In this paper we deal with some finite-time control problems for discretetime, time-varying linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov inequality. Then we address the design problem. The proposed condit...

A class of control systems, modeled as a finite set of differential equations with parameters uncertainty and with sector bounded nonlinearities is considered. Each model of this family describes the individual mode (or regime) of the system. The transitions between these modes are described by a homogeneous Markov chain. At the moment of discontinuous mode change the state vector can be change...

In the present investigation, we deal with the reliability characteristics of a repairable system consisting of two independent operating units, by incorporating the coverage factor. The probability of the successful detection, location and recovery from a failure is known as the coverage probability. The reboot delay and common cause shock failure are also considered. The times to failure of t...

The Trusted Platform Module TPM is a basic but nevertheless very complex security component that can provide the foundations and the root of security for a variety of applications. In contrast to the TPM, other basic security mechanisms like cryptographic algorithms or security protocols have frequently been subject to thorough security analysis and formal verification. This paper presents a fi...

The major human errors that have proven to be key factors in 80 to 90% of all traffic accidents include “distraction,” taking one’s eyes off the road while driving; “inattentiveness,” switching one’s consciousness from driving to other things; and “false perception” causing recognition mistakes in traffic due to visual illusions. To study human errors causing traffic accidents we evaluated evas...

This paper proposes a computationally efficient method of solving evaluation problem of Hidden Markov Model (HMM) with a given set of discrete observation symbols, number of states and probability distribution matrices. The observation probability for a given HMM model is evaluated using an approach in which the probability evaluation is reduced to the problem of evaluating the product of matri...

In this paper we describe a graph-spectral method for 3D surface segmentation from 2D imagery. The method locates patches by finding groups of pixels that can be connected using a curvature minimising path. The path is the steady state Markov chain on transition probability matrix. We provide two methods for computing this matrix. The first uses information provided by the field of surface norm...

It is known that the second dominant eigenvalue of a matrix determines the convergence rate of the power method. Though ineffective for general eigenvalue computation, the power method has been of practical usage for computing the stationary distribution of a stochastic matrix. For a Markov chain with memory m, the transition “matrix" becomes an order-m tensor. Under suitable assumptions, the s...

Introduction: The rapid urbanization coupled with industrial development in Indian cities has led to air pollution that causes adverse effects on the health of human beings. So, it is crucial to track the quality of air in industrial areas of a city to insulate the public from harmful air pollutants.  The present study examined and predicted air quality index levels in industrial areas located ...

The actin cytoskeleton is the primary polymer system within cells responsible for regulating cellular stiffness. While various actin binding proteins regulate the organization and dynamics of the actin cytoskeleton, the proteins responsible for regulating the mechanical properties of cells are still not fully understood. In the present study, we have addressed the significance of the actin asso...