Development and analysis of algorithms for computing optimal disturbances for delay systems
Abstract:
New fast algorithms for computing the maximum amplification of solution norms and optimal disturbances are proposed and justified for delay systems. The proposed algorithms were tested on a system of four nonlinear differential equations with time delay, which is a model of experimental infection caused by lymphocytic choriomeningitis virus. Results of numerical experiments are presented and discussed.
Keywords:
optimal disturbances, delay-differential equations, maximum amplification, Lanczos method, alternating maximization
Publication language:russian, pages:26
Research direction:
Mathematical modelling in actual problems of science and technics
