Results 181 to 190 of about 3,365 (199)
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Liapunov equations for time-varying linear systems
Systems & Control Letters, 1987The object of this paper is to give characterizations of the exponential stability of linear time-varying deterministic and stochastic systems in Hilbert spaces, using the Lyapunov differential equations. Generalizations of well-known results of Datko about exponential stability of evolutionary processes are obtained.
Da Prato, Giuseppe, Ichikawa, Akira
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Neurocomputing, 2020
Abstract The time-varying Lyapunov equation is an important problem that has been extensively employed in the engineering field and the Zeroing Neural Network (ZNN) is a powerful tool for solving such problem. However, unpredictable noises can potentially harm ZNN’s accuracy in practical situations.
Zeshan Hu +4 more
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Abstract The time-varying Lyapunov equation is an important problem that has been extensively employed in the engineering field and the Zeroing Neural Network (ZNN) is a powerful tool for solving such problem. However, unpredictable noises can potentially harm ZNN’s accuracy in practical situations.
Zeshan Hu +4 more
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2008 Fourth International Conference on Natural Computation, 2008
In view of the great potential in parallel processing and ready implementation via hardware, neural networks are now often employed to solve online matrix algebraic problems. Recently, a special kind of recurrent neural network has been proposed by Zhang et al, which could be generalized to solving online Lyapunov equation with time-varying coefficient
Yunong Zhang, Chenfu Yi
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In view of the great potential in parallel processing and ready implementation via hardware, neural networks are now often employed to solve online matrix algebraic problems. Recently, a special kind of recurrent neural network has been proposed by Zhang et al, which could be generalized to solving online Lyapunov equation with time-varying coefficient
Yunong Zhang, Chenfu Yi
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International Journal of Robust and Nonlinear Control, 2011
AbstractThis article presents a Lyapunov–Krasovskii formulation of scaled small gain problem for systems described by coupled differential‐difference equations. This problem includes H∞ problem with block‐diagonal uncertainty as a special case. A discretization may be applied to reduce the conditions into linear matrix inequalities.
Gu, Keqin, Zhang, Yashun, Xu, Shengyuan
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AbstractThis article presents a Lyapunov–Krasovskii formulation of scaled small gain problem for systems described by coupled differential‐difference equations. This problem includes H∞ problem with block‐diagonal uncertainty as a special case. A discretization may be applied to reduce the conditions into linear matrix inequalities.
Gu, Keqin, Zhang, Yashun, Xu, Shengyuan
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On stability of linear systems with time-varying delay: generalized Lyapunov equation
1999 IEEE Africon. 5th Africon Conference in Africa (Cat. No.99CH36342), 1999This paper presents some delay independent stability criteria for linear systems with time-varying delay. The main result is stated in terms of the so-called generalized Lyapunov equation. Optimization and simplification of the main result are discussed in detail.
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IEEE Transactions on Neural Networks and Learning Systems
As an extension of the Lyapunov equation, the time-varying plural Lyapunov tensor equation (TV-PLTE) can carry multidimensional data, which can be solved by zeroing neural network (ZNN) models effectively. However, existing ZNN models only focus on time-varying equations in field of real number.
Biao Luo, Yongjun He, Lin Xiao
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As an extension of the Lyapunov equation, the time-varying plural Lyapunov tensor equation (TV-PLTE) can carry multidimensional data, which can be solved by zeroing neural network (ZNN) models effectively. However, existing ZNN models only focus on time-varying equations in field of real number.
Biao Luo, Yongjun He, Lin Xiao
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Systems and Control Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Zhou, Jiacheng Dong
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Zhou, Jiacheng Dong
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IEEE Transactions on Neural Networks and Learning Systems
The time-varying Lyapunov equation (TVLE) plays a crucial role in control design and system stability. However, there has been limited research conducted on the time-varying generalized Lyapunov equation in the quaternion field. To tackle the time-varying quaternion generalized Lyapunov equation, a nonlinear noise-resistant zeroing neural network (NNR ...
Yongjun He, Biao Luo, Lin Xiao
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The time-varying Lyapunov equation (TVLE) plays a crucial role in control design and system stability. However, there has been limited research conducted on the time-varying generalized Lyapunov equation in the quaternion field. To tackle the time-varying quaternion generalized Lyapunov equation, a nonlinear noise-resistant zeroing neural network (NNR ...
Yongjun He, Biao Luo, Lin Xiao
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International Journal of Control, 2018
In this paper, we first show a class relation between the eigenvalue of functional matrix derivative and the derivative of function matrix eigenvalue.
Jianzhou Liu, Juan Zhang, Quanbing Li
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In this paper, we first show a class relation between the eigenvalue of functional matrix derivative and the derivative of function matrix eigenvalue.
Jianzhou Liu, Juan Zhang, Quanbing Li
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International Journal of Control, 2011
A new reliable algorithm for computing -norm of linear time-varying periodic (LTP) systems in continuous-time domain is proposed in this article. The solving of -norm is firstly transformed into the solving of the periodic Lyapunov differential equation (PLDE).
Haijun Peng, Zhi-Gang Wu, Wanxie Zhong
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A new reliable algorithm for computing -norm of linear time-varying periodic (LTP) systems in continuous-time domain is proposed in this article. The solving of -norm is firstly transformed into the solving of the periodic Lyapunov differential equation (PLDE).
Haijun Peng, Zhi-Gang Wu, Wanxie Zhong
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