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140122  eng 
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a 9789400901278

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a Cheremensky, A.

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a Operator Approach to Linear Control Systems
h Elektronische Ressource
c by A. Cheremensky, V.N. Fomin

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a 1st ed. 1996

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a Dordrecht
b Springer Netherlands
c 1996, 1996

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a XVI, 398 p. 1 illus
b online resource

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a Operator Approach to Linear Control Systems  to systems theory  Resolution spaces  Linear control plants in a resolution space  Linear quadratic optimization in preplanned control class  Linear quadratic optimization in feedback control class  Finitedimensional LQP  Some computing methods in stationary finitedimensional SLQPs

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a Electrical and Electronic Engineering

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a Electrical engineering

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a Control theory

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a Systems Theory, Control

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a System theory

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a Operator theory

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a Operator Theory

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a Mechanical engineering

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a Mechanical Engineering

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a Fomin, V.N.
e [author]

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7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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a Mathematics and Its Applications

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a 10.1007/9789400901278

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u https://doi.org/10.1007/9789400901278?nosfx=y
x Verlag
3 Volltext

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a 3

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a The idea of optimization runs through most parts of control theory. The simplest optimal controls are preplanned (programmed) ones. The problem of constructing optimal preplanned controls has been extensively worked out in literature (see, e. g. , the Pontrjagin maximum principle giving necessary conditions of preplanned control optimality). However, the concept of op timality itself has a restrictive character: it is limited by what one means under optimality in each separate case. The internal contradictoriness of the preplanned control optimality ("the better is the enemy of the good") yields that the practical significance of optimal preplanned controls proves to be not great: such controls are usually sensitive to unregistered disturbances (includ ing the roundoff errors which are inevitable when computer devices are used for forming controls), as there is the effect of disturbance accumulation in the control process which makes controls to be of little use on large time inter vals. This gap is mainly provoked by oversimplified settings of optimization problems. The outstanding result of control theory established in the end of the first half of our century is that controls in feedback form ensure the weak sensitivity of closed loop systems with respect to "small" unregistered internal and external disturbances acting in them (here we do not need to discuss performance indexes, since the considered phenomenon is of general nature). But by far not all optimal preplanned controls can be represented in a feedback form
