Results 251 to 260 of about 306,107 (293)

APPLICATIONS OF SYSTEMS OF QUADRATIC FORMS TO GENERALISED QUADRATIC FORMS

Bulletin of the Australian Mathematical Society, 2020
A system of quadratic forms is associated to every generalised quadratic form over a division algebra with involution of the first kind in characteristic two. It is shown that this system determines the isotropy behaviour and the isometry class of generalised quadratic forms.
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Extended normal forms of quadratic systems

29th IEEE Conference on Decision and Control, 1990
A set of extended quadratic controller normal forms of linearly controllable systems with single input is given. These normal forms are considered as the extension of the form due to P. Brunovsky (1970) to the nonlinear systems. It is proved that, given a nonlinear system, there exists a dynamic feedback so that the extended system has a linear ...
A.J. Krener, W. Kang
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Quadratic form of stable sub‐manifold for power systems

International Journal of Robust and Nonlinear Control, 2004
AbstractThe stable sub‐manifold of type‐1 unstable equilibrium point is fundamental in determining the region of attraction of a stable working point for power systems, because such sub‐manifolds form the boundary of the region (IEEE Trans. Automat. Control 1998; 33(1):16–27; IEEE Trans. Circuit Syst. 1988; 35(6):712–728).
Cheng, Daizhan, Ma, Jin, Lu, Qiang, Mei, Shengwei   +3 more
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Systems of rational quadratic forms

Archiv der Mathematik, 2004
Let \(Q_1,\dots, Q_r\in\mathbb{Q}[X_1,\dots, X_s]\) be quadratic forms. It was shown by \textit{W. M. Schmidt} [Theorie des nombres, Semin. Delange-Pisot-Poitou, Paris 1980--81, Prog. Math. 22, 281--307 (1982; Zbl 0492.10017)] that the number of simultaneous integral solutions of size at most \(p\) is \(cP^{s-2r}+ o(P^{s-2r})\) providing that every ...
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Systems of quadratic Diophantine inequalities and the value distribution of quadratic forms

Monatshefte für Mathematik, 2007
Let \(Q_1(x),\ldots,Q_r(x)\) be quadratic forms in \(s\) variables with real coefficients. The principal purpose of this paper is to study distribution of \((Q_1(x),\ldots,Q_r(x))\) in \({\mathbb R}^r\) for \(x\in{\mathbb Z}^s\). Fix a bounded star shaped body \(\Omega\subset{\mathbb R}^s\) which contains the origin as an inner point and an \(r ...
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Deformations of Diophantine Systems for Quadratic Forms of the Cubic Lattices

Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quadratic stability of process systems in generalized lotka-volterra form

IFAC Proceedings Volumes, 2004
Abstract The global and local stability of process systems in generalized Lotka-Volterra form is studied in this paper using entropy-like and quadratic Lyapunov function candidates. The global stability check for LV models is performed by solving an LMI for a diagonal positive semi-definite matrix using singular perturbation technique.
A. Magyar, G. Szederkényi, K.M. Hangos
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On the zeta-functions of systems of quadratic forms

Mathematical Notes of the Academy of Sciences of the USSR, 1976
We prove that the zeta-function of m variables of a system of m positive-definite quadratic forms has a meromorphic analytic continuation onto the whole m-dimensional complex space.
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Systems Of Quadratic Forms Over Local Fields.

1969
PhD ; Mathematics ; University of Michigan, Horace H. Rackham School of Graduate Studies ; http://deepblue.lib.umich.edu/bitstream/2027.42/179958/2/7014638 ...
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Linear Spaces on the Intersection of Two Quadratic Hypersurfaces, and Systems of p-adic Quadratic Forms

Monatshefte für Mathematik, 2005
Let \(\beta_p(r;m)\) be the least positive integer with the property that the intersection of any \(s > \beta_p(r;m)\) quadrics over the field of \(p-\)adic numbers admits a linear space of projective dimension \(m\). The author proves that \(\beta_p(2;m) \leq 10 + 2m\) for \(p \neq 2\), and \(\beta_p(4;m) \leq 30 + 4m\) for \(p \neq 2\). This improves
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