Stability and stabilization: discontinuities and the effect of disturbances, in “Nonlinear analysis, differential equations and control

Stability and stabilization: discontinuities and the effect of disturbances, in “Nonlinear analysis, differential equations and control (1998)

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by Eduardo D. Sontag

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@MISC{Sontag98stabilityand,
    author = {Eduardo D. Sontag},
    title = {Stability and stabilization: discontinuities and the effect of disturbances, in “Nonlinear analysis, differential equations and control},
    year = {1998}
}

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383	Nonlinear and Adaptive Control Design - Krstic, Kanellakopoulos, et al. - 1995
301	Smooth stabilization implies coprime factorization - Sontag - 1989
284	Mathematical Control Theory, Deterministic Finite Dimensional Systems, 2nd Edition - Sontag - 1988
270	Differential Equations with Discontinuous Right Handsides - Filippov - 1988
137	On characterizations of the input-to-state stability property - Sontag, Wang - 1995
134	Small-gain theorem for ISS systems and applications - Jiang, Teel, et al. - 1994
132	A smooth converse Lyapunov theorem for robust stability - Lin, Sontag, et al.
120	Nonsmooth Analysis and Control Theory - Ledyaev, Stern, et al. - 1998
99	Asymptotic stability and feedback stabilization. In: Differential Geometric Control Theory - Brockett - 1983
78	A Lyapunov-like characterization of asymptotic controllability - Sontag - 1983
68	Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability - Praly, Wang - 1996
62	Global asymptotic stabilization for controllable systems without drift - Coron - 1991
57	Nonlinear Control Systems 3rd ed - Isidori - 1995
56	Output-to-state stability and detectability of nonlinear systems - Sontag, Wang - 1997
51	Comments on integral variants of ISS - Sontag
50	A notion of input to output stability - Sontag, Wang - 1997
48	Stabilization with relaxed controls. Nonlinear Analysis 7 - Artstein - 1983
46	Changing supply functions in input/state stable systems - Sontag, Teel
41	A characterization of integral input to state stability,” submitted. (Summary as “Remarks on integral input to state stability - Angeli, Sontag, et al. - 1998
35	Nonlinear Control Systems, Third Edition - Isidori - 1995
34	Asymptotic stability and feedback stabilization," in Di#erential Geometric Control Theory - Brockett - 1983
30	Global almost disturbance decoupling with stability for non minimum-phase single-input single-output nonlinear systems - Isidori - 1996
30	Sussmann: Non smooth control Lyapunov functions - Sontag, J - 1995
30	New characterizations of the input to state stability property - Sontag, Wang - 1996
29	Singular perturbations and input-to-state stability - Christofides, Teel
29	Stabilization of Uncertain Nonlinear Systems - Krstić, Deng - 1998
28	Comments on integral variants - Sontag
27	A relation between continuous time-varying and discontinuous feedback stabilization - Coron, Rosier - 1994
26	Remarks on continuous feedback, in - Sontag, Sussmann - 1980
24	Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation - Tsinias
23	Subbotin: Asymptotic controllability implies feedback stabilization - Ledyaev, I - 1997
22	On Brockett’s condition for smooth stabilizability and its necessity in a context of nonsmooth feedback - Ryan
21	A state-space approach to parameterization of stabilizing controllers for nonlinear systems - Lu - 1995
18	A class of globally stabilizing controllers for nonlinear systems - Lu - 1995
17	On state observers for nonlinear systems - Hu - 1991
17	Mechanisms for the stability and instability in feedback systems - Willems
16	A remark on robust stabilization of general asymptotically controllable systems - Ledyaev, Sontag - 1997
15	Stabilization with relaxed controls," Nonlinear Analysis, Theory - Artstein - 1983
15	Discontinuous differential equations - Hájek - 1979
15	Dissipative nonlinear systems: Basic properties and stability analysis - Hill - 1992
15	Integrator forwarding: a new recursive nonlinear robust design,” Automatica 33(1997 - Sepulchre, Jankovic, et al.
15	Bounded-input bounded-output stability of nonlinear timevarying differential systems - Varaiya, Liu
12	Positional differential games - Krasovskii, Subbotin - 1974
11	Discontinuous vector fields and feedback control - Hermes - 1967
8	A Lyapunov characterization of robust stabilization,” J. Nonlinear Analysis, to appear. Summarized verion in “Stabilization under measurement noise: Lyapunov characterization - Ledyaev, Sontag - 1998
7	Robust stabilization of nonlinear systems with pointwise norm bounded uncertainties: A control Lyapunov approach - Battilotti
6	Remarks on control lyapunov functions for discontinuous stabilizing feedback - Lafferriere, Sontag - 1993
3	Asymptotic stability of differential inclusions, submitted - Clarke, Ledyaev, et al. - 1997
3	On integral-inputto -state stabilization - Krichman, Sontag, et al. - 1999
3	A Lyapunov characterization of robust stabilization," J. Nonlinear Analysis, to appear. Summarized verion in "Stabilization under measurement noise: Lyapunov characterization - Ledyaev, Sontag - 1998