Strong and Weak Leonov Functions for Global Boundedness of State Periodic Systems

Strong and Weak Leonov Functions for Global Boundedness of State Periodic Systems

We present new results for the analysis of global boundedness of state periodic systems. Thereby, we address both the case of systems, whose dynamics is periodic with respect to a part of the state vector and the case of systems, whose dynamics is periodic with respect to all state variables. To der...

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Veröffentlicht in:IEEE transactions on automatic control 2023-12, Vol.68 (12), p.1-8
Hauptverfasser: Schiffer, Johannes, Efimov, Denis
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Automatic
Engineering Sciences
Mathematical analysis
Microgrids
Oscillators
Power system dynamics
Power system stability
Stability analysis
State vectors
Sufficient conditions
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Zusammenfassung:We present new results for the analysis of global boundedness of state periodic systems. Thereby, we address both the case of systems, whose dynamics is periodic with respect to a part of the state vector and the case of systems, whose dynamics is periodic with respect to all state variables. To derive the results the notion of strong Leonov functions is introduced. The main results are complemented by a number of relaxations based on the concept of weak Leonov functions.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2023.3251903