Results 11 to 20 of about 276,545 (338)

Characterizations of Global Transversal Exponential Stability [PDF]

open access: yesIEEE 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   +4 more sources

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

Stability analysis for (ω,c)-periodic non-instantaneous impulsive differential equations

open access: yesAIMS 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

Quantitative Mean Square Exponential Stability and Stabilization of Linear Itô Stochastic Markovian Jump Systems Driven by Both Brownian and Poisson Noises

open access: yesMathematics, 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

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

open access: yesAdvances 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

Exponential stability of stochastic Hopfield neural network with mixed multiple delays

open access: yesAIMS 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

Digital Light Processing of 2D Lattice Composites for Tunable Self‐Sensing and Mechanical Performance

open access: yesAdvanced Engineering Materials, EarlyView., 2023
The study presents the mechanical and in situ sensing performance of digital light processing‐enabled 2D lattice nanocomposites under monotonic tensile and repeated cyclic loading, and provides guidelines for the design of architectures suitable for strain sensors and smart lightweight structures.
Omar Waqas Saadi   +3 more
wiley   +1 more source

H Control of Discrete-Time Stochastic Systems With Borel-Measurable Markov Jumps

open access: yesIEEE 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

Addendum to ``Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces'' [Electron. J. Qual. Theory Differ. Equ. 2023, No. 8, 1–10]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
We add relevant references about which we learned after the completion of the initial work. We mainly show how the concept of exponential trichotomy can successfully replace the one of exponential dichotomy in some results from the paper in the title.
Adriana Buică
doaj   +1 more source

Exponential Stability of Evolutionary Equations [PDF]

open access: yes, 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

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