WSEAS Transactions on Circuits and Systems
Print ISSN: 1109-2734, E-ISSN: 2224-266X
Volume 13, 2014
Analysis of Lyapunov Function Features for Some Strategies of the Network Optimization Problem
Authors: ,
Abstract: General methodology for system design was elaborated by means of the optimal control theory approach. The problem of analog system design can be formulated in this case as a classical problem of the optimal control for some functional minimization. In this context the aim of the optimal control is to result to minimum point a cost function of the design process and to minimize the total computer time. The minimal time system design algorithm was defined as the problem of functional minimization. By this definition the aim of the system design process with minimal computer time is presented as a transition process of some dynamic system that has the minimal transition time. The optimal sequence of the control vector switch points was determined as a principal characteristic of the minimal-time system design algorithm. The conception of the Lyapunov function was proposed to analyze the behavior of design process. The special function that is a combination of the Lyapunov function and its time derivative was proposed to predict the design time of any strategy by means of the initial time interval analysis.
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Pages: 208-217
WSEAS Transactions on Circuits and Systems, ISSN / E-ISSN: 1109-2734 / 2224-266X, Volume 13, 2014, Art. #21