Infinite-dimensional port-Hamiltonian systems: a system node approach

We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes as reported by Staffans (Well-posed linear systems. Encyclopedia of mathematics and its applications, Cambridge University Press, Cambridge, UK, 2005)...

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Vydáno v:	Mathematics of control, signals, and systems Ročník 37; číslo 3; s. 573 - 620
Hlavní autoři:	Philipp, Friedrich M., Reis, Timo, Schaller, Manuel
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	London Springer London 01.09.2025 Springer Nature B.V
Témata:	Communications Engineering Control Energy Hamiltonian functions Hilbert space Hyperbolic systems Linear systems Mathematics Mathematics and Statistics Mechatronics Networks Ordinary differential equations Original Article Partial differential equations Robotics System theory Systems Theory Boundary control Infinite-dimensional systems System nodes Port-Hamiltonian systems
ISSN:	0932-4194, 1435-568X
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Abstract	We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes as reported by Staffans (Well-posed linear systems. Encyclopedia of mathematics and its applications, Cambridge University Press, Cambridge, UK, 2005) to formulate a suitable concept for port-Hamiltonian systems, which allows a unifying approach to systems with boundary as well as distributed control and observation. The concept presented in this article is further neither limited to parabolic nor hyperbolic systems, and it also covers partial differential equations on multi-dimensional spatial domains. Our presented theory is substantiated by means of several physical examples.
AbstractList	We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes as reported by Staffans (Well-posed linear systems. Encyclopedia of mathematics and its applications, Cambridge University Press, Cambridge, UK, 2005) to formulate a suitable concept for port-Hamiltonian systems, which allows a unifying approach to systems with boundary as well as distributed control and observation. The concept presented in this article is further neither limited to parabolic nor hyperbolic systems, and it also covers partial differential equations on multi-dimensional spatial domains. Our presented theory is substantiated by means of several physical examples. We consider an operator-theoretic approach to linear infinite-dimensional port-Hamiltonian systems. In particular, we use the theory of system nodes as reported by Staffans (Well-posed linear systems. Encyclopedia of mathematics and its applications, Cambridge University Press, Cambridge, UK, 2005) to formulate a suitable concept for port-Hamiltonian systems, which allows a unifying approach to systems with boundary as well as distributed control and observation. The concept presented in this article is further neither limited to parabolic nor hyperbolic systems, and it also covers partial differential equations on multi-dimensional spatial domains. Our presented theory is substantiated by means of several physical examples.
Author	Philipp, Friedrich M. Reis, Timo Schaller, Manuel
Author_xml	– sequence: 1 givenname: Friedrich M. surname: Philipp fullname: Philipp, Friedrich M. organization: Optimization-Based Control Group, Technische Universität Ilmenau – sequence: 2 givenname: Timo surname: Reis fullname: Reis, Timo organization: Systems Theory and Partial Differential Equations Group, Technische Universität Ilmenau – sequence: 3 givenname: Manuel surname: Schaller fullname: Schaller, Manuel email: manuel.schaller@math.tu-chemnitz.de organization: Faculty of Mathematics, Chemnitz University of Technology
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Title	Infinite-dimensional port-Hamiltonian systems: a system node approach
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