Title :
Teaching time-varying stability theory using autonomous partial stability theory
Author :
Chellaboina, VijaySekhar ; Haddad, Wassim M.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Missouri Univ., Columbia, MO, USA
Abstract :
We present partial stability results; that is, stability with respect to part of the system´s state, for nonlinear dynamical systems. Using these results we provide a rigorous unification between partial stability theory for autonomous systems and stability theory for nonlinear time-varying systems. This unification allows for time-varying stability theory to be presented as a special case of autonomous partial stability theory in a first course on nonlinear systems
Keywords :
control engineering education; nonlinear control systems; nonlinear dynamical systems; stability; time-varying systems; autonomous partial stability theory; autonomous systems; nonlinear dynamical systems; nonlinear time-varying systems; rigorous unification; time-varying stability theory; Aerospace engineering; Asymptotic stability; Control systems; Education; Gyroscopes; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Space vehicles; Time varying systems;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.980317
