Communications in Information and Systems
Volume 6 (2006)
Small Gain Theorem with Restrictions for Uncertain Time-varying Nonlinear Systems
Pages: 115 – 136
This paper gives three versions of the small gain theorem with restrictions for uncertain time-varying nonlinear systems. The result can be viewed as an extension of the small gain theorem with restrictions for time-invariant nonlinear systems or the small gain theorem without restrictions for time-varying nonlinear systems. The result can be applied to study the stabilization problem or the output regulation problem of uncertain nonlinear systems.
Small gain theorem; nonlinear control; nonlinear systems