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Dynamic Noncooperative Game Theory
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- E-bokPDF, Engelska, 2013
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It is easy to imagine the excitement that pervaded the neurological world in the late 1920''s and early 1930''s when Berger''s first descriptions of the electro encephalogram appeared. Berger was not the first to discover that changes in electric potential can be recorded from the surface of the head, but it was he who first systematized the method, and it was he who first proposed that explanatory correlations might be found between the electroencephalogram, brain processes, and behavioral states. An explosion of activity quickly fol lowed: studies were made of the brain waves in virtually every conceivable behavioral state, ranging from normal human subjects to those with major psychoses or with epilepsy, to state changes such as the sleep-wakefulness transition. There evolved from this the discipline of Clinical Electroencepha lography which rapidly took a valued place in clinical neurology and neuro surgery. Moreover, use of the method in experimental animals led to a further understanding of such state changes as attention-inattention, arousal, and sleep and wakefulness. The evoked potential method, derived from electro encephalography, was used in neurophysiological research to construct pre cise maps of the projection of sensory systems upon the neocortex. These maps still form the initial guides to studies of the cortical mechanisms in sensation and perception. The use of the event-related potential paradigm has proved useful in studies of the brain mechanisms of some cognitive functions of the brain. - Häftad, Engelska, 2012
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It is easy to imagine the excitement that pervaded the neurological world in the late 1920's and early 1930's when Berger's first descriptions of the electro encephalogram appeared. Berger was not the first to discover that changes in electric potential can be recorded from the surface of the head, but it was he who first systematized the method, and it was he who first proposed that explanatory correlations might be found between the electroencephalogram, brain processes, and behavioral states. An explosion of activity quickly fol lowed: studies were made of the brain waves in virtually every conceivable behavioral state, ranging from normal human subjects to those with major psychoses or with epilepsy, to state changes such as the sleep-wakefulness transition. There evolved from this the discipline of Clinical Electroencepha lography which rapidly took a valued place in clinical neurology and neuro surgery. Moreover, use of the method in experimental animals led to a further understanding of such state changes as attention-inattention, arousal, and sleep and wakefulness. The evoked potential method, derived from electro encephalography, was used in neurophysiological research to construct pre cise maps of the projection of sensory systems upon the neocortex. These maps still form the initial guides to studies of the cortical mechanisms in sensation and perception. The use of the event-related potential paradigm has proved useful in studies of the brain mechanisms of some cognitive functions of the brain. - E-bokPDF, Engelska, 2013
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One of the major concentrated activities of the past decade in control theory has been the development of the so-called "HOO-optimal control theory," which addresses the issue of worst-case controller design for linear plants subject to unknown additive disturbances, including problems of disturbance attenuation, model matching, and tracking. The mathematical OO symbol "H " stands for the Hardy space of all complex-valued functions of a complex variable, which are analytic and bounded in the open right half complex plane. For a linear (continuous-time, time-invariant) plant, oo the H norm of the transfer matrix is the maximum of its largest singular value over all frequencies. OO Controller design problems where the H norm plays an important role were initially formulated by George Zames in the early 1980''s, in the context of sensitivity reduction in linear plants, with the design problem posed as a mathematical optimization problem using an (HOO) operator norm. Thus formulated originally in the frequency domain, the main tools used during the early phases of research on this class of problems have been operator and approximation theory, spectral factorization, and (Youla) parametrization, leading initially to rather complicated (high-dimensional) OO optimal or near-optimal (under the H norm) controllers.
