Aerospace Instrument-Making Annotation << Back Algorithm for Correcting a Navigation Complex Based on a Differential Game Approach Afanasyev V.N., Kupriyanov A.O., Neusypin K.A. The problem of differential stabilization game with zero sum and quadratic quality functional is considered. The navigation complex of the aircraft, including the platform inertial navigation system with correction in the structure using the control algorithm, is investigated. The errors of the navigation system, exposed to uncontrolled disturbances, are described by a nonlinear ordinary differential equation. It is known that the synthesis of optimal controls with feedback leads to the need to solve the scalar differential equation in partial derivatives of Bellman-Isaacs at the rate of the system functioning. To solve this equation, the paper proposes a method for equivalent transformation of the original nonlinear equation of the object into a model with a linear structure, but with state-dependent parameters. This allows you to rewrite the Bellman equation into the Riccati equation with state-dependent parameters. An algorithm for solving this equation is proposed. The performance of the developed algorithm is verified using a fl ight experiment. Keywords: navigation complex, correction, differential games, SDC linearization, Bellman equation, Riccati equation. DOI: 10.25791/aviakosmos.9.2025.1506 Pp. 37-45.