Abstract: This paper gives some sufficient conditions for a given polyhedral set which is represented as a set of linear inequalities to be positive D-invariant for uncertain linear discrete-time systems in the case such that the systems matrices depend linearly on uncertain parameters whose ranges are given intervals. Further, the results will be applied to uncertain linear continuous systems ...

We are developing a visually-guided autonomous underwater vehicle. We have implemented a computed torque controller, using Euler parameters, for position and velocity control. This formulation eliminates singularity in the model and controller and offers some degrees of coupling between vehicle degrees of freedom. A calibrated thruster model which computes thrust output from measured voltage an...

with x ∈ SU(2). The j1, j2, j3 are half integers and m1 = −j1, −j1 + 1, . . . , j1, etc. Obviously Eq. (1) depends on the explicit choice of the representations R(j). As usual we use Euler parameters to parameterize SU(2) and choose representations that are diagonal in the first and the third rotation: R mm′ (α, β, γ) = exp ( imα+ imγ ) djmm′ (β) , (2) DIAS, 10 Burlington Rd., Dubin 4, Ireland ...

In many practical problems, we need to find the most appropriate function: e.g., we need to find a control strategy u(t) that leads to the best performance of a system, we need to find the shape of the car which leads to the smallest energy losses, etc. Optimization over an unknown function can be described by the known Euler-Lagrange equations. The traditional way of deriving Euler-Lagrange eq...

there are many occasions where the base of a robotic manipulator is attached to a moving platform, such as on a moving ship, terrain or space shuttle. in this paper a dynamic model of a robotic manipulator mounted on a moving base is derived using both newton-euler and lagrange-euler methods. the presented models are simulated for a mitsubishi pa10-6ce robotic manipulator characteristics mounte...

The main purpose of this paper is to present a systemic study of some families of multiple q-Euler numbers and polynomials. In particular, by using the q-Volkenborn integration on Zp, we construct p-adic q-Euler numbers and polynomials of higher order. We also define new generating functions of multiple q-Euler numbers and polynomials. Furthermore, we construct Euler q-Zeta function.

We describe in brief some aspects of the Langlands program, focussing on Euler products, and also some new constructions, where Euler products are replaced by twisted Euler products. The twisted Euler products are related to automorphic forms on metaplectic groups. 2000 Mathematics Subject Classification: 11F66, 11F55, 11F70, 11M41, 22E55.

1 Euler Characteristics and Infinitesimal Characters 4 1.1 The unitary duals of SL2(R) and SL4(R) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Euler characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.3 Euler-Poincaré functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.4 Euler characteristics in t...

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