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On the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems [PDF]
, 2014 In this paper, we consider the well-known Fattorini's criterion for approximate controllability of infinite dimensional linear systems of type $y'=A y+Bu$. We precise the result proved by H. O.
Badra, Mehdi, Takahashi, Takéo
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Nonlinear control of a class of underactuated systems [PDF]
, 1996 A theoretical framework is established for the dynamics and control of underactuated systems, defined as systems which have fewer inputs than degrees of freedom.
Kolmanovsky, Ilya +4 more
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Asymptotic Stabilizability of Underactuated Hamiltonian Systems With Two Degrees of Freedom [PDF]
, 2019 For an underactuated (simple) Hamiltonian system with two degrees of freedom and one degree of underactuation, a rather general condition that ensures its stabilizability, by means of the existence of a (simple) Lyapunov function, was found in a recent ...
Grillo, Sergio +2 more
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Stabilizable Gaussian states [PDF]
Physical Review A, 2018 The unavoidable interaction of quantum systems with their environment usually results in the loss of desired quantum resources. Suitably chosen system Hamiltonians, however, can, to some extent, counteract such detrimental decay, giving rise to the set of stabilizable states.
Rudnicki, Łukasz, Gneiting, Clemens
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On the Stability and Controllability of Degenerate Differential Systems in Hilbert Spaces
International Journal of Analysis and Applications, 2023 We apply the famous theorem of Lyapunov for some degenerate differential systems taken the form Ax’(t) + Bx(t) = Φ(t, x(t)), where t∈R+ and A, B are linear bounded operators in Hilbert spaces, Φ is a given function. The obtained results are used to study
Norelhouda Beghersa, Fares Yazid
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MAXIMAL SOLUTION FOR GENERALIZED RICCATI EQUATIONS OF CONTROL [PDF]
Fiabilitate şi Durabilitate, 2023 In this paper we consider a class of generalized discrete-time Riccati equations (GDTREs) defined on ordered spaces of operator valued Borel measurable functions. We prove that under stabilizability conditions there is a maximal solutions for the GDTRE.
Iulia Iarina UNGUREANU +1 more
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International Journal of Applied Mathematics and Computer Science, 2017 For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property being related to exact null controllability.
Rabah Rabah +2 more
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Sub-super-stabilizability of certain bivariate means via mean-convexity
Journal of Inequalities and Applications, 2016 In this paper, we first show that the first Seiffert mean P is concave whereas the second Seiffert mean T and the Neuman-Sándor mean NS are convex. As applications, we establish the sub-stabilizability/super-stabilizability of certain bivariate means ...
Mustapha Raïssouli, József Sándor
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Stability and stabilizability of linear time-delay systems on homogeneous time scales; pp. 124–136 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 This paper provides necessary and sufficient conditions for the exponential stability of a linear retarded time-delay system defined on a homogeneous time scale.
Juri Belikov, Zbigniew Bartosiewicz
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On Structured Realizability and Stabilizability of Linear Systems [PDF]
, 2012 We study the notion of structured realizability for linear systems defined over graphs. A stabilizable and detectable realization is structured if the state-space matrices inherit the sparsity pattern of the adjacency matrix of the associated graph.
Kristalny, Maxim +2 more
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