At the height of Europe’s Enlightenment, one man illuminated mathematics like never before — even as darkness claimed his sight. Leonhard Euler unified entire branches of science through logic, ...

Mathematicians have been mystified by ocean waves for centuries. But new research could be a very large step in the wave prediction world.

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The math behind even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major ...

Abstract: This paper presents the structure of the four-legged robot (Mini-Bot), dynamical equation of the multibody system, numerical results for the generation of the positions of each leg in the ...

Abstract: This paper investigates a novel adaptive fault-tolerant guaranteed performance control problem for Euler-Lagrange systems subject to unknown actuator faults. Firstly, a barrier Lyapunov ...

Abstract: Haze concentration variation challenges traditional dehazing methods in accurately estimating atmospheric haze. Conventional techniques can result in over-smoothed images and visible ...

Abstract: This brief investigates the predefined-time bipartite time-varying formation tracking (PTBTVFT) problem of Euler-Lagrange systems (ELSs) with external disturbances under a signed digraph, ...

Abstract: This article first proposes a distributed reduced-order observer to estimate the complete state information of leader system. Particularly, the proposed observer only supposes those ...