Title :
Stability analysis of systems with partial state saturation nonlinearities
Author :
Liu, Derong ; Michel, Anthony N.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Stevens Inst. of Technol., Hoboken, NJ, USA
fDate :
3/1/1996 12:00:00 AM
Abstract :
Sufficient conditions for the global asymptotic stability of the equilibrium xe=0 of discrete-time dynamical systems which have saturation nonlinearities on part of the states are established. We utilize a class of positive definite and radially unbounded Lyapunov functions in establishing our results. When using quadratic form Lyapunov functions, our results involve necessary and sufficient conditions under which positive definite matrices can be used to generate Lyapunov functions for the systems considered herein
Keywords :
Lyapunov methods; asymptotic stability; discrete time systems; discrete-time dynamical systems; global asymptotic stability; partial state saturation nonlinearities; positive definite Lyapunov functions; quadratic form Lyapunov functions; radially unbounded Lyapunov functions; stability analysis; Actuators; Asymptotic stability; Digital filters; Lyapunov method; Mechanical systems; Nonlinear equations; Power engineering and energy; Power supplies; Stability analysis; Sufficient conditions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
