Examples of GES systems that can be driven to infinity by arbitrarily small additive decaying exponentials

IEEE Transactions on Automatic Control

Volumn 49, Issue 8, 2004, Pages 1407-1410

  Teel, A R ^a   Hespanha, J ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DISCRETE TIME CONTROL SYSTEMS; INVARIANCE; LYAPUNOV METHODS; THEOREM PROVING;

CONTINUOUS TIME SYSTEMS; EXPONENTIAL STABILITY; GLOBALLY EXPONENTIALLY STABLE SYSTEMS; HYBRID SYSTEMS; TIME INVARIANT SYSTEMS;

NONLINEAR SYSTEMS;

EID: 4344706142     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.832861     Document Type: Article

References (8)

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5. L. Praly and M. Arcak, "On certainty-equivalence design of nonlinear observer-based controllers," presented at the 41st IEEE Conf. Decision and Control, Las Vegas, NV, Dec. 2002.
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7. E. D. Sontag and M. Krichman, "An example of a GAS system which can be destabilized by an integrable perturbation," IEEE Trans. Automat. Contr., vol. 48, pp. 1046-1049, June 2003.
8. H. J. Sussmann and P. V. Kokotovic, "The peaking phenomenon and the global stabilization of nonlinear systems," IEEE Trans. Automat. Contr., vol. 36, pp. 424-440, Apr. 1991.