Well-Posed Linear Systems

By Olof J. Staffans. 2005

503 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a78d2893ecc09455fd08a1bc8565efabcc50f454

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In Computational Theory and Mathematics

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Citations in the corpus

Characterization by observability inequalities of controllability and stabilization properties (2018, background): “For the latter case, we speak of unbounded control operators, which are operators B that are not continuous from U to X but are continuous from U to some larger space X−α which can be defined by extrapolation (scale of Hilbert spaces, see [17, 42, 45]).”
Dirac structures and Boundary Control Systems associated with Skew-Symmetric Differential Operators (2005, background): “A natural question is the relation of our class of systems, especially the Hamiltonian systems with the systems nodes (see [26]), and with the class of well-posed linear systems.”
Maximal Controllability for Boundary Control Problems (2010, methodology): “Other approaches are due to G. Weiss [45], who uses his concept of admissibility (see the survey article by Jacob–Partington [23] and the monograph by O.J. Staffans [ 40 ]), while H.J.A.M.”
The Cayley Transform as a Time Discretization Scheme (2007, background): “, Ober and Montgomery-Smith [28] and the numerous other references given in [33].”
Observation and Control for Operator Semigroups (2009, methodology): “The books Arendt, Batty, Hieber and Neubrander [8], Bensoussan, Da Prato, Delfour and Mitter [17], Curtain and Zwart [39], Ito and Kappel [110], Luo, Guo and Morgul [163], Staffans [209] and Yosida [239] have substantial chapters devoted to this topic.”
Impedance Passive and Conservative Boundary Control Systems (2007, background): “The papers [13,21–23], and [24] deal with scattering conservative well-posed linear systems, and in [1] and [20] passive systems are also included.”
When is a linear system conservative (2006, background): “Keywords: Conservative system, energy preserving system, well-posed linear system, regular linear system, operator node, Cayley transform.”
Admissibility of Control and Observation Operators for Semigroups: A Survey (2004, background): “Further comments on the extended semigroup and the Hille–Yosida condition can be found in Staffans [68, 67].”
Well-posedness and regularity of hyperbolic boundary control systems on a one-dimensional spatial domain (2010, methodology): “We begin with a useful lemma, its proof can be found in Chapter 7 of Staffans [ 13 ].”