Results 21 to 30 of about 679,323 (292)

Quadratic Dynamical Systems and Algebras

open access: yesJournal of Differential Equations, 1995
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.
openaire   +1 more source

Linear quadratic power control for CDMA systems

open access: yesJournal of Telecommunications and Information Technology, 2003
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
doaj   +1 more source

New asymptotically quadratic conditions for Hamiltonian elliptic systems

open access: yesAdvances in Nonlinear Analysis, 2021
This paper is concerned with the following Hamiltonian elliptic ...
Liao Fangfang, Zhang Wen
doaj   +1 more source

Contractions of Degenerate Quadratic Algebras, Abstract and Geometric [PDF]

open access: yes, 2017
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
core   +1 more source

Multivariate moment-matching for model order reduction of quadratic-bilinear systems using error bounds

open access: yesAdvanced Modeling and Simulation in Engineering Sciences, 2022
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
doaj   +1 more source

Systems of quadratic diophantine inequalities [PDF]

open access: yesJournal de théorie des nombres de Bordeaux, 2008
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.
openaire   +2 more sources

The Model and Quadratic Stability Problem of Buck Converter in DCM

open access: yesMATEC Web of Conferences, 2016
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
doaj   +1 more source

A method for computing quadratic Brunovsky forms

open access: yes, 2005
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
core   +3 more sources

Quadratic Poisson algebras for two dimensional classical superintegrable systems and quadratic associative algebras for quantum superintegrable systems

open access: yes, 2000
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.
core   +1 more source

Quantum Caustics for Systems with Quadratic Lagrangians [PDF]

open access: yes, 1998
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
core   +3 more sources

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