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Aeyels, Dirk ; Sepulchre, R.
On the convergence of a time-variant linear differential equation arising in identification. (English). Kybernetika, vol. 30 (1994), issue 6, pp. 715-723
MSC: 34D99, 34H05, 93B30, 93C99, 93D05, 93D20 | MR 1323672 | Zbl 0832.93051
References:
[1] D. Aeyels: Stability of nonautonomous systems by Liapunov's direct method. In: the Proceedings of the Workshop Geometry in Nonlinear Control, Banach Center Publications, June 1993, to appear.
[2] B. D. O. Anderson: Exponential Stability of linear equations arising in adaptive identification. IEEE Trans. Automat. Control 22 (1977), 84-88. MR 0446667 | Zbl 0346.93014
[3] H. K. Khalil: Nonlinear Systems. McMillan Publishing Company, New York 1992. MR 1201326 | Zbl 0969.34001
[4] T. Kohonen: Self-organization and associative memory. (Springer Ser. Inform. Sci. 8.) Springer-Verlag, Berlin 1988. MR 0930103 | Zbl 0659.68100
[5] G. Kreisselmeier: Adaptive observers with exponential rate of convergence. IEEE Trans. Automat. Control 22 (1977), 1, 2-8. MR 0444142 | Zbl 0346.93043
[6] K. S. Narendra, A. M. Annaswamy: Persistent excitation in adaptive systems. Internat. J. Control 45 (1987), 1, 127-160. MR 0872979 | Zbl 0627.93041
[7] N. Rouche P. Habets, M. Laloy: Stability Theory by Liapunov's Direct Method. Springer-Verlag, New York 1977. MR 0450715
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