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An operator-theoret...
An operator-theoretic viewpoint to non-smooth dynamical systems: Koopman analysis of a hybrid pendulum
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Govindarajan, Nithin (author)
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Arbabi, Hassan (author)
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van Blargian, Louis (author)
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Matchen, Timothy (author)
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- Tegling, Emma, 1988- (author)
- KTH,Reglerteknik
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Mezic, Igor (author)
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(creator_code:org_t)
- Institute of Electrical and Electronics Engineers (IEEE), 2016
- 2016
- English.
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In: 2016 IEEE 55th Conference on Decision and Control, CDC 2016. - : Institute of Electrical and Electronics Engineers (IEEE). - 9781509018376 ; , s. 6477-6484
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a pendulum which receives a downward kick at certain fixed angles. The pendulum is modeled as a hybrid automaton and is analyzed from both a geometric perspective and the formalism of Koopman operator theory. A connection is drawn between these two interpretations of a dynamical system by establishing a link between the spectral properties of the Koopman operator and the geometric properties in the state-space.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Annan maskinteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Other Mechanical Engineering (hsv//eng)
Keyword
- control system analysis
- nonlinear dynamical systems
- Koopman analysis
- Koopman operator theory
- event-triggered state resets
- geometric perspective
- hybrid automaton
- hybrid pendulum analysis
- nonsmooth dynamical systems
- operator-theoretic viewpoint
- Angular velocity
- Automata
- Damping
- Eigenvalues and eigenfunctions
- Orbits
- Power system dynamics
- Trajectory
Publication and Content Type
- ref (subject category)
- kon (subject category)
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