Results 11 to 20 of about 4,196,277 (360)
Transverse exponential stability and applications [PDF]
IEEE Transactions on Automatic Control, 2016 We investigate how the following properties are related to each other: i)-A manifold is "transversally" exponentially stable; ii)-The "transverse" linearization along any solution in the manifold is exponentially stable; iii)-There exists a field of ...
Andrieu, Vincent +2 more
core +9 more sources
Exponential Stability of Evolutionary Equations [PDF]
, 2021 AbstractIn this chapter we study the exponential stability of evolutionary equations. Roughly speaking, exponential stability of a well-posed evolutionary equation $$\displaystyle \left (\partial _{t,\nu }M(\partial _{t,\nu })+A\right )U=F $$ ∂
Christian Seifert +2 more
openaire +1 more source
Characterizations of Global Transversal Exponential Stability [PDF]
IEEE Transactions on Automatic Control, 2021 We study the relationship between the global exponential stability of an invariant manifold and the existence of a positive semi-definite Riemannian metric which is contracted by the flow. In particular, we investigate how the following properties are related to each other (in the global case): i).
Vincent Andrieu +2 more
openaire +2 more sources
H∞ Control of Discrete-Time Stochastic Systems With Borel-Measurable Markov Jumps
IEEE Access, 2020 This paper is concerned with a kind of discrete-time stochastic systems with Markov jump parameters taking values in a Borel measurable set. First, both strong exponential stability and exponential stability in the mean square sense are introduced for ...
Hongji Ma, Yuechen Cui, Yongli Wang
doaj +1 more source
Stability analysis for (ω,c)-periodic non-instantaneous impulsive differential equations
AIMS Mathematics, 2022 In this paper, the stability of (ω,c)-periodic solutions of non-instantaneous impulses differential equations is studied. The exponential stability of homogeneous linear non-instantaneous impulsive problems is studied by using Cauchy matrix, and some ...
Kui Liu
doaj +1 more source
Mathematics, 2022 In this paper, quantitative mean square exponential stability and stabilization of Itô-type linear stochastic Markovian jump systems with Brownian and Poisson noises are investigated.
Gaizhen Chang +4 more
doaj +1 more source
Exponential stability of stochastic Hopfield neural network with mixed multiple delays
AIMS Mathematics, 2021 This paper investigates the problem for exponential stability of stochastic Hopfield neural networks involving multiple discrete time-varying delays and multiple distributed time-varying delays.
Qinghua Zhou +3 more
doaj +1 more source
Linear stability of exponential density profiles [PDF]
Journal of Plasma Physics, 1971 The problem of the linear stability of a plasma with density profilesin a homogeneous magnetic field B = îzB0 has been solved exactly. The dispersion relation leads to stability criteria less severe than those obtained in the local approximation. As examples, we consider Bernstein waves and the low-frequency drift instability. In the second example the
Croci, R., Saison, R.
openaire +3 more sources
Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
doaj +1 more source
Mathematics, 2023 In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
doaj +1 more source