Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation
ESAIM: Control, Optimisation and Calculus of Variations, Volume 2  (1997), p. 57-85
@article{COCV_1997__2__57_0,
     author = {Tsinias, J.},
     title = {Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     publisher = {EDP-Sciences},
     volume = {2},
     year = {1997},
     pages = {57-85},
     zbl = {0871.93047},
     mrnumber = {1445384},
     language = {en},
     url = {http://www.numdam.org/item/COCV_1997__2__57_0}
}
Tsinias, J. Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation. ESAIM: Control, Optimisation and Calculus of Variations, Volume 2 (1997) , pp. 57-85. http://www.numdam.org/item/COCV_1997__2__57_0/

[1] J. Alvarez-Ramirez, R. Suarez and J. Alvarez: Semiglobal stabilization of multi-input linear systems with saturated linear state feedback, Systems and Control Lett., 23, 1994, 247-254. | MR 1298170 | Zbl 0815.93066

[2] V. Andriano, A. Bacciotti and G. Beccari: Global stability and external stability of dynamical systems, to appear. | Zbl 0877.34041

[3] C.I. Byrnes and A. Isidori: Asymptotic stabilization of minimum phase nonlinear systems, IEEE Trans. on Aut. Control, 36, 1991, 1122-1137. | MR 1125894 | Zbl 0758.93060

[4] J.M. Coron, L. Praly and A. Teel: Feedback stabilization of nonlinear systems: sufficient conditions and Lyapunov and input-output techniques, in Trends in Control, A. Isidori ed., Springer-Verlag, 1995, 293-347. | MR 1448452

[5] R.A. Freeman and P.V. Kokotovic: Inverse optimality in robust stabilization, SIAM J. Contr. and Opt., 34, 4, 1996, 1365-1391. | MR 1395839 | Zbl 0863.93075

[6] A. Isidori: Nonlinear Control Systems, Springer-Verlag, 1995. | MR 1410988 | Zbl 0569.93034

[7] M. Jankovic, R. Sepulchre and D.V. Kokotovic: Constructive Lyapunov stabilization of nonlinear systems, IEEE Tr. Aut. Control, 41, 1996, 1723-1735. | MR 1421408 | Zbl 0869.93039

[8] Z.P. Jiang, A. Teel and L. Praly: Small-gain theorem for ISS systems and applications, Mathematics of Control, Signals and Systems 7, 1994, 95-120. | MR 1359023 | Zbl 0836.93054

[9] Z. Lin and A. Saberi: A semi-global law-and-high gain design technique for linear systems subject to input saturation-stabilization and disturbance rejection, Int. Robust and Nonlinear Control, 5, 1995, 381-398. | MR 1346406 | Zbl 0833.93046

[10] W. Liu, Y. Chitour and E.D. Sontag: On finite gain stabilizability of linear systems subject to input saturation, SIAM J. Contr. and Opt., 34, 1996, 1190-1219. | MR 1395830 | Zbl 0855.93077

[11] Z. Lin and A. Saberi: Semi-global exponential stabilization of linear systems subject to input saturation via linear feedback, Systems and Control Lett., 21, 1993, 225-239. | MR 1235335 | Zbl 0788.93075

[12] Y. Lin, E.D. Sontag and Y. Wang: A smooth converse Lyapunov theorem for robust stability, SIAM J. Control and Opt, 34, 1996, 124-160. | MR 1372908 | Zbl 0856.93070

[13] F. Mazenc and L. Praly: Adding integrations, saturated controls and global stabilization for feedforward systems, IEEE Tr. on Aut. Control, 41, 1559-1578. | MR 1419682 | Zbl 0865.93049

[14] A. Saberi, Z. Lin and A.T. Teel: Control of linear systems with saturating actuators, IEEE Trans. on Aut. Control, 41, 1996, 368-378. | MR 1382986 | Zbl 0853.93046

[15] E.D. Sontag: Smooth stabilization implies coprime factorization, IEEE Tr. Aut. Control, 34, 1989, 435-443. | MR 987806 | Zbl 0682.93045

[16] E.D. Sontag: Further facts about input to state stabilization, IEEE Trans. on Aut. Control, 35, 4, 1990, 473-476. | MR 1048003 | Zbl 0704.93056

[17] E.D. Sontag and H.J. Sussmann: Nonlinear output feedback design for linear systems with saturating controls, Proc. 29th IEEE Conf. Dec. Control, 1990, 3414-3416.

[18] E.D. Sontag and Y. Wang: On characterizations of the input-to-state stability property, Systems and Control Lett., 24, 1995, 351-359. | MR 1325675 | Zbl 0877.93121

[19] E.D. Sontag and Y. Wang: Characterizations of input-to-state stability with respect to compact sets, NOLCOS 95, Proceedings, 226-231.

[20] E.D. Sontag and Y. Wang: New characterizations of input-to-state stability, IEEE Trans. on Aut. Control, 41, 1996, 1283-1294. | MR 1409473 | Zbl 0862.93051

[21] R. Suarez, J. Solis and J. Alvarez: Stabilization of linear controllable systems by means of bounded continuous nonlinear feedback control, Systems Control Lett., 23, 1994, 403-419. | MR 1304471 | Zbl 0866.93088

[22] H.J. Sussmann and Y. Yang: On the stabilizability of multiple integrators by means of bounded feedback controls, Proc. 30th IEEE Conf. Dec. Control, 1991, 70-73.

[23] H.J. Sussmann, E.D. Sontag and Y. Yang: A general result on the stabilization of linear systems using bounded controls, IEEE Tr. on Aut. Control, 39, 12, 2411-2425. | MR 1337566 | Zbl 0811.93046

[24] A.R. Teel: Global stabilization and restricted tracking for multiple integrators with bounded controls, Systems and Control Lett., 18, 1992, 165-171. | MR 1153225 | Zbl 0752.93053

[25] A.R. Teel: Using saturation to stabilize a class of single-input partially linear composite systems, Proc. IFAC NOLCOS 92, 224-229.

[26] A.R. Teel: Examples of stabilization using saturation: an input-output approach, Proc. IFAC NOLCOS 95, 232-237.

[27] A.R. Teel and L. Praly: Tools for semi-global stabilization by partial state and output feedback, SIAM J. of Contr. and Opt. 23, 1995, 1443-1488. | Zbl 0843.93057

[28] A.R. Teel: A nonlinear small gain theorem for the analysis of control systems with saturation, IEEE Trans. on Aut. Control, 41, 1996, 1256-1270. | MR 1409471 | Zbl 0863.93073

[29] J. Tsinias: Sufficient Lyapunov-like conditions for stabilization, Math. Control Signals Systems, 2, 1989, 343-357. | MR 1015672 | Zbl 0688.93048

[30] J. Tsinias: Versions of Sontag's input to state stability condition and the global stabilizability problem, SIAM J. Contr. and Opt. 31, 4, 1993, 928-941. | MR 1227539 | Zbl 0788.93076

[31] J. Tsinias: Versions of Sontag's input to state stability condition and output feedback stabilization, J. Math. Systems Estimation and Control, 6, 1, 1996, 113-116. | MR 1646269 | Zbl 0844.93068

[32] J. Tsinias: Control Lyapunov functions, input-to-state stability and applications to global feedback stabilization for composite systems, to appear in J. Math. Sys. Est. and Control, 7, 2, 1997. | MR 1647894 | Zbl 0898.93025

[33] J. Tsinias: Output feedback global stabilization for triangular systems, Proc. IFAC NOLCOS 95, 238-243.