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
GLIELMO L.
1991-01-01
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.File in questo prodotto:
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