Input-to-State Stability, integral Input-to-State Stability, and $\mathcal{L}_2$-Gain Properties: Qualitative Equivalences and Interconnected Systems
Optimization and Control
2014-05-02 v1
Abstract
Input-to-state stability (ISS) and -gain are well-known robust stability properties that continue to find wide application in the analysis and control of nonlinear dynamical systems and their interconnections. We investigate the relationship between ISS-type and -gain properties, demonstrating several qualitative equivalences between these two approaches. We subsequently present several new sufficient conditions for the stability of interconnected systems derived by exploiting these qualitative equivalences.
Keywords
Cite
@article{arxiv.1405.0134,
title = {Input-to-State Stability, integral Input-to-State Stability, and $\mathcal{L}_2$-Gain Properties: Qualitative Equivalences and Interconnected Systems},
author = {Christopher M. Kellett and Peter M. Dower},
journal= {arXiv preprint arXiv:1405.0134},
year = {2014}
}
Comments
14 pages, 2 figures, submitted to IEEE Transactions on Automatic Control 16 Feb 2014