Matrix Inequality
Linear Matrix Inequality Based Supplementary Controller for TCSC
... Linear Matrix Inequality (LMI) approach to design controllers in linear control problem is a powerful technique, because LMI problem is solved by using numerically convex optimization technique ...
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Image Noise Cancellation Using Linear Matrix Inequality and Cellular Neural Network
... Abstract—In this paper, the technique of image noise cancellation is presented by employing cellular neural networks (CNN) and linear matrix inequality (LMI). The main objective is to obtain the templates ...
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Peak to peak exponential direct learning of continuous time recurrent neural network models: a matrix inequality approach
... new matrix inequality condition for the existence of the PPEDLL is proposed to ensure that neural networks are exponentially stable with a guaranteed peak- to-peak norm ...on matrix ...
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Quaternion-based H∞ attitude tracking control of rigid bodies with time-varying delay in attitude measurements
... performance specifications were not taken into account. Such issues were addressed by the authors of [16] in the context of attitude regulation subjected to unknown time-varying delays wherein the presented Linear ...
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Stability Analysis of 2-D PSV System Represented by Givone–Roesser Model
... Linear matrix inequality which helps to solve various problems in simple manner, in that Lyapunov equation are very famous in terms of stability due to its regional pole ...
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Analysis of a Chaotic System with Line Equilibrium and Its Application to Secure Communications Using a Descriptor Observer
... linear matrix inequality (LMI), which is easy to perform in Matlab, and also some mild conditions on the system nonlinearities and the ranks of the involved ...
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A Direct Approach to Robustness Optimization
... linear matrix inequality test for well-connectedness analysis, and many existing results such as the Kalman-Yakubovich–Popov lemma and various scaled small gain tests are derived in an elegant ...
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Consensus via Adaptive Gain Controllers Considering Relative Distances for Multi-Agent Systems
... From the above, this paper deals with a consensus problem for MASs with leader-follower structures. In this paper, we present a design method of an adaptive gain controller giving considering relative distances between ...
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Mean Square Consensus Seeking over Multi Interconnection Dynamical Networks with Markovian Switching Topologies
... linear matrix inequality method and the partial stability theory, sufficient conditions of the exponentially mean-square consensus are obtained for the nonlinear complex dynamical network Lure system in the ...
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Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems
... linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm bounded ...
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Sum of squared logarithms an inequality relating positive definite matrices and their matrix logarithm
... logarithms inequality is one of the fundamental tools in deducing a novel optimality result in matrix analysis and the conditions in the form () had been deduced in the course of that ...the matrix ...
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A New Delay Vector Integral Inequality and Its Application
... The attracting set of dynamical systems have been extensively studied over the past few decades and various results are reported. It is well known that one of the most researching tools is inequality technique. ...
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High Dimensional Inverse Covariance Matrix Estimation via Linear Programming
... covariance matrix given by Σ 0 i j = ρ |i− j| for some ρ 6= ...covariance matrix is banded with the magnitude of ρ determining the strength of the dependence among the ...covariance matrix estimates ...
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Some Equivalent Forms of Bernoulli’s Inequality: A Survey
... It is well-known fact that every convex function on an interval a b , is continuous; if f is mid-point convex and continuous on an interval I, then it is convex on I. The following Jensen’s inequality can be ...
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Strong subadditivity for log determinant of covariance matrices and its applications
... triangle inequality, obtained by setting S ≡ D in ...latter inequality, which can be seen as a solution to the Gaussian marginal problem for n = 3 [36], further incorporates the requirement that the CM V ...
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Some new inequalities for the Hadamard product of M matrices
... n matrix A is called an M-matrix if there exists an n × n nonnegative matrix B and a nonnegative real number λ such that A = λI – B and λ ≥ ρ(B), I is the iden- tity matrix; if λ > ρ(B), we ...
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Notes on Greub Rheinboldt inequalities
... In the next section, we propose some refinements about the matrix Kantorovich-type inequalities (.), the Greub-Rheinboldt inequality for commutative positive definite Her- mitian matrix pairs, and ...
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Concentration Inequalities of Random Matrices and Solving Ptychography with a Convex Relaxation
... logarithmic-Sobolev inequality that exists in Ledoux’s work [123] using a probabilistic approach based on the vari- ational characterizations of the entropy ...Efron–Stein inequality, which controls the ...
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Stability of functional inequalities in matrix random normed spaces
... a matrix random Banach ...tional inequality (.) in matrix normed spaces by using the direct ...functional inequality (.) in matrix normed spaces by using the fixed point ...
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Matrix operator inequalities based on Mond, Pecaric, Jensen and Ando's
... several matrix operator inequalities associated with positive lin- ear maps by means of concavity and convexity ...Jensen’s inequality for real valued convex ...of matrix version based on Mond, ...
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