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Generators, Relations and Groebner basis(Algebraic Manipulation for Differential Equations)

open access: yesGenerators, Relations and Groebner basis(Algebraic Manipulation for Differential Equations)
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Computing mobility condition using Groebner basis

Mechanism and Machine Theory, 2015
A mechanism is a set of rigid links interconnected together with ideal joints and featuring at least one degree of freedom. An overconstrained mechanism is mobile provided the links' dimensions fulfill a certain relation named the “mobility condition”. The dimensions are not independent from each other and the goal is to obtain this mobility condition.
Rameau, Jean-François, Serré, Philippe
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Groebner basis, resultants and the generalized Mandelbrot set

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Geum, Young Hee, Hare, Kevin G.
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Computation of Time Optimal Feedback Control Using Groebner Basis

IEEE Transactions on Automatic Control, 2014
The synthesis of time optimal feedback control of a single input continuous time linear time invariant (LTI) system is considered. If the control input u(t) is constrained to obey |u(t)| ≤ 1, then it is known that the optimal input switches between the extreme values ±1, according to some “switching surfaces” in the state space.
PATIL, DU, CHAKRABORTY, D
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