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A structure-invariant operator for solving problems of stabilization of program motions of a complex dynamic system with restrictions

Abstract

A structure-invariant operator for solving problems of stabilization of program motions of a complex dynamic system with restrictions

Efremov A.A.

Incoming article date: 16.07.2024

A complex dynamic system is defined by a structurally invariant operator. The operator structure allows formulating problems of stabilizing program motions or equilibrium positions of a complex dynamic system with constraints on state coordinates and control. The solution of these problems allows synthesizing a structurally invariant operator of a complex dynamic system with inequality-constraints on the vector of locally admissible controls and state coordinates. Computational experiments confirming the correctness of the synthesized structurally invariant projection operator are performed.

Keywords: structurally-invariant operator, stabilization of program motions, complex nonlinear dynamic system, projection operator, SimInTech