Results 21 to 30 of about 37,142 (217)

Globally Exponential Stability and Globally Power Stability of Quaternion-Valued Neural Networks With Discrete and Distributed Delays

IEEE Access, 2020
This paper investigates the stability of a class of quaternion-valued neural networks (QVNNs) with discrete and distributed delays. By decomposing the QVNN and forming an equivalent real-valued vector-matrix differential equation (RVVDE), based on the ...
Huiling Duan, Tao Peng, Zhengwen Tu, Jianlong Qiu, Jianquan Lu   +4 more
doaj   +1 more source

New estimates for the solution of the Lyapunov matrix differential equation [PDF]

The Electronic Journal of Linear Algebra, 2010
In this paper, by using majorization inequalities, upper bounds on summations of eigenvalues (including the trace) of the solution for the Lyapunov matrix differential equation are obtained. In the limiting cases, the results reduce to bounds of the algebraic Lyapunov matrix equation.
Juan Zhang, Jianzhou Liu
openaire   +1 more source

Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]

, 2002
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner, C.M. Newman, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, C.P. Dettmann, Ch. Dellago, D. Gupalo, D. Panja, D. Panja, D. Ruelle, D.J. Evans, D.J. Evans, D.J. Isbister, D.J. Searles, F. Bonetto, G. Benettin, G. Paladin, G.P. Morriss, G.P. Morriss, Gary P. Morriss, H. van Beijeren, H. van Beijeren, H. van Beijeren, H.A. Posch, I. Shimada, J.-P. Eckmann, J.-P. Eckmann, Lj. Milanović, M. Dolowschiák, M.P. Wojtkowski, P. Gaspard, R. Livi, R. van Zon, R. van Zon, S. Sarman, S. Sastry, T. Taniguchi, T. Taniguchi, Tooru Taniguchi, U. Dressler, W.G. Hoover, W.G. Hoover, Ya.G. Sinai   +43 more
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Explicit solutions for a system of coupled Lyapunov differential matrix equations [PDF]

Proceedings of the Edinburgh Mathematical Society, 1987
This paper is concerned with the problem of obtaining explicit expressions of solutions of a system of coupled Lyapunov matrix differential equations of the typewhere Fi, Ai(t), Bi(t), Ci(t) and Dij(t) are m×m complex matrices (members of ℂm×m), for 1≦i, j≦N, and t in the interval [a,b]. When the coefficient matrices of (1.1) are timeinvariant, Dij are
Jodar, L., Mariton, M.
openaire   +2 more sources

Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
It is proved a necessary and sufficient condition for the existence of at least one Ψ- bounded solution of a linear non- homogeneous Lyapunov matrix differential equation.
Diamandescu Aurel
doaj   +1 more source

Analysis and Design of Robust Controller for Polynomial Fractional Differential Systems Using Sum of Squares

Axioms, 2022
This paper discusses the robust stability and stabilization of polynomial fractional differential (PFD) systems with a Caputo derivative using the sum of squares. In addition, it presents a novel method of stability and stabilization for PFD systems.
Hassan Yaghoubi, Assef Zare, Roohallah Alizadehsani   +2 more
doaj   +1 more source

Mild solutions, variation of constants formula, and linearized stability for delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2023
The method and the formula of variation of constants for ordinary differential equations (ODEs) is a fundamental tool to analyze the dynamics of an ODE near an equilibrium.
Junya Nishiguchi
doaj   +1 more source

A New Approach for Exponential Stability Criteria of New Certain Nonlinear Neutral Differential Equations with Mixed Time-Varying Delays

Mathematics, 2019
This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov−Krasovkii functional,
Janejira Tranthi, Thongchai Botmart, Wajaree Weera, Piyapong Niamsup   +3 more
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LMI conditions for some dynamical behaviors of fractional-order quaternion-valued neural networks

Advances in Difference Equations, 2019
This paper addresses the issue of three dynamical behaviors including global Mittag-Leffler stability, robust stability and projection synchronization for fractional-order quaternion-valued neural networks (FQVNNs).
Dongyuan Lin, Xiaofeng Chen, Bing Li, Xujun Yang   +3 more
doaj   +1 more source

Function approximation technique (FAT)-based nonlinear control strategies for smart thin plates with cubic nonlinearities [PDF]

FME Transactions, 2022
The current work introduces three nonlinear control solutions for the regulation of a vibrating nonlinear plate considering model uncertainty. These solutions are feedback linearization control (FBL), virtual velocity error-based control (VVEC), and ...
Al-Shuka Hayder F.N., Abbas Ehab N.
doaj   +1 more source