Stable inversion is a completely new approach to the output tracking control of nonminimum phase nonlinear systems. It not only offers exact reproduction of a given reference output trajectory but also guarantees stability of all external and internal signals. After a brief review of the stable inversion problem, the paper establishes a finite energy property of stable inverses. That is, out of...

We have developed a Bayesian model to invert spectral induced-polarization SIP data for Cole-Cole parameters using Markov-chain Monte Carlo MCMC sampling methods. We compared the performance of the MCMC-based stochastic method with an iterative Gauss-Newton-based deterministic method for Cole-Cole parameter estimation through inversion of synthetic and laboratory SIP data. The Gauss-Newton-base...

In this papcr, we prcscmt a stochastic dcconvolution mcthod for a class of invcrsc prr,hlemr that arc naturdly fomulatcd as p q ronwlutiom. Kanmplcs of such problcms includc Radon transform inversion for tcmography, radar and smar imsging, 3 s wcll as channcl cstimtion in communicatinns. Key componcnts of ow appmach BCC group reprcsmation thcor). and thc conccpt of group stntiooaritl.. Wc formu...

If the chemical guanidine hydrochloride is added to a dividing culture of yeast cells that carry a yeast prion, the proportion of cells that have the prion gradually decreases over time. Stochastic models to describe this process of ‘curing’ have been developed in earlier work. The present paper investigates the use of numerical Laplace inversion methods to calculate curing curves and contrasts...

We tackle the challenge of learning part-ofspeech classified translations as part of an inversion transduction grammar, by learning translations for English words with known part-of-speech tags, both from existing translation lexica and from parallel corpora. When translating from a low resource language into English, we can expect to have rich resources for English, such as treebanks, and smal...

Measuring particle size distribution through calculating light scattering intensity is a typical inverse problem. This paper builds an inverse mathematical model based on Mie scattering, deduces the inversion formulas for particle size, and calculates the relative coefficients through programming with built-in functions in MATLAB. In order to improve the accuracy and noise immunity of particle ...

Joint inversions are now commonly used in the earth sciences. They have been developed to better understand the structure of the earth, since they provide more constraints on the inverted parameters. We propose a new process to simultaneously invert several data sets in order to better image 3D crustal and upper mantle structures. Our inversion uses three kinds of data that present good complem...