A new asymptotic stability criterion for nonlinear time-variant differential equations

IEEE Transactions on Automatic Control

Volumn 43, Issue 7, 1998, Pages 968-971

  Aeyels, Dirk ^a   Peuteman, Joan ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Liapunov; Nonlinear dynamics; Time varying systems

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICS; FUNCTIONS; LYAPUNOV METHODS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; THEOREM PROVING; TIME VARYING SYSTEMS;

BELLMAN-GRONWALL LEMMA; DISCRETE TIME NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS;

ASYMPTOTIC STABILITY;

EID: 0032122952     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.701102     Document Type: Article

References (4)

1. D. Aeyels, "Asymptotic stability of nonautonomous systems by Liapunov's direct method," Syst. Contr. Lett., vol. 25, pp. 273-280, 1995.
2. D. Aeyels and R. Sepulchre, "On the convergence of a time-variant linear differential equation arising in identification," Kybernetika, vol. 30, pp. 715-723, 1994.
3. H. K. Khalil, Nonlinear Systems. Englewood Cliffs, NJ: Prentice Hall, 1996, pp. 345-346.
4. K. S. Narendra and A. M. Annaswamy, "Persistent excitation in adaptive systems," Int. J. Contr., vol. 45, pp. 127-160, 1987.