Results 1 to 10 of about 5,018 (185)
Kantorovich and Cauchy-Schwarz inequalities involving positive semidefinite matrices, and efficiency comparisons for a singular linear model [PDF]
Linear Algebra and its Applications, 1997 The authors prove that \(Y^+UY^{+'}\leq{(\lambda_1+\lambda_r)^2\over 4\lambda_1\lambda_r}(Y'U^+ Y)\), where the \(n\times n\) positive semidefinite matrix \(U\geq 0\) of rank \(r\) has nonzero eigenvalues \(\lambda_1,\dots,\lambda_r\), \(Y\) is of order \(n\times k\), and \(R(Y)\subset R(U)\); \((\cdot)^+\) indicates the Moore-Penrose inverse and \(R ...
Neudecker, H., Liu, S.
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Comparison of BLUPs under multiple partitioned linear model and its correctly-reduced models
Miskolc Mathematical NotesIn this study, we investigate the relations between a multiple partitioned linear model and its correctly-reduced models. We consider the comparison problem of covariance matrices of the best linear unbiased predictors (BLUPs) of all unknown vectors ...
Nesrin Güler, Melek Eriş Büyükkaya
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Advances in Mechanical Engineering, 2017 This article presents a new output feedback controller design method for polynomial linear parameter varying model with bounded parameter variation rate.
Xiaobao Han +3 more
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Linear Algebra and its Applications, 1981 AbstractA symmetric matrix C is called copositive if the quadratic form x′Cx is nonnegative for all nonnegative values of the variables (x1,x2,…,xn)=x′. A known sufficient condition for a quadratic form x′Qx to be positive unless x=0, subject to the linear inequality constraints Ax⩾0, is that there should exist a copositive matrix C such that Q−A′CA is
Martin, D.H., Jacobson, D.H.
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Abstract and Applied Analysis, 2012 This paper investigates the problem of robust exponential stability for linear parameter-dependent (LPD) systems with discrete and distributed time-varying delays and nonlinear perturbations.
Kanit Mukdasai +2 more
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How to Find New Characteristic-Dependent Linear Rank Inequalities using Binary Matrices as a Guide
CoRR, 2019 In Linear Algebra over finite fields, a characteristic-dependent linear rank inequality is a linear inequality that holds by ranks of subspaces of a vector space over a finite field of determined characteristic, and does not in general hold over other characteristics.
Victor Peña, Humberto Sarria
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Journal of Applied Mathematics, 2013 This paper is concerned with the problem of robust exponential stability for linear parameter-dependent (LPD) neutral systems with mixed time-varying delays and nonlinear perturbations.
Sirada Pinjai, Kanit Mukdasai
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Journal of Applied Mathematics, 2012 This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent ...
Weihua Mao, Feiqi Deng, Anhua Wan
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Decentralized robust control design using LMI [PDF]
Acta Montanistica Slovaca, 2008 The paper deals with application of decentralized controllers for large-scale systems with subsystems interaction and system matrices uncertainties. The desired stability of the whole system is guaranteed while at the same time the tolerable bounds in ...
Dušan Krokavec, Anna Filasová
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Receding Horizon Control-Based Stabilization of Discrete-Time Stochastic Systems With State Delay
IEEE Access, 2019 The stabilization of receding horizon control (RHC) for a class of discrete-time stochastic systems with multiple state delay is concerned. Firstly, a cost function with the type of conditional expectation is designed.
Xiaohua Liu, Xiaojing Wang, Rong Gao
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