Dynamic analysis of space robot remote control system

Almost Periodic Solutions of First-Order Ordinary Differential Equations

“…It follows from the estimates obtained above that all the right derived numbers of a function s for any finite p are nonnegative, and the function s itself does not have jumps down, since ψ + increases, and r 1 is continuous. Hence, taking into account the Theorem 9 proposition in [33], it can be concluded that for each finite p the function s increases with respect to x. So that, s(ω n+p , x) has a derivative almost everywhere in [l 2 , l 3 ].…”

“…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.…”

A New Method for a Remote Control of a Robotic Manipulator

“…The above statement is based on the following consideration. For each type of operation on interaction of the working tool (fight) with a subject of the environment there is a certain invariant-the passport of its performance [2][3][4][5][6]. It includes the trajectory of changes in time position relative to the grip of the so-called characteristic points belonging to the objects of the environment.…”

“…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

“…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.…”