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Fix any point 𝑂. If 𝑥 is a positive number, we would like to define the dilation with center 𝑂 and scaling factor 𝑥 to be the function taking 𝑂...
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Sliding Mode Multimodel Control
Sliding Mode Control is a powerful nonlinear control technique that has been intensively developed during the last 35 years [1],[2]. The sliding mode...
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Fixed-Time Controller Design for a Quadrotor UAV with Asymmetric Output Error Constraints
In this article, a fixed-time tracking control strategy is proposed for a quadrotor UAV (QUAV) with external disturbance and asymmetric output error...
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Parareal Schwarz Waveform Relaxation Method for the Time-Periodic Parabolic Problem
Time-periodic problems appear typically in special physical situations, for example in eddy current simulations [1], or when periodic forcing is...
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Hilbert Problem 15 and Ritt-Wu Method (II)
This paper proves three statements of Schubert about cuspal cubic curves in a plane by using the concept of generic point of Van der Waerden and Weil...
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Identification of Parameters in Dynamic Systems via Sliding-Mode Techniques
Modern Identification Theory ([11], [12], [10]) basically deals with the problem of the efficient extraction of signal and systems dynamic properties...
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Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study
The heat and mass transfer of two immiscible fluids in an inclined channel with thermal diffusion, vicious, and Darcy dissipation is studied. The...
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Reflection of three-dimensional plane waves at the free surface of a rotating triclinic half-space under the context of generalized thermoelasticity
The reflection of three-dimensional (3D) plane waves in a highly anisotropic (triclinic) medium under the context of generalized thermoelasticity is...
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Criteria for minimization of spectral abscissa of time-delay systems
Spectral abscissa (SA) is defined as the real part of the rightmost characteristic root(s) of a dynamical system, and it can be regarded as the...
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An ontology-based approach for develo** a harmonised data-validation tool for European cancer registration
BackgroundPopulation-based cancer registries constitute an important information source in cancer epidemiology. Studies collating and comparing data...
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Bifurcation and dynamic behavior analysis of a rotating cantilever plate in subsonic airflow
Turbo-machineries, as key components, have a wide utilization in fields of civil, aerospace, and mechanical engineering. By calculating natural...
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Analysis of a stochastic single species model with Allee effect and jump-diffusion
In this paper, we consider the effects of the small and abrupt random perturbations in the environment, and formulate a stochastic single species...
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Logical Foundations of Group Traffic Control of Trains
We show an application of the methods of mathematical logic to the design of a control system for group movement of trains for a railway station. We...
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Hecke Algebras of Normalizers of Parabolic Subgroups
In the context of Hecke algebras of complex reflection groups, we prove that the generalized Hecke algebras of normalizers of parabolic subgroups are...
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Application to the KPZ equation
We show how the theory of regularity structures can be used to build a robust solution theory for the KPZ equation. We also give a very short survey...
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Pathwise superhedging under proportional transaction costs
We prove a pathwise superhedging duality for multi-dimensional options in model-free discrete time market with proportional efficient frictions....
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Hilbert Problem 15 and Ritt-Wu Method (I)
Hilbert problem 15 requires to understand Schubert’s book. In this book, there is a theorem in §23, about the relation of the tangent lines from a...
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Basis Properties of the System of Root Functions of the Sturm–Liouville Operator with Degenerate Boundary Conditions: II
The spectral problem for the Sturm–Liouville operator with arbitrary complex-valued potential q ( x ) of the class L 1 (0, π ) and degenerate boundary...
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Nonlinear Boundary Value Problems
In this chapter, mainly we shall show the importance of the method of upper and lower solutions [6, 13, 22, 24] to nonlinear boundary value problems...
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Dynamic Games of International Pollution Control: A Selective Review
A differential game is the natural framework of analysis for many problems in environmental economics. This chapter focuses on the game of...