Results 241 to 250 of about 4,419,275 (304)

A Distributed Event-Triggered Neurodynamic Approach for Lyapunov Matrix Equation

IEEE Transactions on Systems, Man & Cybernetics. Systems
In this article, a neurodynamic approach based on event-triggered mechanism for solving Lyapunov matrix equation is established. First, employing matrix decomposition technique, the Lyapunov matrix equation is reformulated as a distributed optimization ...
Hao-Ze Li, Guan-Nan Li, Si-Tian Qin
semanticscholar   +1 more source

Dynamic Positioning Control for Unmanned Marine Vehicles With Thruster Faults and Time Delay: A Lyapunov Matrix-Based Method

IEEE Transactions on Systems, Man & Cybernetics. Systems
This article investigates the problem of dynamic positioning (DP) control for unmanned marine vehicle (UMV) subject to thruster faults and time delay. Time delay is a negative factor for DP of the UMV.
Xin Yang, Li-Ying Hao, Tie-Shan Li, Yang Xiao   +3 more
semanticscholar   +1 more source

Design and Application of Programmable Analog Circuit for Solving Lyapunov Matrix Equation Based on Memristors

IEEE transactions on industrial electronics (1982. Print)
The Lyapunov matrix equation is widely used in scientific computing and engineering applications; how to quickly solve the Lyapunov matrix equation has been an urgent requirement in the era of big data and Internet of Things. However, the related work of
Pin-An Xiao, Q. Hong, Jingru Sun, Si-Chun Du, Ji-Liang Zhang   +4 more
semanticscholar   +1 more source

Weighted Explicit Iterative Algorithms for Continuous Coupled Lyapunov Matrix Equations*

Asian Control Conference, 2019
This paper is concerned with the methods for solving continuous coupled Lyapunov matrix equations. First, based on the existing algorithms with latest estimation, a weighted explicit iterative algorithms is developed for solving the considered matrix ...
Wanqi Wu, Ying Zhang, Hui-Jie Sun, Rui Zhang   +3 more
semanticscholar   +1 more source

The Lyapunov matrix-function

Nonlinear Analysis: Theory, Methods & Applications, 1984
For a system of equations \(dx/dt=f(x)\), \(f(0)=0\) where \(x\in R^ n\), \(f:N\to R^ n\), \(N\subset R^ n\) the author introduces the Lyapunov matrix-function (1) \({\mathcal B}(x)=\{w_{ij}(x)\}^ m_{i,j=1}\), \(w_{ij}(0)=0\); \(\bar {\mathcal B}(x)=\max_{i,j}w_{ij}(x)\), i,\(j\in [1,m]\) and its derivative \(\quad (2)\quad\overset \circ {\mathcal B}(x)
openaire   +2 more sources

Stability tests for neutral‐type delay systems: A delay Lyapunov matrix and piecewise linear approximation of the functional argument approach

International Journal of Robust and Nonlinear Control
New necessary and sufficient stability tests for neutral‐type linear time delay systems are presented. They are based on functionals with prescribed derivative depending on the delay Lyapunov matrix and recent stability/instability theorems.
Gerson Portilla, Irina V. Alexandrova, Sabine Mondié   +2 more
semanticscholar   +1 more source

On bounds of Lyapunov's matrix equation

IEEE Transactions on Automatic Control, 1979
In this paper, new bounds are given for the matrix solution of the Lyapunov equation A'P+ PA+Q=0 . It is shown that it is always possible to achieve a lower bound, while the upper bound can be obtained for a specified class of Q matrices which is given. The results are compared to those given in [1] through some examples.
Geromel, J. C., Bernussou, J.
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Upper and lower bounds for the solution of the Lyapunov matrix differential equation

Linear and multilinear algebra
In control systems, the study of controllability, observability and stability can often be transformed into the estimation of the upper and lower bounds for the solution of the Lyapunov matrix differential equation.
Jian-Zhou Liu, Ze Zhang, Wen-Long Zeng, Fu-Ying Tang   +3 more
semanticscholar   +1 more source

On the Lyapunov matrix equation

IEEE Transactions on Automatic Control, 1974
Given the Lyapunov matrix equation A'Q + QA = -P a fundamental inequality which is satisfied by the extremal eigenvalues of the matrices Q and P , provided A is a stability matrix, is established. This result, besides being interesting from a theoretical standpoint, is extremely useful in the determination of suboptimal controllers for the minimum time
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New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations

Journal of the Franklin Institute, 2018
In this paper, based on the Smith iteration (Smith, 1968), an inner-outer (IO) iteration algorithm for solving the coupled Lyapunov matrix equations (CLMEs) is presented.
Zhaolu Tian, Chia-Ming Fan, You-Jun Deng, Pi-Hua Wen   +3 more
semanticscholar   +1 more source