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Proceedings., 33rd Annual Symposium on Foundations of Computer Science, 1992
The paper promotes the study of computational aspects, primarily the convergence rate, of nonlinear dynamical systems from a combinatorial perspective. The authors identify the class of symmetric quadratic systems. Such systems have been widely used to model phenomena in the natural sciences, and also provide an appropriate framework for the study of ...
Y. Rabinovich, A. Sinclair, A. Wigderson
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The paper promotes the study of computational aspects, primarily the convergence rate, of nonlinear dynamical systems from a combinatorial perspective. The authors identify the class of symmetric quadratic systems. Such systems have been widely used to model phenomena in the natural sciences, and also provide an appropriate framework for the study of ...
Y. Rabinovich, A. Sinclair, A. Wigderson
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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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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, 1989A 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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Mathematics of Control, Signals, and Systems, 1991
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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APPLICATIONS OF SYSTEMS OF QUADRATIC FORMS TO GENERALISED QUADRATIC FORMS
Bulletin of the Australian Mathematical Society, 2020A 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, 2001Consider 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
2000In 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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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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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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