@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}, pages = {57--85}, publisher = {EDP-Sciences}, volume = {2}, year = {1997}, mrnumber = {1445384}, zbl = {0871.93047}, language = {en}, url = {http://archive.numdam.org/item/COCV_1997__2__57_0/} }

TY - JOUR AU - Tsinias, J. TI - Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 1997 SP - 57 EP - 85 VL - 2 PB - EDP-Sciences UR - http://archive.numdam.org/item/COCV_1997__2__57_0/ LA - en ID - COCV_1997__2__57_0 ER -

%0 Journal Article %A Tsinias, J. %T Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation %J ESAIM: Control, Optimisation and Calculus of Variations %D 1997 %P 57-85 %V 2 %I EDP-Sciences %U http://archive.numdam.org/item/COCV_1997__2__57_0/ %G en %F 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://archive.numdam.org/item/COCV_1997__2__57_0/

[1] Semiglobal stabilization of multi-input linear systems with saturated linear state feedback, Systems and Control Lett., 23, 1994, 247-254. | MR | Zbl

, and :[2] Global stability and external stability of dynamical systems, to appear. | Zbl

, and :[3] Asymptotic stabilization of minimum phase nonlinear systems, IEEE Trans. on Aut. Control, 36, 1991, 1122-1137. | MR | Zbl

and :[4] 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

, and :[5] Inverse optimality in robust stabilization, SIAM J. Contr. and Opt., 34, 4, 1996, 1365-1391. | MR | Zbl

and :[6] Nonlinear Control Systems, Springer-Verlag, 1995. | MR | Zbl

:[7] Constructive Lyapunov stabilization of nonlinear systems, IEEE Tr. Aut. Control, 41, 1996, 1723-1735. | MR | Zbl

, and :[8] Small-gain theorem for ISS systems and applications, Mathematics of Control, Signals and Systems 7, 1994, 95-120. | MR | Zbl

, and :[9] 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 | Zbl

and :[10] On finite gain stabilizability of linear systems subject to input saturation, SIAM J. Contr. and Opt., 34, 1996, 1190-1219. | MR | Zbl

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

and :[12] A smooth converse Lyapunov theorem for robust stability, SIAM J. Control and Opt, 34, 1996, 124-160. | MR | Zbl

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

and :[14] Control of linear systems with saturating actuators, IEEE Trans. on Aut. Control, 41, 1996, 368-378. | MR | Zbl

, and :[15] Smooth stabilization implies coprime factorization, IEEE Tr. Aut. Control, 34, 1989, 435-443. | MR | Zbl

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

:[17] Nonlinear output feedback design for linear systems with saturating controls, Proc. 29th IEEE Conf. Dec. Control, 1990, 3414-3416.

and :[18] On characterizations of the input-to-state stability property, Systems and Control Lett., 24, 1995, 351-359. | MR | Zbl

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

and :[20] New characterizations of input-to-state stability, IEEE Trans. on Aut. Control, 41, 1996, 1283-1294. | MR | Zbl

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

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

and :[23] A general result on the stabilization of linear systems using bounded controls, IEEE Tr. on Aut. Control, 39, 12, 2411-2425. | MR | Zbl

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

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

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

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

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

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

:[30] 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 | Zbl

:[31] 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 | Zbl

:[32] 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 | Zbl

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

: