Global control is extended to uncertain power systems to maintain the transient stability and achieve proper post-fault voltage. The power system is first decomposed into several partial models according to different control objectives and operating stages. Then the direct feedback linearization (DFL) technique is applied to linearize the partial nonlinear models and robust partial controllers ...

In this short note, we investigate simultaneous recovery inverse problems for semilinear elliptic equations with partial data. The main technique is based on higher order linearization and monotonicity approaches. With these methods at hand, can determine the diffusion, cavity coefficients simultaneously by knowing corresponding localized Dirichlet-Neumann operators.

The purpose of this paper is to design and analyze feedback control laws achieving output linearization for wheeled mobile robots models taking into account small slipping effects at the wheel/ground contact point. We discuss the existence and attractivity of the slow manifold associated to any feedback control, and we show the existence of a feedback control law that achieves output linearizat...

In this paper, we consider the set partitioning polytope and we begin by applying the reformulation-linearization technique of Sherali and Adams (1990, 1994) to generate a specialized hierarchy of relaxations by exploiting the structure of this polytope. We then show that several known classes of valid inequalities for this polytopc, as well as related tightening and composition rules, are auto...

The gene order on a chromosome is a necessary data for most comparative genomics studies, but in many cases only partial orders can be obtained by current genetic mapping techniques. The Minimum Breakpoint Linearization Problem aims at constructing a total order from this partial knowledge, such that the breakpoint distance to a reference genome is minimized. In this paper, we first expose a fl...

Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear systems of differential equations, whether partial or ordinary. Of special interest is the procedure that Lie developed to transform scalar nonlinear second-order ordinary differential equations to linear form. Not much work was done in this direction to start with, but recently there have been various ...

<p style='text-indent:20px;'>We study the well-posedness of a semi-linear fractional diffusion equation and formulate an associated inverse problem. We determine power type nonlinearities from exterior partial measurements Dirichlet-to-Neumann map. Our arguments are based on first order linearization as well parabolic Runge approximation property.</p>

Linearization technologies that can be used for linearizing RoF transmission are reviewed. Three main linearization methods, i.e. electrical analog linearization, optical linearization, and electrical digital linearization are presented and compared. Analog linearization can be achieved using analog predistortion circuits, and can be used for suppression of odd order nonlinear distortion compon...

This work investigates the position control of an underactuated mechatronic system for straight needle insertions in soft tissues. The consists a pneumatic cylinder pushing slender supported at base and subject to external forces tip due interactions with dynamics is described by rigid-link model controller design purposes. main contribution this new energy shaping law that: (i) does not rely o...

The connection between symmetries and linearizations of discrete-time dynamical systems is being inverstigated. It is shown, that existence of semigroup structures related to the vector field and having linear representations enables reduction of linearization problem to a system of first order partial differential equations. By means of inverse of the Poincaré map one can relate symmetries in ...