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5 papers · 2 filters
Variational principles in models of behavioral sciences
T. Q. Bao, B. S. Mordukhovich, A. Soubeyran
This paper develops some mathematical models arising in behavioral sciences, particularly in psychology, which are formalized via general preferences with variable ordering structu…
UAV Circumnavigation of an Unknown Target Without Location Information Using Noisy Range-based Measurements
Araz Hashemi, Yongcan Cao, David Casbeer +1
This paper proposes a control algorithm for a UAV to circumnavigate an unknown target at a fixed radius when the location information of the UAV is unavailable. By assuming that th…
Analyzing Convergence and Rates of Convergence of Particle Swarm Optimization Algorithms Using Stochastic Approximation Methods
Quan Yuan, George Yin
Recently, much progress has been made on particle swarm optimization (PSO). A number of works have been devoted to analyzing the convergence of the underlying algorithms. Neverthel…
Second-order growth, tilt stability, and metric regularity of the subdifferential
D. Drusvyatskiy, B. S. Mordukhovich, T. T. A. Nghia
This paper sheds new light on several interrelated topics of second-order variational analysis, both in finite and infinite-dimensional settings. We establish new relationships bet…
The Fermat-Torricelli Problem and Weiszfeld's Algorithm in the Light of Convex Analysis
Boris Mordukhovich, Nguyen Mau Nam
In the early 17th century, Pierre de Fermat proposed the following problem: given three points in the plane, find a point such that the sum of its Euclidean distances to the three…