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Control Theory is an interdisciplinary field of engineering and mathematics that studies the behavior of dynamic systems with external stimuli and how to modify such behavior through feedback, and the very concept of dynamic system implies the study of how the trajectories of a point in a geometric space evolve in time. Thus, time is at the very foundation of control theory, and its development and achievements are conditioned both by the conception we have of it and by our way of measuring and using it. Following a quasi-chronological order, this work aims to give an overview of how these conceptions and these ways of measuring and using time are reflected in the paths followed by control theory from its origins to the present day.

Control engineering. --- System theory. --- Control theory. --- Industrial engineering. --- Automation. --- Control and Systems Theory. --- Systems Theory, Control. --- Industrial Automation.

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Fractional-order Systems and Controls details the use of fractional calculus (calculus of non-integer order) in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems (available by download from www.springer.com/ISBN). The use of fractional calculus can improve and generalize well-established control methods and strategies. Many different FOC schemes are presented for control and dynamic systems problems. These extend to the challenging control engineering design problems of robust and nonlinear control. Practical material relating to a wide variety of applications including, among others, mechatronics, civil engineering, irrigation and water management, and biological systems is also provided. All the control schemes and applications are presented in the monograph with either system simulation results or real experimental results, or both. Fractional-order Systems and Controls introduces its readers - academic and industrial control researchers interested in mechatronics, nonlinear and robust control, and applications fields from civil engineering to biological systems - to the essentials of FOC and imbues them with a basic understanding of FOC concepts and methods. With this knowledge readers can extend their use of FOC in other industrial system applications, thereby expanding their range of disciplines by exploiting this versatile new set of control techniques.

Electrical engineering --- Applied physical engineering --- Engineering sciences. Technology --- superclaus proces --- automatisering --- systeemtheorie --- systeembeheer --- automatische regeltechniek

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Mathematics