This paper addresses the problem of observer design for discrete-time descriptor systems by using a new concept of dynamical observer. The advantage of this new concept is the structure of this dynamical observer, which is more general than the Proportional-Integral observer and the Proportional observers. The sufficient and necessary conditions for the stability of the proposed dynamical obser...

A computational procedure based on linear programming is presented for finding the best one-sided Li approximation to a given function. A theorem which ensures that the computational procedure yields approximations which converge to the best approximation is proved. Some numerical examples are discussed.

The motivation for the use of state-derivative feedback instead of conventional state feedback is due to its easy implementation in some mechanical applications, for example, in vibration control of mechanical systems, where accelerometers have been used to measure the system state. Using linear matrix inequalities LMIs and a parameter-dependent Lyapunov functions PDLF allowed by Finsler’s lemm...

In this paper, we develop a numerical resolution of the space-time fractional advection-dispersion equation. We utilize spectral-collocation method combining with a product integration technique in order to discretize the terms involving spatial fractional order derivatives that leads to a simple evaluation of the related terms. By using Bernstein polynomial basis, the problem is transformed in...

The main general reference for this and the next two lectures is a recent book [6] and its preliminary version [5] which is freely available on the web. 1 Why iterative methods? As we already know, there are two major classes of methods to solve linear systems: direct methods (like LU factorization, Cholesky factorization, etc.) and iterative methods. We underline the following properties of th...

An inventory model for Weibull deteriorating items with time varying demand under permissible delay in payments and inflation is considered. Holding cost is linear function of time. Shortages are permitted and are completely backlogged. Sensitivity with respect to parameters has been carried out. Numerical example is taken to support the model.

Sliding mode control (SMC) is an effective method of controlling systems with uncertainties which satisfy the socalled matching condition. However, how to effectively handle mismatched uncertainties of systems is still an ongoing research issue in SMC. Several methods have been proposed to design a stable sliding surface even if mismatched uncertainties exist in a system. Especially, it is pres...

This note presents a stability analysis method for piecewise discrete-time linear systems based on a piecewise smooth Lyapunov function. It is shown that the stability of the system can be established if a piecewise Lyapunov function can be constructed and, moreover, the function can be obtained by solving a set of linear matrix inequalities (LMIs) that is numerically feasible with commercially...

An inventory model for two warehouses with different deterioration rates is developed. Demand is considered as linear function of time. Holding cost is time dependent. Shortages are allowed and completely backlogged. To support the model numerical case is given. Affectability investigation is likewise done for parameters.