This article is cited in 2 papers

Differentical equations, dynamical systems and optimal control

The problem of package guidance under incomplete information and integral signal of observation

P. G. Surkov

N.N. Krasovskii Institute of Mathematics and Mechanics of UB RAS, 16 S.Kovalevskaya Str., 620990, Ekaterinburg, Russian Federation

Abstract: The problem of guaranteed closed-loop guidance at a given time is studied for a dynamical control system. The initial state is unknown, but belongs to a given finite set of admissible initial states. The information on the position of the system is represented as an integral signal. The control system of ordinary differential equations is reduced to a system of functional-differential equations with the simplification of the form of the signal. The problem of package guidance is formulated for such system and a solvability criterion is proved. For a particular case of the integral signal, the solvability criterion is rewritten in a simplified form. An example is given illustrated the proposed technique by a specific linear control system of differential equations.

Keywords: control, incomplete information, linear systems.

UDC: 517.977

MSC: 34H05,34K35

Received December 11, 2017, published April 10, 2018

DOI: 10.17377/semi.2018.15.034

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