Results 11 to 20 of about 922,489 (214)
On Controllability and Observability of Fuzzy Dynamical Matrix Lyapunov Systems [PDF]
Advances in Fuzzy Systems, 2008 We provide a way to combine matrix Lyapunov systems with fuzzy rules to form a new fuzzy system called fuzzy dynamical matrix Lyapunov system, which can be regarded as a new approach to intelligent control. First, we study the controllability property of
M. S. N. Murty, G. Suresh Kumar
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A trek rule for the Lyapunov equation
Algebraic StatisticsThe Lyapunov equation is a linear matrix equation characterizing the cross-sectional steady-state covariance matrix of a Gaussian Markov process. We show a new version of the trek rule for this equation, which links the graphical structure of the drift of the process to the entries of the steady-state covariance matrix.
Hansen, Niels Richard
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Exact Lyapunov spectra of affine cellular automata and the parity rule on networks
The Lyapunov exponent quantifies the sensitivity of a dynamical system to perturbations, and the full Lyapunov spectrum extends this to every orthogonal direction in tangent space. For cellular automata the spectrum is almost always approximated numerically, and the approximation is delicate.
Michiel Rollier, Jan M. Baetens
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Stability Analysis of Switched Linear Singular Systems with Unstable and Stable Modes
Entropy, 2023 In this paper, stability is studied for a class of switched singular systems containing both stable and unstable modes. By introducing a time-varying piecewise Lyapunov function (TVPLF) and a mode-dependent average dwell time (ADT) switching rule, the ...
Jiandong Xiong +3 more
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Frequency Containment Control of Hydropower Plants Using Different Adaptive Methods
Energies, 2021 With the growth in the share of variable renewable energy sources, fluctuations in the power generation caused by these types of power plants can diminish the stability and flexibility of the grid.
Doğan Gezer +2 more
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Stability of quantum motion: Beyond Fermi-golden-rule and Lyapunov decay [PDF]
Physical Review E, 2004 We study, analytically and numerically, the stability of quantum motion for a classically chaotic system. We show the existence of different regimes of fidelity decay which deviate from Fermi Golden rule and Lyapunov decay.
Wang, W.-G., Casati, G., Li, B.
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Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching
Mathematics, 2022 This paper studies the stability of linear switched systems with time-varying delays and all unstable subsystems. According to the largest region function strategy, the state-dependent switching rule is designed.
Chao Liu, Xiaoyang Liu
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Planar mixed flow and chaos: Lyapunov exponents and the conjugate-pairing rule [PDF]
The Journal of Chemical Physics, 2011 In this work we characterize the chaotic properties of atomic fluids subjected to planar mixed flow, which is a linear combination of planar shear and elongational flows, in a constant temperature thermodynamic ensemble. With the use of a recently developed nonequilibrium molecular dynamics algorithm, compatible and reproducible periodic boundary ...
Bernardi, Stefano +3 more
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Determining the domain of attraction of hybrid non-linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
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Lyapunov inequalities and applications
, 2021 This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic.
Bohner, Martin +9 more
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