Robust asymptotic stability of parametric switched linear systems with dwell time

What is it about?

In this study, impact of uncertain parameters on the stability of Parametrised switched linear systems with dwell time is investigated. Upper bounds on parametric uncertainties are determined in the way that robust asymptotic stability is assured under dwell time constraints.

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Why is it important?

The parametric uncertainties mostly arise when the state equations which are derived based on physical or chemical laws, depend on uncertain parameters. When uncertain systems with parametric uncertainties are investigated, theorems for robust stability of systems with unstructured uncertainties will impose unnecessary conservations. As we should ignore the information about the known structure of uncertainties and include uncertainties, which will never arise in the given system.