This article investigates stochastic differential games involving multiple attackers, defenders, and a single target, with their interactions defined by a distributed topology. By leveraging principles of topological graph theory, a distributed design strategy is developed that operates without requiring global information, thereby minimizing system coupling. Additionally, this study extends the analysis to incorporate stochastic elements into the target–attackers–defenders games, moving beyond the scope of deterministic differential games. Using the direct method of completing the square and the Radon–Nikodym derivative, we derive optimal distributed control strategies for two scenarios: one where the target follows a predefined trajectory and another where it has free maneuverability. In both scenarios, our research demonstrates the effectiveness of the designed control strategies in driving the system toward a Nash equilibrium. Notably, our algorithm eliminates the need to solve the coupled Hamilton–Jacobi equation, significantly reducing computational complexity. To validate the effectiveness of the proposed control strategies, numerical simulations are presented in this article.

This paper presents a novel approach to address the problem of intercepting non-cooperative targets with multiple satellites in Earth orbit. The multi-satellite interception problem is formulated as a multi-player pursuit–evasion game that explicitly accounts for stochastic disturbances and control constraints. By combining differential game theory with stochastic optimization techniques, the paper derives optimal interception trajectories that ensure safety and performance under modeling uncertainties. A linear exponential quadratic cost functional is established, and corresponding Nash equilibrium strategies are obtained to determine the optimal control laws. Numerical simulations validate the effectiveness and robustness of the proposed approach in achieving reliable interception performance.

This letter presents a multi-stage solution to the calibration-target-assisted multistatic localization problem based on time delay (TD) measurements, in the presence of unknown receiver clock drifts and offsets caused by clock imperfections. In the first stage, the common clock offset is mitigated by differencing the direct and indirect-path TD measurements from the calibration target, providing a weighted least squares (WLS) estimate of the clock drift. In the second stage, the previously obtained drift estimate is used along with the direct-path measurements to produce the closed-form estimate of the transformed clock offset. In the third stage, localization is achieved by solving a constrained WLS problem constructed using these estimates together with the indirect-path TD measurements related to the unknown target. Simulations confirm that, in the small-noise/large-receiver regime, the resulting target position estimate approaches the Cramèr–Rao lower bound (CRLB) corresponding to the joint estimator that utilizes the complete measurement set.