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Book
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Chapter
Singular H∞ Problems
This chapter deals with two H∞ optimization problems frequently arising in control applications, namely the robust design with respect to multiplicative uncertainty and the sensitivity reduction. Both problems ha...
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Chapter
Linear Systems: Some Prerequisites
The aim of this chapter is to recall some basic notions and results of the linear systems theory. Parts of these results are now common facts while others are not usually encountered in the classical literatur...
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Chapter
H∞ Control: A Signature Condition Based Approach
This chapter is dedicated to a problem that undoubtedly dominated the Mathematical Control Theory during the last decade. Roughly speaking, the problem consists in finding a controller which simultaneously sta...
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Chapter
Optimal H∞ Problems: A Singular Perturbation Approach
The results derived in Chapter 3 allow us to determine a suboptimal solution of the H∞-control problem which depends on the imposed level of attenuation γ. In order to improve the attenuating performances of the ...
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Chapter
The Kalman-Popov-Yakubovich System of Indefinite Sign
The present chapter stores the principal theoretical arguments on which the present monograph is built. The core of the subsequent development is the so called generalized Popov-Yakubovich theory — a natural exte...
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Chapter
The Nehari Problem
Over the last years, the Nehari problem has been receiving considerable attention. This interest is because many control problems including H∞ optimization, robustness with respect to dynamic modeling uncertainty...