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Plenary Lecture

Network Optimization as Controllable Dynamic Process

 

Professor  Alexander Zemliak
Puebla Autonomous University,
MEXICO,
National Technical University of Ukraine “Kiev Polytechnic Institute”,
UKRAIN

E-mail: azemliak@yahoo.com
 


Abstract: The problem of the computer time reduction of a large system design is one of the essential problems of the total quality design improvement. The size and the complexity of the systems grow constantly. One of the main problems of a large system design is the excessive computer time that is necessary to achieve the final point of the design process. There are some powerful methods that reduce necessary time for network analysis. Besides the traditionally used ideas of sparse matrix techniques and decomposition techniques some another ways were proposed to reduce the total computer design time. Nevertheless, the time of a large-scale circuit analysis and the time of any optimization procedure increase when the network scale increases.
Meanwhile, it is possible to reformulate the total network design problem to generalize the design process. The main conception of this approach is the introduction of special control functions, which, on the one hand generalize the design process and, on the other hand, they give the possibility to control the design process to achieve the optimum of the design cost function for the minimal computer time. This possibility appears because of infinite number of different design strategies that exist within the bounds of the new theory. In this case a new quality appears due to the possibility of controlling the design process by redistributing computational burden between the circuit’s analysis and the procedure of parametric optimization.
The problem of minimal-time network design strategy is formulated as the typical problem for some functional minimization of the control theory. The network optimization process in this case is defined as a controllable dynamic system. An additional acceleration effect was discovered and permits us to reduce the computer design time more and serves as one of the fundamental notions for constructing the optimal or quasi-optimal design algorithm. This effect can be realized by means of changing of one design strategy to other with a special selection of initial point of optimization process. Analysis of the different electronic systems shows that the potential computer time gain of the optimal strategy increases when the size and complexity of the system increase. The Lyapunov function of the design process and its time derivative include the sufficient information to select more perspective design strategies from all different design strategies that exist in limits of generalized design methodology. Analysis of behavior of Lyapunov function shows a strong correlation between some characteristics of this function and a processor time. It means that the study of Lyapunov function helps us to construct the preliminary structure of a minimal-time system design algorithm. The special function has been proposed to predict an optimal structure of control vector. This function is a key to construct the minimal-time system design algorithm.


 

Brief Biography of the Speaker: 
Important Career Positions:
Professor, Dept. of Physics and Mathematics, Puebla Autonomous University, Puebla, Mexico;
Professor, Institute of Physics and Technology, National Technical University of Ukraine “KPI”, Kiev, Ukraine.

Number of MSc and PhD Students: over 60 MSc and 7 PhD.

Membership of Associations:
Ukrainian Scientific Society,
IEEE (Senior Member),
IEICE,
National System of Investigators of Mexico,
New York Academy of Sciences,
WSEAS.

Publications: 8 books, 7 guidebooks for students, 6 chapters of books, over 200 papers.

Honors: Best paper award SOMI Conf. 1999, best paper award IBERCHIP Conf. 2002.

Organizer:
- General Chairman of the WSEAS Int. Multi Conference: 2002, 2004, 2005, Cancun, Mexico;
- General Chairman of the WSEAS Int. Multi Conference 2008, Acapulco, Mexico;
- Chairman of sections in conferences: WSEAS 1999, Athens, Greece; WSEAS 2001, Malta; Int. Conf. on Fundamentals of Electronics, Commun. and Computer Sciences, 2002, Tokyo, Japan; ISCAS2003, 2003, Bangkok, Thailand.

Editorial activity:
Editor-in-Chief of the WSEAS Transactions on Systems;
Member of the Editorial Board of the WSEAS Transactions on Circuits and Systems;
Member of the Editorial Board of the WSEAS Transactions on Electronics;
Reviewer of the journal “Temas de Ciencia y Tecnologia”, Mexico.
Reviewer of the International Design Automation Conference-DAC, 2001, 2002, 2003, USA.
Reviewer of the World Multi-Conf. on Systemics, Cybernetics and Informatics, 2003 – 2007, USA.
Reviewer of the Int. Conf. on Computing, Communication and Control Technologies-CCCT, 2004 – 2007, USA.

Plenary speaker:
CONIELECOMP Int. Conf., Puebla, Mexico, 1997;
WSEAS Int. Conf., Cancun, Mexico, 2002;
3er Congreso Internacional en Computación Aplicada, Tlaxcala, Mexico, 2003;
WSEAS Int. Conf., Miami, USA, 2005;
Int. Conf. On Electronics, 2006, CINVESTAV, Queretaro, Mexico, 2006;
Int. Conf. CADSM2007, 2007, Lviv-Polyana, Ukraine;
WSEAS Int. Conf., Cancun, Mexico 2008.

Fields of Interest:
computer-aided RF and microwave system analysis and design,
optimal design methodology,
computational electromagnetics,
numerical techniques on simulation,
analysis and optimization of microwave devices.
 



 

 
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