Abstract
In the last three decades, control theory has gained importance as a discipline for engineers, mathematicians, scientists, and other researchers. Examples of control problems include landing a vehicle on the moon, controlling the economy of a nation, manufacturing robots, controlling the spread of an epidemic, etc. Though a plethora of other books discuss continuous control theory [1, 2, 3], we will present here an introduction to discrete control theory.
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References
S. Barnett, Introduction to Mathematical Control Theory, Claredon, Oxford 1975.
T. Kailath, Linear Systems, Prentice Hall, New Jersey, 1980.
D.G. Luenberger, Introduction to Dynamic Systems, Theory, Models and Applications, John Wiley and Sons, New York 1979.
R.E. Kalman, and J.E. Bertram, “Control System Analysis and Design via the Second Method of Liapunov: I. Continuous-Time Systems; II. Discrete-Time Systems,” ASME J. Basic Eng., Ser. D, 82 (1960), 371–93, 394–400.
J.P. La Salle, The Stability and Control of Discrete Processes: Applied Mathematical Sciences, Vol. 82, Springer, New York, 1986.
K. Ogata, Discrete-Time Control Systems, Prentice-Hall, New Jersey, 1987.
L. Weiss, “Controllability, Realization and Stability of Discrete-Time Systems,” Siam J. Control, 10, (1972), 230–251.
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© 1996 Springer Science+Business Media New York
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Elaydi, S.N. (1996). Control Theory. In: An Introduction to Difference Equations. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-9168-6_6
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DOI: https://doi.org/10.1007/978-1-4757-9168-6_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-9170-9
Online ISBN: 978-1-4757-9168-6
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