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"This book discusses delta operator systems in automation and control systems design. The framework is carefully constructed for delta operator systems to handle sliding mode control, time delays, filter design, finite frequency and networked control. "

"The problem of viability of hybrid systems is considered in this work. A model for a hybrid system is developed including a means of including three forms of uncertainty : transition dynamics, structural uncertainty, and parametric uncertainty. A computational basis for viability of hybrid systems is developed and applied to three control law classes. An approach is developed for robust viability based on two extensions of the controllability operator. The three-tank example is examined for both the viability problem and robust viability problem.The theory is applied through simulation to an active magnetic bearing system and to a batch polymerization process showing that viability can be satisfied in practice. The problem of viable attainability is examined based on the controllability operator approach introduced by Nerode and colleagues. Lastly, properties of the controllability operator are presented."

"This book introduces the peridynamic (PD) differential operator, which enables the nonlocal form of local differentiation. PD is a bridge between differentiation and integration. It provides the computational solution of complex field equations and evaluation of derivatives of smooth or scattered data in the presence of discontinuities. PD also serves as a natural filter to smooth noisy data and to recover missing data.This book starts with an overview of the PD concept, the derivation of the PD differential operator, its numerical implementation for the spatial and temporal derivatives, and the description of sources of error. The applications concern interpolation, regression, and smoothing of data, solutions to nonlinear ordinary differential equations, single- and multi-field partial differential equations and integro-differential equations. It describes the derivation of the weak form of PD Poissons and Naviers equations for direct imposition of essential and natural boundary conditions. It also presents an alternative approach for the PD differential operator based on the least squares minimization."

"Penelitian ini ditujukan guna mengetahui jumlah operator telekomunikasi di Indonesia yang ideal berdasarkan banyaknya pelanggan (konsumen) yang bisa ditampung oleh operator telekomunikasi tersebut serta total pendapatan yang diperoleh masing-masing operator seluler pada tahun 2009. Adapun yang akan diteliti adalah operator seluler yang menggunakan teknologi GSM (Global Systems for Mobile communication) serta teori yang akan digunakan untuk melakukan analisis jumlah ideal operator tersebut adalah chaos theory. Data diambil sampling dengan data pelanggan area Jakarta yang merupakan sentral dari kelayakan usaha telekomunikasi di Indonesia. Berdasarkan analisis yang dilakukan, diketahui bahwa dari 5 operator seluler yang saat ini eksisting terdapat 3 operator yang pada jangka waktu ke depan masih akan tetap mampu bertahan memenangkan pasar.

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This study aimed to determine the number of telecommunications operators in Indonesia are ideal based on the number of subscribers (consumers) that can be accommodated by the telecommunications operators as well as the total revenue obtained by each mobile operator in the year 2009. As for who will be investigated is the cellular operators that use GSM (Global Systems for Mobile Communication) and theory that will be used to perform analysis of these operators is the ideal amount of chaos theory. Sampling with data retrieved customer data which is the central Jakarta area of the feasibility of telecommunications in Indonesia. Based on the analysis undertaken, it is known that out of five cellular operators that currently there are three existing operators in the period ahead will still be able to survive to win market."