Title :
An example of a GAS system which can be destabilized by an integrable perturbation
Author :
Sontag, Eduardo D. ; Krichman, Mikhail
Author_Institution :
Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
fDate :
6/1/2003 12:00:00 AM
Abstract :
A construction of a globally asymptotically stable time-invariant system which can be destabilized by some integrable perturbation is given. Besides its intrinsic interest, this serves to provide counterexamples to an open question regarding Lyapunov functions.
Keywords :
Lyapunov methods; asymptotic stability; observers; GAS System; Lyapunov functions; asymptotic stability; globally asymptotically stable; integrable perturbation; time-invariant system; Asymptotic stability; Control systems; Lyapunov method; Mathematics; Output feedback; State feedback; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2003.812801
