Pursuit-evasion differential games with uncertainties in dynamics
The authors consider pursuit-evasion control problems with bounded uncertainties in dynamics. They define notions of guaranteed results (``values'') in these problems with integral cost functionals. The corresponding Isaacs equations are presented. Smooth V-functions with special properties are introduced. They are utilized to determine stragegies assuring the capture for any realization of uncertainties with the help of construction like the well-known Lyapunov method. As an illustrative example a problem of the capture for an oscillator type linear control system is considered.
scientific article; zbMATH DE number 4029321
scientific article