scholarly journals Exponential Stabilization of Boundary Controlled Port-Hamiltonian Systems With Dynamic Feedback

2014 ◽  
Vol 59 (10) ◽  
pp. 2849-2855 ◽  
Author(s):  
Hector Ramirez ◽  
Yann Le Gorrec ◽  
Alessandro Macchelli ◽  
Hans Zwart
2022 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jochen Schmid

<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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