Integral input-to-state stability of switched nonlinear systems with unstable subsystems
ZHAO Hai-juan
ZONG Guang-deng
Abstract：This paper deals with the problem of integral input-to-state stability (iISS) for switched nonlinear systems with unstable subsystems. A Lyapunov-like function with indefinite derivative is introduced to derive the iISS of switched nonlinear systems, which generalizes the classic Lyapunov function with positive definite derivative. Two cases are consid-ered. A switched nonlinear system is iISS if all subsystems are iISS. Moreover, if some of subsystems are not iISS, the iISS property is shown for the switched nonlinear systems. An illustrative example is presented to demonstrate the effectiveness of the main results.
Keywords：integral input-to-state stabilityswitched systemsLyapunov-like function with indefinite derivativeunsta-ble subsystems
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 1359-1365 )