Stability criterion of angle tracking systems in real time under conditions of interference distorting direction finding characteristic

The article considers stability of the automatic angle tracking systems under conditions of interference distorting direction finding characteristic. The automatic angle tracking is described in the system state. Since the estimation of the modulus of continuity in the theorem on continuous dependence of the characteristic roots on matrix elements accepts very significant roots change under small matrix perturbations of the such that these perturbations cannot be simulated by computer, hence, the stability criteria based on characteristic roots location analysis are not always convenient for practical applications. In this article a stability criterion is proposed which is determined by solving the differential equation system of the system. A computational procedure is obtained which allows us to determine the stability of automatic control system in real time. The solution is not sensitive to significant changes in the characteristic roots under small matrix perturbations of the system. Well-timed detection of the forthcoming loss of the automatic target tracking provides an opportunity to protect the system in automatic mode and therefore minimize jamming effects.