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Robust Stability of Networks of iISS Systems: Construction of Sum-Type Lyapunov Functions.
- Source :
-
IEEE Transactions on Automatic Control . May2013, Vol. 58 Issue 5, p1192-1207. 16p. - Publication Year :
- 2013
-
Abstract
- This paper gives a solution to the problem of verifying stability of networks consisting of integral input-to-state stable (iISS) subsystems. The iISS small-gain theorem developed recently has been restricted to interconnections of two subsystems. For large-scale systems, stability criteria relying only on gain-type information that were previously developed address only input-to-state stable (ISS) subsystems. To address the stability problem involving iISS subsystems interconnected in general structure, this paper shows how to construct Lyapunov functions of the network by means of a sum of nonlinearly rescaled individual Lyapunov functions of subsystems under an appropriate small-gain condition. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 58
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 101187649
- Full Text :
- https://doi.org/10.1109/TAC.2012.2231552