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On the Ψ – Conditional Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 It is proved (necessary and) suficient conditions for Ψ conditional stability of the trivial solution of linear or nonlinear Lyapunov matrix differential ...
Diamandescu Aurel
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On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations [PDF]
Annals of the West University of Timisoara: Mathematics and Computer Science, 2016 It is proved (necessary and) sufficient conditions for Ψ– conditional exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential ...
Diamandescu Aurel
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Annals of the West University of Timisoara: Mathematics and Computer ScienceThe aim of this paper is to give sufficient conditions for Ψ − conditional asymptotic stability of the Ψ − bounded solutions of a nonlinear Lyapunov matrix differential equation with integral term as right side.
Diamandescu Aurel
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Finite-time complete periodic synchronization of memristive neural networks with mixed delays
Scientific Reports, 2023 In this paper we study the oscillatory behavior of a new class of memristor based neural networks with mixed delays and we prove the existence and uniqueness of the periodic solution of the system based on the concept of Filippov solutions of the ...
Hajer Brahmi +5 more
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Some Unsolved Problems in Stability and Optimal Control Theory of Stochastic Systems
Mathematics, 2022 In spite of the fact that the theory of stability and optimal control for different types of stochastic systems is well developed and very popular in research, there are some simply and clearly formulated problems, solutions of which have not been found ...
Leonid Shaikhet
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Discrete Dynamics in Nature and Society, 2014 By combining parabolic partial differential equation (PDE) theory with Lyapunov technique, the synchronization is studied for a class of coupled distributed parameter systems (DPS) described by PDEs.
Kun Yuan +4 more
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Passive Stabilization of Static Output Feedback of Disturbed Nonlinear Stochastic System
Mathematics, 2023 This paper investigates the Static Output (SO) control issue of the disturbed nonlinear stochastic system, which achieves passivity. Through the application of fuzzy sets and the stochastic differential equation, a Takagi–Sugeno (T-S) fuzzy model with ...
Ping-Tzan Huang +3 more
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Complexity, 2020 In this paper, the finite-time stabilization and destabilization of a class of quaternion-valued neural networks (QVNNs) with discrete delays are investigated.
Huiling Duan +3 more
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Achieving Synchronization in Arrays of Coupled Differential Systems with Time-Varying Couplings
Abstract and Applied Analysis, 2013 We study complete synchronization of the complex dynamical networks described by linearly coupled ordinary differential equation systems (LCODEs). Here, the coupling is timevarying in both network structure and reaction dynamics. Inspired by our previous
Xinlei Yi, Wenlian Lu, Tianping Chen
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A Matrix-Operator Formulation of Conformable Sylvester and Lyapunov Differential Matrix Equations
Journal of MathematicsThis paper presents a systematic matrix-operator formulation for linear Sylvester and Lyapunov matrix differential equations governed by the conformable derivative.
Ibtisam Aldawish +3 more
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