<p style='text-indent:20px;'>This paper recalls a partial differential equations system, which is the linearization of recognized fluid-elasticity interaction three-dimensional model. A collection regularity results for traces fluid variable on interface between body and established, in case suitable boundary dissipation present. These estimates are geared toward ensuring well-posedness R...

In this paper we present the Semantic Tree Unification Grammar (STUG) which is a new formalism for parsing spoken language. The main motivation of this formalism is the combination of the robustness and simplicity of the classical semantic grammar to the deepness of the traditional syntactic formalisms. The key properties of STUG are: the direct linearization of the semantic structure, an econo...

Bellman’s dynamic programming equation for the optimal index and control law for stochastic control problems is a parabolic or elliptic partial differential equation frequently dejhed in an unbounded domain. Ezi.sting methods of solution require bounded domain approximations, the application of singular perturbation techniques or Monte Carlo simulation procedures. In this paper, usin,q the fact...

This paper deals with the model predictive control of processes. The new step is the use of a distributed parameter system instead of a lumped parameter system. The internal model control structure is also used to solve the trajectory tracking problem. The internal model is obtained from the linearization of the initial set of nonlinear partial differential equations about the desired trajector...

We investigate the integrability of Nonlinear Partial Differential Equations (NPDEs). The concepts are developed by firstly discussing the integrability of the KdV equation. We proceed by generalizing the ideas introduced for the KdV equation to other NPDEs. The method is based upon a linearization principle which can be applied on nonlinearities which have a polynomial form. We illustrate the ...

Gaussian beams are approximate solutions to hyperbolic partial differential equations that are concentrated on a curve in space-time. In this paper, we present a method for computing the stationary in time wave field that results from steady air flow over topography as a superposition of Gaussian beams. We derive the system of equations that governs these mountain waves as a linearization of th...

This paper presents a nonlinear controller design for a DSTATCOM connected to a distribution network with distributed generation (DG) to regulate the line voltage by providing reactive power compensation. The controller is designed based on the partial feedback linearization which transforms the nonlinear system into a reduced-order linear system and an autonomous system whose dynamics are know...

This paper considers the problem of a nonlinear L2-disturbance rejection design for a laboratory twin-rotor system. Since the rotor blades present fixed angle of attack, control is achieved by using the rotor speeds as control variables. This mechanical device features highly nonlinear strongly coupled dynamics. The control is developed considering a reduced order model of the rotors obtained b...

The traditional feedback linearization method often requires the full system parameter and state information. In this paper, we consider an asymptotic stabilization problem of a class of feedback linearizable nonlinear systems by using less than the full parameter/state information. First, our approach is to classify system parameters into two categories — ‘directly used parameters’ and ‘indire...