An asymptotic stability and a uniform asymptotic stability for functional-differential equations [PDF]
Proceedings of the American Mathematical Society, 1993 We consider a system of functional differential equation x ′ ( t ) = F ( t , x t )
Younhee Ko
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A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation [PDF]
Mathematics, 2020 The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied.
Watcharin Chartbupapan +2 more
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Asymptotic stability for dynamic equations on time scales
Advances in Difference Equations, 2006 We examine the conditions of asymptotic stability of second-order linear dynamic equations on time scales. To establish asymptotic stability we prove the stability estimates by using integral representations of the solutions via asymptotic solutions ...
Hovhannisyan Gro
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Asymptotic behaviours of stochastic differential delay equations [PDF]
, 2005 Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi +3 more
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Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [PDF]
, 2008 The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui +4 more
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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
, 2011 Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Qi Luo +5 more
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Asymptotic stability of the Skyrmion [PDF]
Physical Review D, 2007 We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal form of a superposition of two effects: exponentially damped oscillations (the quasinormal ringing) and a power law decay (the tail).
Bizoń, Piotr +2 more
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Obstructions to Asymptotic Stabilization
SIAM Journal on Control and Optimization, 2023 Accepted to SIAM J Control and ...
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Stability of hybrid stochastic retarded systems [PDF]
, 2008 -In the past few years, hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), including hybrid stochastic delay systems, have been intensively studied. Among the key results, Mao et al.
Huang, Lirong, Deng, Feiqi, Mao, Xuerong
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Active Damping Adaptive Controller for Grid-Connected Inverter Under Weak Grid
IEEE Access, 2021 The stability of grid-connected inverters is very sensitive to varying grid impedance, especially in the weak grid condition. In this paper, based on the Lyapunov method and with the micro-grid impedance identification, an active damping adaptive control
Hong Li +4 more
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