Sib. Èlektron. Mat. Izv., 2018, Volume 15, Pages 373–388
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
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.
control, incomplete information, linear systems.
|Russian Science Foundation
|The work is supported by Russian Science Foundation (project no. 14-11-00539).
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Received December 11, 2017, published April 10, 2018
P. G. Surkov, “The problem of package guidance under incomplete information and integral signal of observation”, Sib. Èlektron. Mat. Izv., 15 (2018), 373–388
Citation in format AMSBIB
\paper The problem of package guidance under incomplete information and integral signal of observation
\jour Sib. \`Elektron. Mat. Izv.
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