The attitude tracking control problem of a rigid spacecraft with external disturbances is addressed using the concept of extended disturbance and the inverse optimal control method. The proposed attitude tracking control law is inverse optimal with respect to a meaningful cost functional and the associated Lyapunov function satisfies a HamiltonJacobi-Isaacs partial differential equation. Hence,...

In this paper, the Chebyshev spectral collocation method(CSCM) for one-dimensional linear hyperbolic telegraph equation is presented. Chebyshev spectral collocation method have become very useful in providing highly accurate solutions to partial differential equations. A straightforward implementation of these methods involves the use of spectral differentiation matrices. Firstly, we transform ...

The Solow model is an economic model to describe economic growth. In this thesis we will provide an extension to this model by introducing a space dimension into the model and a production function that is non-concave. Furthermore, we will consider different kinds of technological progress. The resulting model is governed by a semilinear parabolic partial differential equation which describes t...

chloride ion ingress in concrete is the main reason of concrete corrosion. in real world both uncertainty and stochasticity are main attributes of almost all measurements including testing and modeling of chloride content profile in concrete. regarding these facts new models should be able to represent at least some of the uncertainties in the predictions. in this paper after inspiration from c...

In optical tomography, conventionally the diffusion approximation (DA) to the radiative transport equation (RTE) with a constant refractive index is used. The existence, uniqueness, and non-uniqueness of the forward and the inverse problem using conventional DA has been studied in the past. In this report, we investigate the existence, uniqueness, and non-uniqueness of optical tomography forwar...

Über die statistische Beschreibung nichtstationärer Mobilfunkkanäle. In diesem Artikel wird die statistische Beschreibung von Mobilfunkkanälen behandelt, welche nicht die Annahme schwach stationärer unkorrelierter Streuer erfüllen. Besondere Beachtung hierbei findet die lokale Streufunktion. Die vorgestellten Methoden, welche besonders für schwach dispersive und schwach korrelierte Kanäle geeig...

We present a new dispersive analysis of the isospin breaking decay η → 3π. The resulting representation of the decay amplitude allows us to determine the quark mass double ratio Q and we find as a preliminary result Q = 22.3 ± 0.4. Finally, we discuss a number of improvements that we intend to implement in the future.

We consider the class of viscous-dispersive and higherorder conservation laws. We generalize the work of Kawashima & Shizuta, and others, by extending to higher-order the notions of symmetrizability, strict dissipativity, and genuine coupling. We prove, for symmetrizable systems, that strict dissipativity is equivalent to both (i) genuine coupling and (ii) the existence of a skewsymmetric compe...

Article history: Received 1 August 2010 Received in revised form 3 November 2010 Accepted 17 November 2010 Available online 27 November 2010