Results 211 to 220 of about 83,867 (245)

Lyapunov Theory and Perturbations of Differential Equations

SIAM Journal on Mathematical Analysis, 1973
In this paper we discuss qualitative properties of the solution of systems of ordinary differential equations and perturbations of such systems in the event a Lyapunov function is known whose derivative along solutions of the system satisfies a strong negative definite condition.
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Solving Projected generalized Lyapunov Equations using SLICOT

2006 IEEE Conference on Computer-Aided Control Systems Design, 2006
We discuss the numerical solution of projected generalized Lyapunov equations. Such equations arise in many control problems for linear time-invariant descriptor systems including stability analysis, balancing and model order reduction. We present solvers for projected generalized Lyapunov equations based on matrix equations subroutines that are ...
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Lyapunov and Sylvester Matrix Equations

2013
ADI iterative solution of Lyapunov and Sylvester matrix equations may be enhanced by availability of a stable algorithm for similarity reduction of a full nonsymmetric real matrix to low bandwidth Hessenberg form. An efficient and seemingly stable method described here has been applied successfully to an assortment of test problems.
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Lyapunov Theory for Dynamic Equations

2016
In the present, the direct method of motion stability analysis is extended for a number of classes of equations involved in the description of many natural processes and phenomena. Depending on the type of auxiliary functions used (scalar, vector, or matrix), the initial system is transformed by means of a Lyapunov function into a system (scalar ...
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Data Informativity for Lyapunov Equations

IEEE Control Systems Letters, 2023
Ikumi Banno, Shun-Ichi Azuma, Ryo Ariizumi, Toru Asai, Jun-Ichi Imura   +4 more
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A noise-suppressing Newton-Raphson iteration algorithm for solving the time-varying Lyapunov equation and robotic tracking problems

Information Sciences, 2021
Guancheng Wang, Haoen Huang, Dongyang Fu
exaly  

A variable-parameter ZNN with predefined-time convergence for dynamic complex-valued Lyapunov equation and its application to AOA positioning

Applied Soft Computing Journal, 2022
Yongjun He, Lin Xiao
exaly  

Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation

IMA Journal of Numerical Analysis, 1982
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Design and Analysis of FTZNN Applied to the Real-Time Solution of a Nonstationary Lyapunov Equation and Tracking Control of a Wheeled Mobile Manipulator

IEEE Transactions on Industrial Informatics, 2018
Lin Xiao, Bolin Liao, Shuai Li
exaly  

A convergence-accelerated Zhang neural network and its solution application to Lyapunov equation

Neurocomputing, 2016
Lin Xiao, Bolin Liao
exaly