The theory of stability of an orbiting observatory with gyroscopic stabilization of motion
Copyright policy )The theory of stability of an orbiting observatory with gyroscopic stabilization of motion
Here, new stability conditions are established for a spacecraft which is oriented with respect to the inertial space by a control system with three gyroscopic frames. The conditions of asymptotic stability are obtained by the method of matrix Lyapunov functions [\textit{A. A. Martynyuk}, Stability by Lyapunov's matrix function method with applications, New York: Marcel Dekker, Inc. (1998; Zbl 0907.34034)]. These conditions are free from some restrictions which are necessary for stability investigation by vector Lyapunov functions.
Asymptotic stability in control theory, asymptotic stability, Stability for nonlinear problems in mechanics, Lyapunov and storage functions, spacecraft, Qualitative investigation and simulation of ordinary differential equation models, Orbital mechanics, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, matrix Lyapunov function
Asymptotic stability in control theory, asymptotic stability, Stability for nonlinear problems in mechanics, Lyapunov and storage functions, spacecraft, Qualitative investigation and simulation of ordinary differential equation models, Orbital mechanics, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Stability of solutions to ordinary differential equations, matrix Lyapunov function
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