Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find ba
This versatile book teaches control system design using Hînfty techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. The development of Hînfty engineering was one of the main accomplishments of control in the 1980s. However, until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using Hînfty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections. The authors treat control design problems in a physically correct way. They present a small set of specific rules that the reader can apply to convert a particular design problem to the fundamental optimization problem of Hînfty control. This precisely formulated mathematics problem can then be solved on a computer. The book introduces the control software package OPTDesign, which allows the reader to easily reproduce the calculations done in the solved examples and even try variations on them. The description of how to convert an engineering problem to a form suitable for CAD is simpler than in other books.
This book approaches the topic of contextual evangelization from the standpoint of Òthe poor, the powerless, and the opressed.Ó It is, as Orlando Costas explains, Òwritten against the backdrop of the radical evangellical tradition in dialogue with other streams of the larger ecumenical church.Ó Costas begins by exploring the biblical roots of contextual evangelization, focusing on two models. The Old Testament model is illustrated by believers like Esther, who, in her heroic liberation of her people in politically difficult circumstances, showed us how to come to the aid of those who live on the margins of society. The New Testament model is illustrated first and foremost by Christ, who showed us how to minister to the maginalized by operating from Òthe Galilean periphery.Ó On what does one base contextual evangelization? On the Trinity, which Costas defines as community, the foundation for evangelization as a Òcommunal event.Ó The substance of evangelization is Òthe apostolic message of the cross,Ó which announces God's gift of life through the suffering and death of Christ. If we believe that message, we look foreward to life in God's kingdom even as we work and pray for justice and peace. Costas accordingly views conversion not as a single event but rather as a continual transformative process that involves a passage from self-absorption to active communal commitment. Costas's creative, sound blend of evangelical commitment and enlightened social thinking recommends this book to well-informed laypeople as well as pastors, theologians, and scholars.
This versatile book teaches control system design using H-Infinity techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. Until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using H^\infty techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections.
Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find ba
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