Stabilization of port-Hamiltonian systems with discontinuous energy densities
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<p style='text-indent:20px;'>We establish an exponential stabilization result for linear port-Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we have only to require the energy density of the system to be of bounded variation. In particular, and in contrast to the previously known stabilization results, our result applies to vibrating strings or beams with jumps in their mass density and their modulus of elasticity.</p>
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Limit Cycle Bifurcations for Piecewise Smooth Hamiltonian Systems with a Generalized Eye-Figure Loop
2016 ◽
Vol 26
(12)
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pp. 1650204
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2019 ◽
Vol 79
(12)
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2012 ◽
Vol 22
(12)
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pp. 1250296
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2020 ◽
Vol 30
(15)
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pp. 2050230
2020 ◽
Vol 36
(2)
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pp. 171-178
2020 ◽
Vol 30
(09)
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pp. 2050126
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2011 ◽
Vol 62
(9)
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pp. 3603-3613
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