Small gain theorems for large scale systems and construction of ISS Lyapunov functions

被引：0
|
作者：
Dashkovskiy, Sergey N. [1 ]
Rueffer, Bjoern S. [2 ]
Wirth, Fabian R. [3 ]
机构：
[1] Univ Appl Sci Erfurt, Dept Civil Engn, Altonaer Str 25, D-99085 Erfurt, Germany
[2] Univ Paderborn, EIM E, Signal & Syst Theory Grp, D-33098 Paderborn, Germany
[3] Univ Wurzburg, Inst Math, D-97074 Wurzburg, Germany
来源：
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2012年
关键词：
Nonlinear systems; input-to-state stability; interconnected systems; large scale systems; Lipschitz ISS Lyapunov function; small gain condition; TO-STATE STABILITY; FORMULATION;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider interconnections of n nonlinear subsystems in the input-to-state stability (ISS) framework. For each subsystem an ISS Lyapunov function is given that treats the other subsystems as independent inputs. A gain matrix is used to encode the mutual dependencies of the systems in the network. Under a small gain assumption on the monotone operator induced by the gain matrix, a locally Lipschitz continuous ISS Lyapunov function is obtained constructively for the entire network by appropriately scaling the individual Lyapunov functions for the subsystems.
引用
收藏
页码：4165 / 4170
页数：6
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