Results 21 to 30 of about 679,323 (292)
Quadratic Dynamical Systems and Algebras
It was observed by \textit{L. Markus} [Ann. Math. Stud. 45, 185-213 (1960; Zbl 0119.298)] that one can assign to every differential equation \(\dot x = Q(x)\) in \(\mathbb{R}^n\) with homogeneous quadratic \(Q\) a commutative, nonassociative algebra whose product is defined by \(xy = {1\over 2} (Q(x + y) - Q(x) - Q(y))\).
Kinyon, M.K., Sagle, A.A.
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Linear quadratic power control for CDMA systems
In this paper, we present a robust decentralized method for jointly performing channel estimation and closed loop power control for the reverse link of CDMA networks. Our method, based on linear quadratic Gaussian (LQG) control systems theory and Kalman
Michael David Anderson +1 more
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New asymptotically quadratic conditions for Hamiltonian elliptic systems
This paper is concerned with the following Hamiltonian elliptic ...
Liao Fangfang, Zhang Wen
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Contractions of Degenerate Quadratic Algebras, Abstract and Geometric [PDF]
Quadratic algebras are generalizations of Lie algebras which include the symmetry algebras of 2nd order superintegrable systems in 2 dimensions as special cases.
Miller Jr., Willard +2 more
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We propose an adaptive moment-matching framework for model order reduction of quadratic-bilinear systems. In this framework, an important issue is the selection of those shift frequencies where moment-matching is to be achieved.
Muhammad Altaf Khattak +3 more
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Systems of quadratic diophantine inequalities [PDF]
Let Q 1 ,⋯,Q r be quadratic forms with real coefficients. We prove that for any ϵ>0 the system of inequalities |Q 1 (x)|<ϵ,⋯,|Q r (x)|<ϵ has a nonzero integer solution, provided that the system Q 1 (x)=0,⋯,Q r (x)=0 has a nonsingular real solution and all forms in the real pencil generated by Q 1 ,⋯,Q r are irrational and have rank >8r.
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The Model and Quadratic Stability Problem of Buck Converter in DCM
Quadratic stability is an important performance for control systems. At first, the model of Buck Converter in DCM is built based on the theories of hybrid systems and switched linear systems primarily.
Li Xiaojing, Wu Aiguo
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A method for computing quadratic Brunovsky forms
In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J.
Jin, Wen-Long
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The integrals of motion of the classical two dimensional superintegrable systems with quadratic integrals of motion close in a restrained quadratic Poisson algebra, whose the general form is investigated.
Daskaloyannis, C.
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Quantum Caustics for Systems with Quadratic Lagrangians [PDF]
We study caustics in classical and quantum mechanics for systems with quadratic Lagrangians. We derive a closed form of the transition amplitude on caustics and discuss their physical implications in the Gaussian slit (gedanken-)experiment.
Berry +24 more
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