Results 251 to 260 of about 814,209 (291)

Quadratic control systems

26th IEEE Conference on Decision and Control, 1987
In this article, we are studying, in small dimension control properties of a specific class of nonlinear systems, which occurs for instance in the attitude control problem of a rigid spacecraft.
B. Bonnard, H. Tebbikh
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Stability Analysis of Quadratic Systems

IFAC Proceedings Volumes, 1989
A n-order quadratic system is considered and an analysis of the domain of attraction of its origin is developed in the paper. The presented method selects a quadratic Lyapunov function V on the basis of the linear part of the system under study and of possible information about the field where such a system holds.
R. Genesio, A. Tesi
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Quadratic control systems

Mathematics of Control, Signals, and Systems, 1991
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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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Deformations of quadratic Diophantine systems

Izvestiya: Mathematics, 2001
Consider the matrix equation \(Q[X] = {^tX}QX = A\), where \(Q\) and \(A\) are positive definite symmetric integral matrices of order \(n\) and \(m\), respectively, and \(X\) ranges over the set of \(n\times m\) integer matrices. The author studies the relationship between solutions to this equation and corresponding equations \(K'[Y]=A''\) obtained by
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Error Bounds for Quadratic Systems

2000
In this paper we consider the problem of estimating the distance from a given point to the solution set of a quadratic inequality system. We show, among other things, that a local error bound of order 1/2 holds for a system defined by linear inequalities and a single (nonconvex) quadratic equality.
Luo, Z-Q, Sturm, J.F.
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Linear-Quadratic Systems

1997
Linear systems with a quadratic performance criterion attract the attention of many investigations for the following reasons: they describe many actual phenomena adequately enough; on the other hand, the corresponding optimal control problems, as a rule, can be completely solved analytically.
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Quantum Langevin equation: a quadratic system

Journal of Physics A: Mathematical and General, 1990
Summary: A system described by a quadratic Hamiltonian with a two-photon absorption and emission term is coupled to heat bath, described by either a non-Hermitian or a Hermitian noise operator. The dissipation kernel is memory dependent. A set of dispersion relations for the bath distribution functions is obtained.
Chakrabarti, R., Vasudevan, R.
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Quadratic Nonlinear Discrete Systems

2020
In this Chapter, the global stability and bifurcation of quadratic nonlinear discrete systems are discussed. Appearing and switching bifurcations of simple period-1 fixed-points are discussed. Period-1 and period-2 bifurcation trees with global stability are presented for forward and backward quadratic discrete systems.
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The Quadratic Criterion for Distributed Systems

SIAM Journal on Control, 1969
Abstract : 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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