Title of article :
SOME APPROACHES TO A QUANTITATIVE MEASURE OF THE STABILITY OF DYNAMICAL SYSTEMS
Author/Authors :
Kutsenko, A.S. Department of System Analysis and Information and Analytical Technologies - National Technical University "Kharkiv Polytechnic Institute", Ukraine, Kharkiv , Kovalenko, S.V. Department of System Analysis and Information and Analytical Technologies - National Technical University "Kharkiv Polytechnic Institute", Ukraine, Kharkiv
Abstract :
The article analyses the state of the problem of the quantitative measure of the
stability of dynamic systems. Two approaches to solve this problem are proposed. The first
approach is based on the study of the deformation process of an arbitrary region of the phase
space on the solutions of systems of differential equations. The second method is based on
a multiple assessment of the integral quadratic functionals of the trajectories of a stable
dynamical system
Keywords :
dynamic system , stability , technical stability , integral quadratic functional , Lyapunov matrix equation
Journal title :
Eurasian Journal of Mathematical and Computer Applications
