Quadrotor unmanned aerial vehicle control is critical to maintain flight safety and efficiency, especially when facing external disturbances and model uncertainties. This article presents a robust reinforcement learning control scheme to deal with these challenges.
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Observer for differential inclusion systems with incremental quadratic constraints
International Journal of Systems Science, 2020This paper studies an exponential observer design method for a kind of differential inclusion systems.
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On the Conditions of a Center and General Integrals of Quadratic Differential Systems
Acta Mathematica Sinica, English Series, 2001Consider the differential system \((*) \;dx/dt =-y + lx^2 + mxy + ny^2, \;dy/dt = x(1+a_1 x + b_1 y).\) It is well-known that \(x=y=0\) is a center if at least one of three sets of conditions on the coefficients of \((*)\) is satisfied. The authors prove that in two of these sets of conditions \((*)\) has a first integral.
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THE GEOMETRY OF QUADRATIC DIFFERENTIAL SYSTEMS WITH A WEAK FOCUS OF SECOND ORDER
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2006Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers were written on these systems, a complete understanding of this class is still missing. Classical problems, and in particular, Hilbert's 16th problem [Hilbert, 1900, 1902], are still open for this class.
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