Zobrazeno 1 - 10
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pro vyhledávání: '"Lyapunov equation"'
Autor:
Ali Algefary, Jianhong Xu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 25253-25260 (2024)
In this short note, we presented a number of alternative explicit necessary and sufficient conditions for diagonal stability along with a new proof of a well-known result in this regard.
Externí odkaz:
https://doaj.org/article/30a909e0a57b413881212fd2644e482d
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23859-23877 (2024)
We address the prescribed-time stability of a class of nonlinear system with uncertainty/disturbance. With the help of the parametric Lyapunov equation (PLE), we designed a state feedback control to regulate the full-state of a controlled system with
Externí odkaz:
https://doaj.org/article/c79a69dd538c4ad7868978ba5b60f6f9
Autor:
Jiawen Huang, Yiming Yan
Publikováno v:
IEEE Access, Vol 12, Pp 133969-133981 (2024)
The time-varying Lyapunov equation plays a central role in the stability analysis and control of dynamic systems across various fields. Traditional methods for dealing with time-varying Lyapunov equations often face challenges such as slow convergenc
Externí odkaz:
https://doaj.org/article/2eab94a4c36743e4b20838347580ddf4
Autor:
Viet Duc La, Ngoc Tuan Nguyen
Publikováno v:
Theoretical and Applied Mechanics Letters, Vol 14, Iss 2, Pp 100505- (2024)
This paper studies a single degree of freedom system under free vibration and controlled by a general semi-active damping. A general integral of squared error is considered as the performance index. A one-time switching damping controller is proposed
Externí odkaz:
https://doaj.org/article/0f3f0ef672f34fffbc4dfa29bd393896
Autor:
Yiqin Lin
Publikováno v:
Mathematics, Vol 12, Iss 8, p 1166 (2024)
In this paper, we consider the numerical solution of large-scale discrete-time projected Lyapunov equations. We provide some reasonable extensions of the most frequently used low-rank iterative methods for linear matrix equations, such as the low-ran
Externí odkaz:
https://doaj.org/article/ce8dcfdabf3148209e60c5dbd2bcf7b4
Publikováno v:
Computation, Vol 12, Iss 3, p 50 (2024)
Random vibration analysis is a mathematical tool that offers great advantages in predicting the mechanical response of structural systems subjected to external dynamic loads whose nature is intrinsically stochastic, as in cases of sea waves, wind pre
Externí odkaz:
https://doaj.org/article/c1535e6cb6ac44bbaf8610de80579c18
Publikováno v:
IEEE Access, Vol 11, Pp 29474-29482 (2023)
The time-variant Lyapunov equation (TVLE) has played an important role in many fields due to its ubiquity and many neural dynamics models have been developed to obtain the online solution of the TVLE. In prevalent methods, the gradient neural dynamic
Externí odkaz:
https://doaj.org/article/dfcfe59d4e8448f5966bba6c8f9b5343
Autor:
Assimakis Nicholas, Adam Maria
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 1845-1857 (2022)
In this article, new iterative algorithms for solving the discrete Riccati and Lyapunov equations are derived in the case where the transition matrix is diagonalizable with real eigenvalues. It is shown that the proposed iterative algorithms are fast
Externí odkaz:
https://doaj.org/article/18f1493d273a42149a99421eb3fb50cb
Autor:
D. E. Kataev, E. Y. Kutyakov
Publikováno v:
Systems Science & Control Engineering, Vol 10, Iss 1, Pp 428-435 (2022)
This paper introduces a finite-time generalization of Lyapunov modal contributions (LMC) – a technique for energy-based selective modal analysis. The main focus is a case study involving a system with physically meaningful squared output and consid
Externí odkaz:
https://doaj.org/article/d13b165a6c9f4264a8710381354cf85b
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