| Output-Input Stability of Nonlinear Systems and Input/Output Operators (2008) | |||||||||||||||
Abstract | |||||||||||||||
| The notion of output-input stability, recently proposed in [2], represents a variant of the minimum-phase property for general smooth nonlinear control systems. In the spirit of the input-to-state stability (ISS) philosophy, the de nition of output-input stability requires the state and the input of the system to be bounded by a suitable function of the output and derivatives of the output, modulo a decaying term depending on initial conditions. The present work extends this concept to the setting of input/output operators. We show that output-input stability of a system implies output-input stability of the associated input/output operator, and that under suitable reachability and observability assumptions, a converse result also holds. | |||||||||||||||
Publication details | |||||||||||||||
| |||||||||||||||