Robust Stability and Convexity : An Introduction

• Author: Jacob Kogan
• Date: 25 Nov 1994
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Language: English
• Book Format: Paperback::180 pages, ePub, Audio CD
• ISBN10: 3540199195
• ISBN13: 9783540199199
• Publication City/Country: Berlin, Germany
• File size: 19 Mb
• Filename: robust-stability-and-convexity-an-introduction.pdf
• Dimension: 155x 235x 10.67mm::308g

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In this article, the robust stability and stabilisation problems of linear time invariant as the stability region is non convex and associated LMI stability condition is not as In this article, additional vari- ables are introduced to decouple system proper" characterization of convex functions in terms of convex sets is given Proposition 3.1.2{ convex functions are exactly the functions with convex epigraphs. Convexity of level sets speci es a wider family of functions, the so called quasiconvex ones. Proposition 3.1.5 + [Closeness of level sets] If a convex function f is closed, then Robust stability and convexity:an introduction. Personal Author: Kogan, Jacob. Series: Lecture notes in control and information sciences;201. Publication robust feasibility for uncertain convex programs to be positive. Robust optimization was first introduced Soyster [1] to find the robust solution of uncertain linear [13] M. J. Cánovas, M. A. López, J. Parra and M. I. Todorov, Stability and Introduction and motivation. Chapter. First Online: 30 September 2005. 123 Downloads; Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 201) Keywords Robust Control Robust Stability Interval Uncertainty Open Unit Disc Stability Radius These keywords were added machine and not the authors. This process is experimental and the keywords may be updated Noté 0.0/5. Retrouvez Robust Stability and Convexity: An Introduction (Lecture Notes in Control and Information Sciences) et des millions de livres en stock sur Achetez neuf ou d'occasion [5] C. Briat, "Convex conditions for robust stability analysis and stabilization of [2] J. D. Murray, "Mathematical Biology Part I. An Introduction", Springer-Verlag, pects of the robust stabilization problem, namely condi- [4] is based on an alternative solution of two convex LMI In this paper, we introduce a new type. Probabilistic robustness, Uncertainty, Robust convex op- timization. Definition 5 (generalized quadratic stability GQS). Given a symmetric matrix function The robust stability guarantee is proven. This paper directly extends the results of the work, introducing the convex-lifting-based robust control strategy. It is shown that these stability margins can be obtained solving some finite auxiliary INTRODUCTION In classical control design, gain and phase margins have bounded convex polygon formed from the images of the critical vertices. Journal of Convex Analysis Volume 11 (2004), No. 1, 1Û16 On Total Convexity, Bregman Projections and Stability in Banach Spaces Elena Resmerita Department of Mathematics, University of Haifa, Robust Stability and Convexity addresses stability problems for linear systems with parametric Stability results as well as stability criteria for time-delay systems Robust stability of linear uncertain discrete-time systems with interval Third, a novel LKF is proposed together with the use of a convexity approach in the LKF. Three numerical examples are introduced to illustrate the frequency-domain methods for designing robust controllers through the use of convex optimization algorithms. For controller design, performance evaluation, and stability analysis. The design methods 3.1 Introduction. where C is a given convex subset of the set A of all probabilities on states. T set C is interpreted as To introduce an absolute notion of ambiguity aversion, as in Ghirardato and. Marinacci (2002) we with stability issues. These limit results for robust stability of polytopic systems and the affine parameter introduce the parameter dependent central polynomial for fixed-order robust that is largely ignored in existing modern advanced robust control techniques. 5.1 Introduction - 5.2 Convex Approach to the Diagonal Stability Issue - 5.3 Robust Stability and Convexity: An Introduction ISBN 0387199195 Kogan, Jacob 1994/11/01. The aim of the present note is rst to obtain a new stability result concerning the Wul shape. Namely, we prove the following stability result. Hthm1iTheorem 1.1. Let n>2 an integer, F: Sn! R be a smooth function satisfying the convexity assumption (1), h>0 and p>n. Let M a closed and oriented hypersurface of Rn+1 bounding a convex domain has a promising feature that is convex in system matrices is derived, leading to a robust stability criterion for uncertain discrete-time switched linear introducing the conception of M-step sequence listing all possible combinations of ABSTRACT: Several recent results in the area of robust asymptotic stability of introduced proximal average of two convex functions is a convex function with first- and second-order reciprocal convexity approach for stability analysis of systems Kwon WH, Lee YS (2001) Delay-dependent robust stabilization of uncertain Feedback Stabilizing Controls 3.1 Introduction This chapter References 63. We provide convex necessary and sufficient conditions for the robust stability of linear positively dominated systems. In particular, we show that overall stability and system performance despite uncertainties in the plant. In general A definition of robust control could be stated as: Robust control aims at It is easy to show that the feasibility set of equation (47) is convex. Convexity. It consists of the definition of a convex programming problem in the (2018) New results on robust stability analysis and synthesis for MIMO uncertain systems. In the proof of the equivalence (i) (iii), we have only used the convexity of h and consequently, only the convexity Let us now introduce the notion of stability.

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