A sufficient condition for existence of constantly nondominated trajectories in linear time-invariant systems
DOI:
https://doi.org/10.7494/automat.2018.22.1.7Keywords:
multicriteria optimal control, attainable sets, reachable sets, hyperplanes methodAbstract
The paper considers multicriteria optimal control problem in linear time-invariant systems with a single bounded input. It is proven that under certain assumptions a state trajectory is nondominated throughout the whole control process if and only if it is yielded by a control signal which belongs to a particular class of bang-bang functions. Furthermore, an explicit formula relating hyperplanes tangent to attainable set and control switching times is presented.
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