Results 51 to 60 of about 6,368,085 (214)
Finding a positive semidefinite interval for a parametric matrix
Linear Algebra and its Applications, 1986 For given symmetric \(n\times n\) matrices, positive semidefinite C and E of rank one or two, real numbers ṯ\(\leq 0\), \(\bar t\geq 0\) are obtained such that the parametric matrix \(C(t)=C+tE\) is positive semidefinite if and only if \(t\in [\underline t,\bar t]\).
Caron, R.J., Gould, N.I.M.
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Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes +2 more
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Neural Network‐Based Runtime Monitoring and Control for Unknown Nonlinear Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Real‐time system monitoring and stabilization become especially challenging when the system dynamics are unknown. This article introduces a novel design for monitoring and stabilizing unknown nonlinear systems with measurement noise. The design utilizes a generic modelling framework by decomposing the system into a known tunable linear ...
Jianglin Lan, Xianxian Zhao, Ron Patton
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Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
Special Matrices, 2016 By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
Kurata Hiroshi, Bapat Ravindra B.
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The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions
Advances in Mathematical Physics, 2020 Through the method of ZN-KP hierarchy, we propose a new (3+1)-dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive ...
Na Xiong, Wen-Tao Li, Biao Li
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Moments of MGOU processes and positive semidefinite matrix processes
Journal of Multivariate Analysis, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimisation of functions of a positive semidefinite matrix A subject to AX = 0
Journal of Multivariate Analysis, 1978 AbstractA common problem in multivariate analysis is that of minimising or maximising a function f of a positive semidefinite matrix A subject possibly to AX = 0. Typically A is a variance-covariance matrix. Using the theory of nearest point projections in Hilbert spaces, it is shown that the solution satisfies the equation f′(A) + M − A = 0, where A =
Calvert, Bruce, Seber, George A.F.
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Journal of Field Robotics, EarlyView.ABSTRACT Drone light shows (DLShows) represent a rapidly growing application of swarm robotics, creating captivating aerial displays through the synchronized flight of hundreds or thousands of unmanned aerial vehicles (UAVs) as environmentally friendly and reusable alternatives to traditional pyrotechnics.
Yunes Alqudsi
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Matrices With High Completely Positive Semidefinite Rank [PDF]
, 2016 A real symmetric matrix M is completely positive semidefinite if it admits a Gram representation by positive semidefinite matrices (of any size d ). The smallest such d is called the completely positive semidefinite rank of M , and it is an open question
Laat, David +9 more
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