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Symmetric discontinuous Galerkin approximations of waves: high frequency propagation and control
(2014-12-31)
This work describes the propagation properties of the so-called symmetric interior penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. This is done by means of linear approximations on uniform ...
Optimal sensor location for wave and Schrödinger equations
(2014-12-31)
This paper summarizes the research we have carried out recently on the problem of the optimal location of sensors and actuators for wave equa- tions, which has been the object of the talk of the third author at the Hyp2012 ...
Optimal shape and location of sensors or actuators in PDE models
(2014-12-31)
We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schrödinger ...
Robust ‚H-2 static output feedback to control an automotive throttle valve
(2014-12-31)
The paper presents a control strategy for an automotive electronic throttle body, a device largely used into vehicles to increase the efficiency of the combustion engines. The synthesis of the proposed controller is based ...
A note on complete hyperbolic operators with log-Zygmund coefficients
(2014-12-31)
The present paper is the continuation of the recent work [7], and it is devoted to strictly hyperbolic operators with non-regular coefficients. We focus here on the case of complete operators whose second-order coefficients ...
Robust null controllability for heat equations with unknown switching control mode
(2014-12-31)
We analyze the null controllability for heat equations in the presence of switching controls. The switching pattern is a priori unknown so that the control has to be designed in a robust manner, based only on the past ...
A Hyperbolic system and the cost of the controllability for the Stokes system
(2014-12-31)
This paper is devoted to study the cost of the null controllability for the Stokes system. Using the control transmutation method, we show that the cost of driving the Stokes system to rest at time $T$ is of order $e^{CIT} ...
Mode-independent H2-control of a DC motor modeled as a Markov jump linear system
(2014-12-31)
This brief presents a control strategy for Markov jump linear systems (MJLS) with no access to the Markov state (or mode). The controller is assumed to be in the linear state-feedback format and the aim of the control ...
On the exact controllability of hyperbolic magnetic Schrödinger equations
(2014-12-31)
In this paper, we address the exact controllability problem for the hyperbolic magnetic Schrödinger equation, which plays an important role in the research of electromagnetics. Typical techniques, such as Hamiltonian ...
A functional limit theorem for stochastic integrals driven by a time-changed symmetric sigma-stable Levy process
Scalas, E.
; Viles, N. (2014-12-31)
; Viles, N. (2014-12-31)
Under proper scaling and distributional assumptions, we prove the convergence in the Skorokhod space endowed with the $M_1$-topology of a sequence of stochastic integrals of a deterministic function driven by a time-changed ...