We consider the problem of achieving disturbance attenuation in the ES and integral-ES sense for nonlinear systems with bounded controls. For the ISS case we derive a “universal” formula which ext,ends an earlier result of Lin and Sontag to systems with disturbances. For the integral-ISS case we give two constructions, one resulting in a smooth control law and the other in a switching control l...

The path integral for higher-derivative quantum gravity with torsion is considered. Applying the methods of two-dimensional quantum gravity, this path integral is analyzed in the limit of conformally self-dual metrics. A scaling law for fixed-volume geometry is obtained.

We prove a Chung’s law of the iterated logarithm for recurrent linear Markov processes. In order to attain this level of generality, our normalization is random. In particular, when the Markov process in question is a diffusion, we obtain the integral test corresponding to a law of the iterated logarithm due to Knight.

What are the mechanisms by which behavior is organized sequentially over time? The recently developed mid-session reversal (MSR) task offers new insights into this fundamental question. The typical MSR task is arranged to have a single reversed discrimination occurring in a consistent location within each session and across sessions. In this task, we examine the relevance of time, reinforcement...

A time-varying feedback control law including integral action is developed for the control of an underactuated ship. Exponential stability is proved, and experimental results are presented.

background: pregnant women with previous gestational diabetes mellitus are at increased risk of progressive carotid artery disorders. the current study evaluated carotid intima-media thickness (imt) in pregnant women with gestational diabetes at two time points of mid-term and full-term pregnancy to determine whether gestational diabetes mellitus causes increased imt. methods: this cross-sectio...

Life nation and society in Indonesia must be based on dimensions of culture so that own value system (value system) is something life balance between the interests law, meaning creation law aims to guard interest whole like done by lawyers. Topic about How role advocate enforcement law? as well discuss analysis a for an become formula necessary problem discussed analyzed writing scientific this...

In this paper a new method for estimating the value of an improper integral by a finite sum is introduced. In particular, the method is applied to the Chi-Square integral and proves to be of some value in estimating the value of this integral for values equal or greater than .9. |