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The Quadratic Criterion for Distributed Systems
SIAM Journal on Control, 1969Abstract : The article explores the applicability of the quadratic criterion of optimality to the control of distributed parameter systems or, alternatively, to differential equations in a Hilbert space. It is shown that such application is indeed possible and, perhaps more important from the engineering point of view, that the optimal controls thus ...
Lukes, D. L., Russell, D. L.
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Two Dimensional Homogeneous Quadratic Differential Systems
SIAM Review, 1978The two-dimensional quadratic differential system (QDS) \[ \begin{gathered} \dot x = a_1 x^2 + b_1 xy + c_1 y^2 , \hfill \\ \dot y = a_2 x^2 + b_2 xy + c_2 y^2 \hfill \\ \end{gathered} \] where $( \cdot ) = {d} / {dt}$ and the coefficients are real constants is considered.
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Quadratic Residue Number Systems
2002Complex signal processing can be handled by RNS in a manner similar to standard complex number operations such as addition, subtraction, multiplication etc. However, under certain special cases of choice of moduli, the complete decoupling of computation of real and imaginary parts of the result is feasible.
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Journal of Automation and Information Sciences, 2013
Irada A. Dzhalladova +1 more
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Irada A. Dzhalladova +1 more
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