Introduction To Infinite Dimensional Linear Systems Theory

By U. Eggers. 2016

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Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions (2014, methodology): “has been addressed via methods of semigroup theory [17, 5].”
Characterization by observability inequalities of controllability and stabilization properties (2018, background): “, heat, wave, Schrödinger equations), such inequalities are instrumental to establish controllability properties (see the textbooks [8, 17, 20, 30, 33, 34]).”
On the Fattorini criterion for approximate controllability and stabilizability of parabolic systems (2014, methodology): “We refer for instance to the book of Curtain and Zwart where the rank condition is stated for self-adjoint or diagonal operator having simple spectrum as well as a Riesz basis of eigenvectors (see [14], Thms.”
Approximate Controllability of Fractional Semilinear Stochastic System of Order α∈ (1,2] (2016, background): “control theory in finite and infinite dimensional spaces has been introduced in [2] and [3] respectively.”