Mathematical Systems Theory I pp 517713  Cite as
Uncertain Systems
Abstract

Parameter uncertainty. The model may depend on some physical parameters which are not known precisely.

Imperfect knowledge of the dynamics. There may be nonlinear and/or timevarying effects which are not known accurately.

Unknown inputs and neglected dynamics. A system is usually in dynamic interaction with its environment and it is often not clear where the boundary of the system should be drawn. Uncertainties arise if parts of the real system dynamics are not accounted for in the model and if the inputs to the system from the environment are not accurately known.

Model simplification. Although an accurate complex model of the real physical system may be available, it is often necessary to simplify this for the purpose of analysis and design. E.g. nonlinearities and timevariations are neglected, infinite dimensional systems are replaced by finite dimensional ones and sometimes further model reduction techniques are used to reduce the dimension of the system.

Discretization and Rounding Errors. If simulations are carried out on a computer, discretization methods must be applied and rounding errors are introduced which will lead to unknown nonlinear model perturbations.
Keywords
Uncertain System Spectral Norm Linear Fractional Transformation Contraction Semigroup Stability RadiusPreview
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