Title :
Lyapunov functions for stable cascades and applications to global stabilization
Author :
Mazenc, F. ; Sepulchre, R. ; Jankovic, M.
Author_Institution :
Centre for Process Syst. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK
fDate :
9/1/1999 12:00:00 AM
Abstract :
Generalizes Lyapunov constructions for a cascade of two nonlinear systems, one of which is stable rather than asymptotically stable. A new cross-term construction in the Lyapunov function allows us to replace earlier growth conditions by a necessary boundedness condition. This method is instrumental in the global stabilization of feedforward systems, and new stabilization results are derived from the generalized construction
Keywords :
Lyapunov methods; asymptotic stability; cascade systems; feedforward; nonlinear control systems; Lyapunov functions; cross-term construction; feedforward systems; global stabilization; necessary boundedness condition; stable cascades; Asymptotic stability; Control systems; Feedforward systems; Instruments; Jacobian matrices; Linear feedback control systems; Linear systems; Lyapunov method; Nonlinear systems; Systems engineering and theory;
Journal_Title :
Automatic Control, IEEE Transactions on
