Control of unstable and determined chaotic modes of the ob ject with m inputs and with n outputs

Abstract

: The paper proposes a method for constructing control systems for deterministic chaotic regimes of nonlinear objects in the class of catastrophes, a hyperbolic ombric from a catastrophe theory for a system with m input and n output. It is shown that the increase in the robust stability potential is the main protection factor guaranteeing the system from the regime of deterministic chaos with the generation of "strange attractors". Investigations of the control system with a high potential for robust stability are made by the gradient-velocity method of the Lyapunov function vector. Abstract: The computational (numerical) diameter is used to completely solve the problem of approximate differentiation of a function given inexact information in the form of an arbitrary finite set of trigonometric Fourier coefficients. [100-200 words]