and optimization of observation intervals.

Cliff functions - a tool tor treating sequences of composed functions

1978 ◽  
Vol 18 (1-2) ◽  
pp. 35-53 ◽  
Author(s):  
Lundberg Anders
Keyword(s):  
Composed Functions

Graphs of Composed Functions

2000 ◽  
pp. 21-32
Author(s):  
Vladimir Rovenski
Keyword(s):  
Composed Functions
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