Results and properties related to the exponential stability of singularly perturbed systems are presented. The main result is that, if both the reduced order system and the boundary-layer system are exponentially stable, then the full order system is exponentially stable and its rate of convergence approaches that of the reduced order system as the perturbation parameter approaches zero. Exponentially decaying norm bounds are given for the slow and fast components of the full order system trajectories.
Exponential Stability of Singularly Perturbed Systems / M., Corless; Glielmo, L.. - (1991). (Intervento presentato al convegno American Control Conference, ACC91 tenutosi a Boston, MA, USA nel 26 June 1991 through 28 June 1991).
Exponential Stability of Singularly Perturbed Systems
GLIELMO L.
1991
Abstract
Results and properties related to the exponential stability of singularly perturbed systems are presented. The main result is that, if both the reduced order system and the boundary-layer system are exponentially stable, then the full order system is exponentially stable and its rate of convergence approaches that of the reduced order system as the perturbation parameter approaches zero. Exponentially decaying norm bounds are given for the slow and fast components of the full order system trajectories.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
