Abstract:
We consider the controlled dynamics of three objects in $n$-dimensional space: Attacker (A), Defender (D), and Target (T). Attacker estimates Target’s relative position using a Kalman-Bucy filter and constructs a collision trajectory based on this estimate. In response, the Target deploys the Defender, which disrupts the Attacker’s estimation process by interfering with its reception channel, thereby preventing interception. This leads to the formulation of a problem: designing an optimal trajectory for the Defender to maximize the time until the Attacker intercepts the Target. Numerical simulations of the dynamics of each object are conducted to evaluate the effectiveness of deploying the Defender.
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