Input to state stability and allied system properties

The main results obtained in the field of input-state stable systems and systems with other similar characteristics that were published over the last two decades were reviewed.

[1]  Alexander L. Fradkov,et al.  Input‐to‐output stabilization of nonlinear systems via backstepping , 2009 .

[2]  Eduardo D. Sontag,et al.  The ISS philosophy as a unifying framework for stability-like behavior , 2001 .

[3]  Eduardo Sontag,et al.  Output-to-state stability and detectability of nonlinear systems , 1997 .

[4]  Yuandan Lin,et al.  STABILIZATION WITH RESPECT TO NONCOMPACT SETS: LYAPUNOV CHARACTERIZATIONS AND EFFECT OF BOUNDED INPUTS , 1992 .

[5]  Zhong-Ping Jiang,et al.  Small-gain theorem for a wide class of feedback systems with control applications , 2007, 2007 European Control Conference (ECC).

[6]  Iasson Karafyllis,et al.  ISS property for time-varying systems and application to partial-static feedback stabilization and asymptotic tracking , 1999, IEEE Trans. Autom. Control..

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[9]  Yuandan Lin,et al.  INPUT TO STATE STABILIZABILITY FOR PARAMETRIZED FAMILIES OF SYSTEMS , 1995 .

[10]  Eduardo Sontag.  Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[11]  Eduardo Sontag.  Further facts about input to state stabilization , 1990 .

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

[13]  A. Rantzer.  A dual to Lyapunov's stability theorem , 2001 .

[14]  João Pedro Hespanha,et al.  Supervision of integral-input-to-state stabilizing controllers , 2002, Autom..

[15]  Zhong-Ping Jiang,et al.  A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems , 1996, Autom..

[16]  Debasish Chatterjee,et al.  Input-to-state stability of switched systems and switching adaptive control , 2007, Autom..

[17]  Eduardo Sontag.  A universal construction of Artstein's theorem on nonlinear stabilization , 1989 .

[18]  D. Mayne.  Nonlinear and Adaptive Control Design [Book Review] , 1996, IEEE Transactions on Automatic Control.

[19]  Brian Ingalls,et al.  On Input-to-Output Stability for Systems not Uniformly Bounded , 2001 .

[20]  Alexander L. Fradkov,et al.  ADAPTIVE OUTPUT CONTROL METHODS FOR NONLINEAR OBJECTS , 1996 .

[21]  Alexander L. Fradkov,et al.  Adaptive input‐to‐output stabilization of nonlinear systems , 2008 .

[22]  Denis Efimov.  PASSIVITY AND INPUT-TO-STATE STABILITY OF NONLINEAR SYSTEMS , 2006 .

[23]  Fabian R. Wirth,et al.  Applications of the general Lyapunov ISS small-gain theorem for networks , 2008, 2008 47th IEEE Conference on Decision and Control.

[24]  Yuandan Lin,et al.  A Smooth Converse Lyapunov Theorem for Robust Stability , 1996 .

[25]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[26]  Miroslav Krstic,et al.  Stabilization of stochastic nonlinear systems driven by noise of unknown covariance , 2001, IEEE Trans. Autom. Control..

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[28]  Eduardo Sontag,et al.  On characterizations of the input-to-state stability property , 1995 .

[29]  Hiroshi Ito,et al.  State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems , 2006, IEEE Transactions on Automatic Control.

[30]  J. Tsinias.  Stochastic input-to-state stability and applications to global feedback stabilization , 1998 .

[31]  Adaptive Input-to-Output Stabilization of Nonlinear Systems , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[32]  Eduardo Sontag,et al.  A notion of input to output stability , 1997, 1997 European Control Conference (ECC).

[33]  Denis Efimov,et al.  UNIVERSAL FORMULA FOR OUTPUT ASYMPTOTIC STABILIZATION , 2002 .

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[35]  Zhong-Ping Jiang,et al.  On the Liapunov-Krasovskii methodology for the ISS of systems described by coupled delay differential and difference equations , 2008, Autom..

[36]  Fabian R. Wirth,et al.  An ISS small gain theorem for general networks , 2007, Math. Control. Signals Syst..

[37]  A. Alessandri.  Observer design for nonlinear systems by using Input-to-State Stability , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[38]  David Angeli,et al.  Nonlinear norm-observability notions and stability of switched systems , 2005, IEEE Transactions on Automatic Control.

[39]  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..

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

[41]  Eduardo Sontag,et al.  Notions of input to output stability , 1999, Systems & Control Letters.

[42]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

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[44]  Sergey Dashkovskiy,et al.  Local ISS of large-scale interconnections and estimates for stability regions , 2010, Syst. Control. Lett..

[45]  Eduardo Sontag,et al.  Forward Completeness, Unboundedness Observability, and their Lyapunov Characterizations , 1999 .

[46]  Fabian R. Wirth,et al.  Small gain theorems for large scale systems and construction of ISS Lyapunov functions , 2009, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[47]  Eduardo D. Sontag,et al.  Global Asymptotic Controllability Implies Input-to-State Stabilization , 2003, SIAM J. Control. Optim..

[48]  Lars Grüne,et al.  Input-to-state dynamical stability and its Lyapunov function characterization , 2002, IEEE Trans. Autom. Control..

[49]  Eduardo Sontag,et al.  New characterizations of input-to-state stability , 1996, IEEE Trans. Autom. Control..

[50]  Eduardo Sontag,et al.  Input-to-state stability for discrete-time nonlinear systems , 1999, at - Automatisierungstechnik.

[51]  Ruth J. Williams,et al.  Stabilization of stochastic nonlinear systems driven by noise of unknown covariance , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[52]  Eduardo Sontag,et al.  Further Equivalences and Semiglobal Versions of Integral Input to State Stability , 1999, math/9908066.

[53]  Dragan Nesic,et al.  Input-to-State Stability for Nonlinear Time-Varying Systems via Averaging , 2001, Math. Control. Signals Syst..

[54]  P. Olver.  Nonlinear Systems , 2013 .

[55]  David Angeli,et al.  A characterization of integral input-to-state stability , 2000, IEEE Trans. Autom. Control..

[56]  L. Grüne.  Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization , 2002 .

[57]  Eduardo Sontag.  Comments on integral variants of ISS , 1998 .

[58]  A. Teel,et al.  Results on input-to-state stability for hybrid systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

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

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[65]  Chaohong Cai,et al.  Characterizations of input-to-state stability for hybrid systems , 2009, Syst. Control. Lett..

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[67]  Daniel Liberzon,et al.  Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation , 2002, Syst. Control. Lett..

[68]  J. Tsinias,et al.  The input-to-state stability condition and global stabilization of discrete-time systems , 1994, IEEE Trans. Autom. Control..

[69]  A. Teel.  Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem , 1998, IEEE Trans. Autom. Control..

[70]  G. Leonov,et al.  Frequency Methods in Oscillation Theory , 1995 .

[71]  David Angeli,et al.  An almost global notion of input-to-State stability , 2004, IEEE Transactions on Automatic Control.

[72]  Björn S. Rüffer.  Monotone inequalities, dynamical systems, and paths in the positive orthant of Euclidean n-space , 2010 .

[73]  Zhengguo Li,et al.  Input-to-state stabilization of switched nonlinear systems , 2001, IEEE Trans. Autom. Control..

[74]  David Angeli,et al.  Separation Principles for Input-Output and Integral-Input-to-State Stability , 2004, SIAM J. Control. Optim..

[75]  Mrdjan J. Jankovic,et al.  Constructive Nonlinear Control , 2011 .

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

[77]  Daniel Liberzon,et al.  Output-input stability and minimum-phase nonlinear systems , 2002, IEEE Trans. Autom. Control..

[78]  Eduardo Sontag,et al.  Input‐to‐state stability with respect to inputs and their derivatives , 2003 .

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

[80]  Denis Efimov,et al.  A condition of CLF existence for affine systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[81]  Eduardo Sontag.  Input to State Stability: Basic Concepts and Results , 2008 .

[82]  Andrew R. Teel,et al.  Input-to-state stability for a class of Lurie systems , 2002, Autom..

[83]  D. Angeli.  Intrinsic robustness of global asymptotic stability , 1999 .

[84]  V. Lakshmikantham,et al.  Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems , 1991 .

[85]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[86]  Michael Malisoff,et al.  Further remarks on strict input-to-state stable Lyapunov functions for time-varying systems , 2005, Autom..

[87]  Andrew R. Teel,et al.  On assigning the derivative of a disturbance attenuation CLF , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[88]  Eduardo D. Sontag,et al.  Lyapunov Characterizations of Input to Output Stability , 2000, SIAM J. Control. Optim..

[89]  Zhong-Ping Jiang,et al.  Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..

[90]  Eduardo D. Sontag,et al.  Input-Output-to-State Stability , 2001, SIAM J. Control. Optim..

[91]  Jan C. Willems,et al.  Dissipative Dynamical Systems , 2007, Eur. J. Control.

[92]  M. Krstic,et al.  Inverse optimal design of input-to-state stabilizing nonlinear controllers , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

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