Constructions of thin-tall Boolean spaces.
This is an expository paper about constructions of locally compact, Hausdorff, scattered spaces whose Cantor-Bendixson height has cardinality greater than their Cantor-Bendixson width.
Well-quasi-ordering Aronszajn lines
We show that, assuming PFA, the class of all Aronszajn lines is well-quasi-ordered by embeddability.
On some classes of spaces with the -property
We shall prove that under CH every regular meta-Lindelöf -space which is locally has the -property. In addition, we shall prove that a regular submeta-Lindelöf -space is if it is locally and has locally extent at most . Moreover, these results can be extended from the class of locally -spaces to the wider class of -scattered spaces. Also, we shall give a direct proof (without using topological games) of the result shown by Peng [On spaces which are D, linearly D and transitively D, Topology...
Fixed point theorems for random lower semi-continuous mappings.
The aftermath of the intermediate value theorem.
Approximate fixed points for nonexpansive mappings in uniformly convex spaces
Some remarks on non-special coherent Aronszajn trees
Exponential stability of a flexible structure with history and thermal effect
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
The partial non interacting problem: Structural and geometric solutions
A countable dense homogeneous set of reals of size ℵ₁
We prove there is a countable dense homogeneous subspace of ℝ of size ℵ₁. The proof involves an absoluteness argument using an extension of the logic obtained by adding predicates for Borel sets.
Reliability-based economic model predictive control for generalised flow-based networks including actuators' health-aware capabilities
This paper proposes a reliability-based economic model predictive control (MPC) strategy for the management of generalised flow-based networks, integrating some ideas on network service reliability, dynamic safety stock planning, and degradation of equipment health. The proposed strategy is based on a single-layer economic optimisation problem with dynamic constraints, which includes two enhancements with respect to existing approaches. The first enhancement considers chance-constraint programming...
Robust MPC for actuator-fault tolerance using set-based passive fault detection and active fault isolation
In this paper, a fault-tolerant control (FTC) scheme is proposed for actuator faults, which is built upon tube-based model predictive control (MPC) as well as set-based fault detection and isolation (FDI). In the class of MPC techniques, tubebased MPC can effectively deal with system constraints and uncertainties with relatively low computational complexity compared with other robust MPC techniques such as min-max MPC. Set-based FDI, generally considering the worst case of uncertainties, can robustly...
Lyapunov-based PD linear control of the oscillatory behavior of a nonlinear mechanical system: the inverted physical pendulum with moving mass case.
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