The tradeoff between performance and robustness in single-input single-output linear time-invariant stable plants represents a fundamental aspect of robust control design. We use a theorem that clearly exposes such a tradeoff between the maximum magnitude of the additive plant uncertainty and the performance weighting function in the frequency domain as a basis to design robust controllers with...

Motion-JPEG is a common video format for compression of motion images with highquality using JPEG standard for each frame of the video. During transmission through a noisychannel some blocks of data are lost or corrupted, and the quality of decompression frames decreased.In this paper, for reconstruction of these blocks, several temporal-domain, spatial-domain, andfrequency-domain error conceal...

Our aim is to show the interplay between geometry analysis and applications of the theory of isoperimetric inequalities for some nonlinear problems. Reviewing the isoperimetric inequalities valid on Minkowskian plane we show that we can get estimations of physical quantities, namely, estimation on the first eigenvalue of nonlinear eigenvalue problems, on the basis of easily accessible geometric...

This paper studies the consensusability of a continuous-time linear time-invariant multi-agent system (MAS) with time delay in an undirected network with N nodes. We show that the MAS can achieve consensus if and only if N 1 time-delay subsystems associated with the eigenvalues of the Laplacian matrix of the network are simultaneously asymptotically stable. By employing a linear matrix inequali...

In this Letter, we propose new criteria for asymptotic stability of Lur’e systems with sector and slope restrictions. The criteria are expressed in terms of linear matrix inequality which has full block scaling matrix. By interpreting the criteria in the frequency domain using KYP lemma, the less conservativeness of the proposed analysis method is investigated. Furthermore, we analyze the dynam...

This paper considers a robust control synthesis problem for uncertain linear systems to meet design specifications given in terms of multiple frequency domain inequalities in (semi)finite ranges. In this paper, we restrict our attention to static (gain feedback) controllers. We will develop a new multiplier method that allows for reduction of synthesis conditions to linear matrix inequality pro...

BACKGROUND This study characterizes the intake of sweetened beverages and establishes whether economic inequalities in their consumption exists. METHODS Ecological study. Mixed methods using food frequency questionnaire and inequality indices. Based on the National Nutrition Survey, Colombia, 2010. The sweetened beverage intake of 17,514 subjects in 33 geodemographic units was estimated with ...