منابع مشابه
Applications of quadratic D-forms to generalized quadratic forms
In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.
متن کاملLinear-quadratic Control and Quadratic Differential Forms
We consider the infinite time linear-quadratic control problem from a behavioral point of view. The performance functional is the integral of a quadratic differential form. A characterization of the stationary trajectories and of the local minima with respect to (left) compact support variations, as well as their relation to stability, are obtained. Finally, several theorems are derived that de...
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چکیده ندارد.
15 صفحه اولLinear Systems of Real Quadratic Forms
1. It is natural to consider invariantive properties of ¿-dimensional linear systems of real quadratic forms over Rn (or quadratic forms over Rn with values in Rk, 2SkS\n(n + l)), because of the occurrence of such objects at least in the following contexts: in the second fundamental form of classical differential geometry for ra-dimensional manifolds differentiably imbedded in an (n+k)-space, a...
متن کاملLinear-quadratic control and quadratic differential forms for multidimensional behaviors
This paper deals with systems described by constant coefficient linear partial differential equations (nD-systems) from a behavioral point of view. In this context we treat the linear quadratic control problem where the performance functional is the integral of a quadratic differential form. We look for characterizations of the set of stationary trajectories and of the set of local minimal traj...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1943
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1943-07925-6