| Abstract: | We consider the problem of ensuring stability of a system under changes in its parameters, which requires algorithms for estimating the deviation of the actual trajectory due to parameter perturbations. The inverse problem is also considered: for given constraints on the admissible deviation of the trajectory or on the performance criterion, determine the tolerances of the system parameters. These problems are solved by practical stability methods. Theorems and algorithms developed in this paper are applied to solve both direct and inverse problems of sensitivity theory. The stability criteria for the sensitivity equations are applied to determine the relationship between initial conditions and parameters in terms of limiting dynamic constraints on the sensitivity functions.Translated from Vychislitel'naya i Prikladnaya Matematika, No. 55, pp. 119–125, 1985. |
