Title :
Quadratic boundedness of nonlinear dynamical systems
Author :
Brockman, Mark L. ; Corless, Martin
Author_Institution :
Sch. of Aeronaut. & Astronaut., Purdue Univ., West Lafayette, IN, USA
Abstract :
The concept of quadratic boundedness for an uncertain nonlinear dynamical system is defined and a sufficient condition for quadratic boundedness of a class of nonlinear systems which have an uncertain additive bounded disturbance input is then given. A relationship between quadratic boundedness of an uncertain system and quadratic stability of the system without disturbance is also developed. The results are applied to the rotational motion of a spacecraft subject to bounded disturbance torques
Keywords :
nonlinear dynamical systems; stability; bounded disturbance torques; quadratic boundedness; quadratic stability; rotational motion; spacecraft; uncertain additive bounded disturbance input; uncertain nonlinear dynamical system; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Space vehicles; Stability; Sufficient conditions; Symmetric matrices; Uncertain systems; Uncertainty; Upper bound;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478941
