Practical stability of dynamical systems dependent on a parameter

Autor:	F. G. Garashchenko, L. A. Pantalienko
Rok vydání:	1992
Předmět:	Statistics and Probability Dynamical systems theory Sensitivity equation Control theory Applied Mathematics General Mathematics System parameters Trajectory Stability (learning theory) Sensitivity (control systems) Limiting Inverse problem Mathematics
Zdroj:	Journal of Soviet Mathematics. 58:95-99
ISSN:	1573-8795 0090-4104
DOI:	10.1007/bf01099409
Popis:	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.
Databáze:	OpenAIRE
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