论文信息 - Numerical verification of local input-to-state stability for large networks

Numerical verification of local input-to-state stability for large networks

We consider networks of locally input-to-state stable (LISS) systems. Under a small gain condition the entire network is again LISS. An efficient numerical test to check the small gain condition is presented in this paper. An example from applications serves as a demonstration for quantitative results.

Fabian R. Wirth | Sergey Dashkovskiy | Björn Rüffer

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

[2] B. Curtis Eaves,et al. Homotopies for computation of fixed points , 1972, Math. Program..

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

[4] Sergey Dashkovskiy,et al. A LYAPUNOV ISS SMALL-GAIN THEOREM FOR STRONGLY CONNECTED NETWORKS , 2007 .

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

[6] Fabian R. Wirth,et al. Construction of ISS Lyapunov functions for networks , 2006 .

[7] Fabian R. Wirth,et al. Discrete time monotone systems: Criteria for global asymptotic stability and applications , 2006 .

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

[9] Björn S. Rüffer,et al. A small-gain type stability criterion for large scale networks of ISS systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

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