Dynamic programming for singular control synthesis in the models of plant ontogenesis

Yu. G. Ispolov^a, A. G. Topaj<sup>b

a</sup> Saint-Petersburg State Polytechnic University
^b Agrophysical Research Institute, St. Petersburg

Abstract: Two models of regulation processes in high plants are considered: the biological switch between vegetative and generative stages and shoot-root balanced growth. The basic hypothesis is the optimality of corresponding mechanisms. It allows developing the models in the form of mathematical problem of optimal control with singular branches of optimal solution. The method for numerical analysis is presented. It is grounded on the transformation of initial problem of functional maximization to the problem of optimal operation speed and on it’s solving by means of discrete dynamic programming.

Keywords: principle of optimality, singular control, dynamic programming, production process, organogenesis, phenological development.

UDC: 51-76:519.977.54

Received: 06.12.2010

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