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A class of nonlinear multistep control and observation problems. II. (English. Russian original) Zbl 0581.90110

Eng. Cybern. 21, No. 3, 8-13 (1983); translation from Izv. Akad. Nauk SSSR, Tekh. Kibern. 1983, No. 3, 11-16 (1983).
[For part I see Eng. Cybern. 20, No.4, 17-23 (1982; Zbl 0528.90100.] - We consider a conflict controlled system consisting of two objects whose dynamics are described by nonlinear difference equations. The first player, who controls the motion of the first object, can measure its phase vector and a signal formed in accordance with a nonlinear difference equation that depends on the phase states of the objects and the noise. The second player, who controls the motion of the second object, is completely informed and is interested in worsening the observation process. The game problem of position control of the observation is formulated and solved in which the quality of the observation is estimated by the value of the Chebyshev radius of the section of the informational set at the end of the last step.

MSC:

91A24 Positional games (pursuit and evasion, etc.)
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
39A10 Additive difference equations
93C10 Nonlinear systems in control theory
91A05 2-person games
93C55 Discrete-time control/observation systems

Citations:

Zbl 0528.90100
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