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The local fundamental group of a Kawamata log terminal singularity is finite
We prove a conjecture of Kollár stating that the local fundamental group of a klt singularity x is finite. In fact, we prove a stronger statement,...
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Robust Nonsingular Fixed Time Terminal Sliding Mode Control for Atmospheric Pollution Detection Lidar Scanning Mechanism
A robust nonsingular fixed time terminal sliding mode control scheme with a time delay disturbance observer is proposed for atmospheric pollution...
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Reading the log canonical threshold of a plane curve singularity from its Newton polyhedron
There is a proposition due to Kollár as reported by Kollár (Proceedings of the summer research institute, Santa Cruz, CA, USA, July 9–29, 1995,...
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Small Amplitude Periodic Orbits in Three-Dimensional Quadratic Vector Fields with a Zero-Hopf Singularity
We consider some families of three-dimensional quadratic vector fields having a fixed zero-Hopf equilibrium. We are interested in the bifurcation of...
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Blow-ups of Three-dimensional Toric Singularities
The purely log terminal blow-ups of three-dimensional terminal toric singularities are described. The three-dimensional divisorial contractions...
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Asymptotics of a Solution to an Optimal Control Problem with a Terminal Convex Performance Index and a Perturbation of the Initial Data
In this paper, we investigate a problem of optimal control over a finite time interval for a linear system with constant coefficients and a small...
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When Is a Complete Ideal in a Rational Surface Singularity a Multiplier Ideal?
This is an extended abstract with some of the results that will appear in the forthcoming paper [1] in which we characterize when a given complete...
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Sufficient Conditions for Terminal Invariance of Stochastic Jump Diffusion Systems
Sufficient conditions for the terminal invariance of nonlinear dynamic stochastic controlled systems (jump diffusions) are formulated and proved. The...
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Terminal Invariance of Quasi-Linear Stochastic Diffusion Systems That Are Nonlinear in Control Variable
The terminal invariance conditions for stochastic diffusion systems established earlier are concretized for the class of quasi-linear systems that...
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Singularities of Pluri-Fundamental Divisors on Gorenstein Fano Varieties of Coindex 4
Let X be a Gorenstein canonical Fano variety of coindex 4 and dimension n with H fundamental divisor. Assume...
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Systematic Search for Singularities in 3D Euler Flows
We consider the question whether starting from a smooth initial condition 3D inviscid Euler flows on a periodic domain may develop singularities in a...
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A Practical Predefined-Time Stability Criterion and Its Application to Uncertain Nonlinear Systems
In this paper, the singularity-free predefined-time fuzzy adaptive tracking control problem is studied for non-strict feedback (NSF) nonlinear...
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Jet Schemes and Their Applications in Singularities, Toric Resolutions and Integer Partitions
After a brief introduction to jet schemesJet schemes, this article surveys their applications in singularity theory (Nash problemNashproblem, motivic...
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Terminal Control Algorithm for a Nonlinear System with Phase Constraints
We consider a terminal control problem for an underactuated nonlinear control system with phase constraints. The control is sought by the...
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Efficient Numerical Scheme for Generalized Black–Scholes Equations on Piecewise Uniform Shishkin-Type Mesh
In this paper, we propose numerical techniques for solving generalized Black–Scholes partial differential equations. The proposed numerical method is...
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Higher Genus Maxfaces with Enneper End
We have proven the existence of new higher-genus maxfaces with Enneper end. These maxfaces are not the companions of any existing minimal surfaces,...
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Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I
We classify some special classes of nonrational Fano threefolds with terminal singularities. In particular, all such hyperelliptic and trigonal...
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Design of Fixed-Time Neural Controller for Uncertain Nonstrict-Feedback Systems with Smooth Switching Functions
The tracking problem of uncertain nonstrict-feedback nonlinear systems (UNFNS) is examined to develop a novel adaptive neural control scheme to...