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Investigation of Exponential Dichotomy of Itô Stochastic Systems by Using Quadratic Forms

Ukrainian Mathematical Journal, 2001
The author studies the stochastic Itô system \[ dx=A(t)x dt+\sum_{i=1}^{m}B_i(t)x dW_i(t).\tag{1} \] Here, \(A(t),B_1(t),\ldots,B_m(t)\) are deterministic matrices defined on the semi-axis \(t\geq 0\) and \(W_1(t),\ldots W_m(t)\) are totally independent scalar Wiener processes determined on a complete probability space \((\Omega,F,\text{P})\).
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Quadratic normal forms of nonlinear control systems with uncontrollable linearization

Proceedings of 1995 34th IEEE Conference on Decision and Control, 2002
The controller normal form of linear systems has been a useful tool for the study of many linear control problems. In Wei Kang and Krener (1992), Wei Kang (1991,1994), and Krener and Wei Kang (1991), normal forms of nonlinear control systems are found for linearly controllable systems. In this paper, the author addresses the problem of quadratic normal
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Deformations of Diophantine Systems for Quadratic Forms of the Root Lattices A n

Journal of Mathematical Sciences, 2006
The matrix equation \(Q[X] = {^tT}QT = A\) is studied, where \(Q\) and \(A\) are positive definite symmetric integral matrices of order \(n\) and \(m\), respectively, and \(T\) ranges over the set of \(n\times m\) integer matrices. When \(A = A' \oplus A''\), where the summands have squarefree and coprime determinants, a formula is found for the ...
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Representation of integers by a system of additive, positive quadratic forms

Journal of Soviet Mathematics, 1979
By the circle method, an asymptotic formula is obtained for the number of solutions of the system of equations $$\sum\limits_{j = 1}^s {q_{jk} x_j^2 = n_k } \left( {k = 1, \ldots ,2} \right)$$ , where qjk are given positive integers and nk are increasing ...
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Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems

Communications in Nonlinear Science and Numerical Simulation, 2015
Manuel A Duarte-Mermoud   +2 more
exaly  

Key issues surrounding the health impacts of electronic nicotine delivery systems (ENDS) and other sources of nicotine

Ca-A Cancer Journal for Clinicians, 2017
Jeffrey M Drope   +2 more
exaly  

Quadratic forms in normal RVs: theory and applications to OSTBC over hoyt fading channels

IEEE Transactions on Wireless Communications, 2008
Athanasios Rontogiannis   +2 more
exaly  

On Quadratic Bent Functions in Polynomial Forms

IEEE Transactions on Information Theory, 2007
Honggang Hu
exaly  

The explicit linear quadratic regulator for constrained systems

Automatica, 2002
Alberto Bemporad   +2 more
exaly  

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