Titlebook: Discrete H∞ Optimization; With Applications in Charles K. Chui,Guanrong Chen Book 1997Latest edition Springer-Verlag Berlin Heidelberg 1997

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Linear Systems,nction. Indeed, the frequency domain approach for time-invariant linear systems amounts to certain minimization problems such as system reduction in linear control systems optimization, robust stabilization, disturbance rejection, and sensitivity minimization. This chapter will be devoted to the stu

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Approximation in Hardy Spaces,unit disk |.| ≤ 1. In this chapter we will study approximation by polynomials and “stable” rational functions in |.| < 1, using the Hardy spaces .. and .. norms. Here, due to the reciprocal transformation, “stability” requires location of poles in |.| > 1. Approximation in the Hankel norm will be co

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General Theory of Optimal Hankel-Norm Approximation,tary proof of the theorem under this assumption was given, and an application of the result to the problem of system reduction has also been illustrated. In this chapter, we will study the general AAK theory, see AAK [1971], where the Hankel matrix Γ is not necessarily of finite rank and may not eve

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Book 1997Latest editionst three chapters present the basic theory and standard methods in digital filtering and systems from the frequency-domain approach, followed by a discussion of the general theory of approximation in Hardy spaces. AAK theory is introduced, first for finite-rank operators and then more generally, bef

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Digital Signals and Digital Filters,s over the classical analog version is the availability of modern digital equipment for high-speed processing with high signal/noise ratio and fast computation with high accuracy, and at the same time with a decrease in the implementation and computation costs.

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