Study on the structure of limit invariant sets of stationary control systems with nonlinearity of hysteresis type

A New Method for a Remote Control of a Robotic Manipulator

“…The scalar matrix c→∞ is used as the proportionality matrix. The validity of the described substitution is shown in [15].…”

“…As for the dynamic analysis [3] of the functioning of a bilaterally controlled model of a space robot from the control arm, it has already been carried out [4] and its results, including the conditions for achieving stability of the control, are given in [8][9][10][15][16][17][18]. This article presents a dynamic analysis of the process of functioning of the local control system of the space robot while tracking the program trajectories formed in the process of training at the ground control center.…”

A New Method to Study the Periodic Solutions of the Ordinary Differential Equations Using Functional Analysis

“…From this inequality and continuity of the function f (t, x) it follows that in (8) there is a sign of strict inequality, and this contradicts the assumption that the solutions y 1 (t) and y 2 (t) are ω-periodic.…”

“…Periodic solutions take an important part in the qualitative theory of differential equations and in applied problems [3]. The analysis problems for periodic solutions of differential equations arise in classical mechanics, celestial mechanics [4][5][6][7][8][9][10][11][12][13][14][15], space robotics [16][17][18][19][20][21][22][23][24], in modeling of economic processes [25][26][27][28][29]. However, there is no general approach to study periodic solutions of differential equations.…”

Almost Periodic Solutions of First-Order Ordinary Differential Equations

“…Over the last years, the question of studying almost periodic functions in robotics [15][16][17][18][19][20][21], dynamic systems [22][23][24][25][26], stability theory [27][28][29][30][31], control systems for space objects [32][33][34], and economy problems [35][36][37][38] arose significantly.…”