On a Small Gain Theorem for ISS Networks in Dissipative Lyapunov Form
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Araki, 1978, Stability of large-scale nonlinear systems– quadratic-order theory of composite-system method using M-matrices, IEEE Trans Autom Control, 129, 10.1109/TAC.1978.1101728
Clarke, 2001, Nonsmooth analysis in control theory: a survey, Eur J Control, 7, 63, 10.3166/ejc.7.145-159
Clarke, 1998
Dashkovskiy, 2006, An ISS Lyapunov function for networks of ISS systems, 77
Dashkovskiy, 2007, An ISS small-gain theorem for general networks, Math Control Signals Syst, 19, 93, 10.1007/s00498-007-0014-8
Dashkovskiy, 2010, Small gain theorems for large scale systems and construction of ISS Lyapunov functions, SIAM J Control Optim, 48, 4089, 10.1137/090746483
Dashkovskiy, 2007, A Lyapunov ISS small gain theorem for strongly connected networks, 283
Hill, 1977, Stability results for nonlinear feedback systems, Automatica, 13, 377, 10.1016/0005-1098(77)90020-6
Ito, 2002, A constructive proof of ISS small-gain theorem using generalized scaling, 2286
Ito, 2006, State-dependent scaling problems and stability of interconnected iISS and ISS systems, IEEE Trans. Automat. Control, 51, 1626, 10.1109/TAC.2006.882930
Ito, 2006, Nonlinear small-gain condition covering iISS systems: Necessity and sufficiency from a Lyapunov perspective, 355
Ito, 2008, Small-gain conditions and Lyapunov functions applicable equally to iISS and ISS systems without uniformity assumption, 2297
Jiang, 1996, A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems, Automatica J IFAC, 32, 1211, 10.1016/0005-1098(96)00051-9
Jiang, 1994, Small-gain theorem for ISS systems and applications, Math Control Signals Syst, 7, 95, 10.1007/BF01211469
Jiang, 2008, A generalization of the small-gain theorem for large-scale complex systems, 1188
Karafyllis I, Jiang Z.-P. A vector small-gain theorem for general nonlinear control systems. submitted, 2009. http://arxiv.org/pdf/0904.0755v1.
Moylan, 1978, Stability criteria for large-scale systems, IEEE Trans Autom Control, 23, 143, 10.1109/TAC.1978.1101721
Rüffer BS. Monotone Systems, Graphs, and Stability of Large-Scale Interconnected Systems. Dissertation, Fachbereich 3, Mathematik und Informatik, Universität Bremen, Germany, August 2007. Available online: http://nbnresolving.de/urn:nbn:de:gbv:46-diss000109058.
Rüffer, 2010, Connection between cooperative positive systems and integral input-to-state stability of large-scale systems, Automatica, 46, 1019, 10.1016/j.automatica.2010.03.012
Sontag, 1989, Smooth stabilization implies coprime factorization, IEEE Trans Autom Control, 34, 435, 10.1109/9.28018
Sontag, 1995, Onthe input-to-state stability property, European J Control, 1, 24, 10.1016/S0947-3580(95)70005-X
Sontag, 1998, Comments on integral variants of ISS, Inf Syst Control J, 34, 93