On characterizations of the input-to-state stability property

作者: Eduardo D. Sontag , Yuan Wang

DOI: 10.1016/0167-6911(94)00050-6

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摘要: We show that the well-known Lyapunov sufficient condition for “input-to-state stability” (ISS) is also necessary, settling positively an open question raised by several authors during the …

参考文章(8)
E.D. Sontag, Some connections between stabilization and factorization conference on decision and control. pp. 990- 995 ,(1989) , 10.1109/CDC.1989.70273
E.D. Sontag, Smooth stabilization implies coprime factorization IEEE Transactions on Automatic Control. ,vol. 34, pp. 435- 443 ,(1989) , 10.1109/9.28018
L. Praly, Z.-P. Jiang, Stabilization by output feedback for systems with ISS inverse dynamics Systems & Control Letters. ,vol. 21, pp. 19- 33 ,(1993) , 10.1016/0167-6911(93)90040-D
Z. -P. Jiang, A. R. Teel, L. Praly, Small-gain theorem for ISS systems and applications Mathematics of Control, Signals, and Systems. ,vol. 7, pp. 95- 120 ,(1994) , 10.1007/BF01211469
E.D. Sontag, Further facts about input to state stabilization IEEE Transactions on Automatic Control. ,vol. 35, pp. 473- 476 ,(1990) , 10.1109/9.52307
Yuandan Lin, Eduardo D. Sontag, Yuan Wang, A Smooth Converse Lyapunov Theorem for Robust Stability Siam Journal on Control and Optimization. ,vol. 34, pp. 124- 160 ,(1996) , 10.1137/S0363012993259981
John Tsinias, Versions of Sontag's “Input to state stability condition” and the global stabilizability problem Siam Journal on Control and Optimization. ,vol. 31, pp. 928- 941 ,(1993) , 10.1137/0331040