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9 Result(s)
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Adrian Stoica
Calculus of Variations and Optimal Control; Optimization
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Chapter
On The Connection Between Riccati Inequalities And Equations In H ∞ Control Problems
The paper presents some connections between the solvability conditions expressed in terms of linear matrix inequalities and the ones using Riccati equations. It is shown that the methodology based on the Bound...
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Chapter
The Disturbance Attenuation Problem for a General Class of Linear Stochastic Systems
The aim of this paper is to present a solution to the disturbance attenuation problem for stochastic systems subjected both to multiplicative white noise and to Markovian jumps. Based on a Bounded Real Lemma t...
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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...
