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In model-based fault diagnosis for dynamic systems with uncertain parameters, an envelope of all fault-free behaviors can be determined from the model and used as a reference for detecting faults. We demonstrate here a method for generating an envelope that is rigorously guaranteed to be complete, but without significant overestimation. The method is based on an interval approach, but uses Taylor...
A new approach is described for the deterministic global optimization of dynamic systems, including problems in parameter estimation and optimal control. The method is based on interval analysis and Taylor models, and employs a sequential approach using a type of branch-and-reduce strategy. A key feature of the method is the use of a new validated solver for parametric ODEs, which is used to produce...
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