A Non-Conservative Small-Gain Theorem for GAS Discrete-Time Systems
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Fabian R. Wirth | Mircea Lazar | Rob H. Gielen | Roman Geiselhart | F. Wirth | M. Lazar | R. H. Gielen | R. Geiselhart
[1] G. Zames. On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .
[2] Zhong-Ping Jiang,et al. Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..
[3] Zhong-Ping Jiang,et al. A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems , 1996, Autom..
[4] D. Aeyels,et al. A new asymptotic stability criterion for nonlinear time-variant differential equations , 1998, IEEE Trans. Autom. Control..
[5] P. Kokotovic,et al. Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations , 1999 .
[6] Eduardo Sontag,et al. Input-to-state stability for discrete-time nonlinear systems , 1999, at - Automatisierungstechnik.
[7] Zhong-Ping Jiang,et al. A converse Lyapunov theorem for discrete-time systems with disturbances , 2002, Syst. Control. Lett..
[8] Zhong-Ping Jiang,et al. Nonlinear small-gain theorems for discrete-time feedback systems and applications , 2004, Autom..
[9] Andrew R. Teel,et al. On the Robustness of KL-stability for Difference Inclusions: Smooth Discrete-Time Lyapunov Functions , 2005, SIAM J. Control. Optim..
[10] Mircea Lazar,et al. Model predictive control of hybrid systems : stability and robustness , 2006 .
[11] Fabian R. Wirth,et al. An ISS small gain theorem for general networks , 2007, Math. Control. Signals Syst..
[12] Jiang Zhongping,et al. Nonlinear small-gain theorems for discrete-time large-scale systems , 2008, 2008 27th Chinese Control Conference.
[13] F. Mazenc,et al. O ct 2 00 6 Constructions of Strict Lyapunov Functions for Discrete Time and Hybrid Time-Varying Systems ∗ , 2008 .
[14] Björn Rüffer. Small-Gain Conditions and the Comparison Principle , 2010, IEEE Transactions on Automatic Control.
[15] Fabian R. Wirth,et al. Numerical construction of LISS Lyapunov functions under a small-gain condition , 2011, IEEE Conference on Decision and Control and European Control Conference.
[16] Mircea Lazar,et al. Non-conservative dissipativity and small-gain conditions for stability analysis of interconnected systems , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).
[17] 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).
[18] Zhong-Ping Jiang,et al. Lyapunov formulation of the large-scale, ISS cyclic-small-gain theorem: The discrete-time case , 2012, Syst. Control. Lett..