We consider nonlinear uncertain systems such that a priori information of the uncertainties is not available. For such systems, we assume that the upper bound of the uncertainties is represented as a Fredholm integral equation of the first kind and we propose an adaptation law that is capable of estimating the upper bound and design a continuous robust control which renders nonlinear uncertain ...

In this note, we obtain a Chung's integral test for self-normalized sums of i.i.d. random variables. Furthermore, we obtain a convergence rate of Chung law of the iterated logarithm for self-normalized sums.

The right to work and social security is one of the basic human rights recognized by international community. implementation these guarantees satisfaction socially significant needs - (fundamental physiological safety needs). Thus, a life development person, groups whole society are ensured. Guarantees for realization especially important in times instability lack confidence future, which large...

We present results of ultra-deep ISOCAM observations through a cluster-lens at 7μm and 15μm with the Infrared Space Observatory (ISO) satellite. These observations reveal a large number of luminous Mid-Infrared (MIR) sources. Crossidentification in the optical and Near-Infrared (NIR) wavebands shows that about half of the 7 μm sources are cluster galaxies. The other 7 μm and almost all 15 μm so...

Applying certain known theorems about one-dimensional periodic potentials, we show that the energy spectrum of the associated Lamé potentials a(a+ 1)m sn(x,m) + b(b+ 1)m cn(x,m)/dn(x,m) consists of a finite number of bound bands followed by a continuum band when both a and b take integer values. Further, if a and b are unequal integers, we show that there must exist some zero band-gap states, i...

We derive a generalization of the second law of thermodynamics that uses Bayesian updates to explicitly incorporate the effects of a measurement of a system at some point in its evolution. By allowing an experimenter's knowledge to be updated by the measurement process, this formulation resolves a tension between the fact that the entropy of a statistical system can sometimes fluctuate downward...

Most of the earthquake faults in North-East India, China, mid Atlantic-ridge, the Pacific seismic belt and Japan are found to be predominantly dip-slip in nature. In the present paper a dip-slip fault is taken situated in an elastic layer over a viscoelastic half space representing the lithosphere-asthenosphere system. A movement of the dip-slip nature across the fault occurs when the accumulat...

This paper considers the integral-input-to-state stabilization of a class of switched nonlinear systems, which consist of integral-input-to-state stable (IISS) subsystems and subsystems whose continuous states may eventually be unbounded even if integrals of the corresponding inputs are small. In general, a switched controller has two parts: local controllers for subsystems and their switching ...