The Boyer-Finley equation, or SU(∞)-Toda equation is both a reduction of the self-dual Einstein equations and the dispersionless limit of the 2d-Toda lattice equation. This suggests that there should be a dispersive version of the self-dual Einstein equation which both contains the Toda lattice equation and whose dispersionless limit is the familiar self-dual Einstein equation. Such a system is...

The Boyer-Finley equation, or SU (∞)-Toda equation is both a reduction of the self-dual Einstein equations and the dispersionless limit of the 2d-Toda lattice equation. This suggests that there should be a dispersive version of the self-dual Einstein equation which both contains the Toda lattice equation and whose dispersionless limit is the familiar self-dual Einstein equation. Such a system i...

Abstract - This paper presents a new design of microwave microelectromechanical systems (MEMS) phase shifter for dual band wireless local area network (WLAN) applications. A bit is designed which product a constant phase shift of 11.25° by switching between two line that consist of 12 and 6 unitcells in each frequency band. A unitcell is constructed by gold membrane suspended over the coplanar ...

In this paper we prove that there exists a smooth classical solution to the HJB equation for a large class of constrained problems with utility functions that are not necessarily differentiable or strictly concave. The value function is smooth if the optimal control satisfies an exponential moment condition or if the value function is continuous on the closure of its domain. The key idea is to ...

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A three-dimensional representation of rigid body dynamic equations becomes possible by introducing the dual inertia operator. This paper generalizes this result and by using motor transformation rules and the dual inertia operator, gives a general expression for the three-dimensional dynamic equation of a rigid body with respect to an arbitrary point. Then, the dual Lagrange equation is formula...

in this paper we nd solution of linear interval equation in dual form based on the generalizedprocedure of interval extension which is called interval extended zero method.moreover, proposed method has signicant advantage, is that it substantially decreasesthe excess width eect.

We present and discuss the definition of the adjoint and dual of a switched differential-algebraic equation. Based on this definition, we prove duality between controllability/reachability and determinability/observability for switched differential-algebraic equations. The switched system is viewed as a (linear) time-varying system, i.e. the switching signal is assumed to be fixed. In particula...