The ISS philosophy as a unifying framework for stability-like behavior

The input to state stability (ISS) paradigm is motivated as a generalization of classical linear systems concepts under coordinate changes. A summary is provided of the main theoretical results concerning ISS and related notions of input/output stability and detectability. A bibliography is also included, listing extensions, applications, and other current work.

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[58]  Riccardo Marino,et al.  Nonlinear output feedback tracking with almost disturbance decoupling , 1999, IEEE Trans. Autom. Control..

[59]  Eduardo Sontag,et al.  Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes , 1998, math/9812137.

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[63]  Eduardo D. Sontag,et al.  A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections , 2002, J. Frankl. Inst..

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[66]  Joao P. Hespanha,et al.  Supervisory control of integral-input-to-state stabilizing controllers , 1999, 1999 European Control Conference (ECC).

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[69]  J. Tsinias Sontag's “input to state stability condition” and global stabilization using state detection , 1993 .

[70]  Wu-Sheng Lu,et al.  On robust stability of 2-D discrete systems , 1995, IEEE Trans. Autom. Control..

[71]  Yuan Wang,et al.  Stabilization in spite of matched unmodeled dynamics and an equivalent definition of input-to-state stability , 1996, Math. Control. Signals Syst..

[72]  Eduardo Sontag,et al.  Changing supply functions in input/state stable systems , 1995, IEEE Trans. Autom. Control..

[73]  David Angeli,et al.  A Lyapunov approach to incremental stability properties , 2002, IEEE Trans. Autom. Control..

[74]  Eduardo Sontag,et al.  On integral-input-to-state stabilization , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[75]  A. Isidori Global almost disturbance decoupling with stability for non minimum-phase single-input single-output , 1996 .

[76]  M. Krstić,et al.  Inverse optimal design of input-to-state stabilizing nonlinear controllers , 1998, IEEE Trans. Autom. Control..

[77]  Yuandan Lin,et al.  Various results concerning set input-to-state stability , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[78]  Zhong-Ping Jiang,et al.  Decentralized output-feedback control with disturbance attenuation for large-scale nonlinear systems , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

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[80]  Randy A. Freeman,et al.  Robust Nonlinear Control Design , 1996 .

[81]  Zhong-Ping Jiang,et al.  A small-gain control method for nonlinear cascaded systems with dynamic uncertainties , 1997, IEEE Trans. Autom. Control..

[82]  Andrew R. Teel,et al.  On Assigning the Derivative of a Disturbance Attenuation Control Lyapunov Function , 2000, Math. Control. Signals Syst..

[83]  Eduardo Sontag Stability and stabilization: discontinuities and the effect of disturbances , 1999, math/9902026.

[84]  Lars Grüne,et al.  Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations , 1999 .

[85]  Eduardo Sontag,et al.  On Characterizations of Input-to-State Stability with Respect to Compact Sets , 1995 .

[86]  Zhengzhi Han,et al.  Bounded-input-bounded-output stabilization of nonlinear systems using state detectors , 1993 .

[87]  Yuandan Lin,et al.  On input-to-state stability for time varying nonlinear systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[88]  A. Teel,et al.  Singular perturbations and input-to-state stability , 1996, IEEE Trans. Autom. Control..

[89]  Alberto Isidori,et al.  Nonlinear Control Systems, Third Edition , 1995, Communications and Control Engineering.

[90]  Jean-Jacques E. Slotine,et al.  On Contraction Analysis for Non-linear Systems , 1998, Autom..