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Advances in analysis and control of time-delayed dynamical systems / Jian-Qiao Sun, Qian Ding (editor)
Singapore : World Scientific, 2013
iv, 342 pages. : illustrations (some color) ; 25 cm.
Ký hiệu phân loại (DDC): 629.8
Analysis and control of time-delayed systems have been applied in a wide range of applications, ranging from mechanical, control, economic, to biological systems. Over the years, there has been a steady stream of interest in time-delayed dynamic systems, this book takes a snap shot of recent research from the world leading experts in analysis and control of dynamic systems with time delay to provide a bird's eye view of its development. The topics covered in this book include solution methods, stability analysis and control of periodic dynamic systems with time delay, bifurcations, stochastic dynamics and control, delayed Hamiltonian systems, uncertain dynamic systems with time delay, and experimental investigations of delayed structural control
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2
An exponential function approach to parabolic equations / Chin-Yuan Lin
Hackensack, NJ : World Scientific, 2015
x, 163 pages. ; 23 cm.
Ký hiệu phân loại (DDC): 515.35
This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand. Contents: Existence Theorems for Cauchy Problems; Existence Theorems for Evolution Equations (I); Linear Autonomous Parabolic Equations; Nonlinear Autonomous Parabolic Equations; Linear Non-autonomous Parabolic Equations; Nonlin
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3
Mathematical problems of control theory : an introduction / G. A. Leonov
Singapore : World Scientific, 2001
viii, 172 pages. : illustrations ; 23 cm.
Ký hiệu phân loại (DDC): 519.8
This work shows clearly how the study of concrete control systems has motivated the development of the mathematical tools needed for solving such problems. In many cases, by using this apparatus, far-reaching generalizations have been made, and its further development will have an important effect on many fields of mathematics. In the book, a way is demonstrated in which the study of the Watt flyball governor has given rise to the theory of stability of motion. The criteria of controllability, observability, and stabilization are stated. Analysis is made of dynamical systems, which describe an autopilot, spacecraft orientation system, controllers of a synchronous electric machine, and phase-locked loops. The Aizerman and Brockett problems are discussed and an introduction to the theory of discrete control systems is given
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