Results 1 to 10 of about 111,190 (169)

Robust recursive estimation for the errors-in-variables nonlinear systems with impulsive noise. [PDF]

Sci Rep
The non-Gaussian characteristic of the external disturbance poses a great challenge for system modeling and identification. This paper develops a robust recursive estimation algorithm for the errors-in-variables nonlinear system with the impulsive noise.
Wang X, Zhu F.
europepmc   +2 more sources

Stability of Solutions to Systems of Nonlinear Differential Equations with Discontinuous Right-Hand Sides: Applications to Hopfield Artificial Neural Networks

Mathematics, 2022
In this paper, we study the stability of solutions to systems of differential equations with discontinuous right-hand sides. We have investigated nonlinear and linear equations.
Ilya Boykov, Vladimir Roudnev, Alla Boykova   +2 more
doaj   +1 more source

On Stabilizability of Nonbilinear Perturbed Descriptor Systems

International Journal of Differential Equations, 2023
One way in which nonlinear descriptor systems of (index-k) naturally arise is through semiexplicit differential-algebraic equations. The study considers the nonbilinear dynamical systems which are described by the class of higher-index differential ...
Ghazwa F. Abd
doaj   +1 more source

Two-dimensional O(n) models and logarithmic CFTs

Journal of High Energy Physics, 2020
We study O(n)-symmetric two-dimensional conformal field theories (CFTs) for a continuous range of n below two. These CFTs describe the fixed point behavior of self-avoiding loops. There is a pair of known fixed points connected by an RG flow.
Victor Gorbenko, Bernardo Zan
doaj   +1 more source

Controlled Invariant Sets of Discrete-Time Linear Systems with Bounded Disturbances

Mathematics, 2023
This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances.
Chengdan Wang, Hongli Yang, Ivan Ganchev Ivanov   +2 more
doaj   +1 more source

When Is σ (A(t)) ⊂ {z ∈ ℂ; ℜz ≤ −α < 0} the Sufficient Condition for Uniform Asymptotic Stability of LTV System ẋ = A(t)x?

Mathematics, 2022
In this paper, the class of matrix functions A(t) is determined for which the condition that the pointwise spectrum σ(A(t))⊂z∈C;ℜz≤−α for all t≥t0 and some α>0 is sufficient for uniform asymptotic stability of the linear time-varying system x˙=A(t)x.
Robert Vrabel
doaj   +1 more source

Logarithmic Lipschitz norms and diffusion-induced instability [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2013
This paper proves that contractive ordinary differential equation systems remain contractive when diffusion is added. Thus, diffusive instabilities, in the sense of the Turing phenomenon, cannot arise for such systems. An important biochemical system is shown to satisfy the required conditions.
Aminzare, Zahra, Sontag, Eduardo D.
openaire   +4 more sources

Bounds of the logarithmic mean [PDF]

, 2013
We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on matrix power mean.Comment: The second assertion in (i) of Proposition 5.2 was
Furuichi, Shigeru, Yanagi, Kenjiro
core   +2 more sources

Unitarily invariant norm inequalities for some means [PDF]

, 2014
We introduce some symmetric homogeneous means, and then show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki.
Furuichi, Shigeru
core   +2 more sources

Facilitating Numerical Solutions of Inhomogeneous Continuous Time Markov Chains Using Ergodicity Bounds Obtained with Logarithmic Norm Method

Mathematics, 2020
The problem considered is the computation of the (limiting) time-dependent performance characteristics of one-dimensional continuous-time Markov chains with discrete state space and time varying intensities. Numerical solution techniques can benefit from
Alexander Zeifman, Yacov Satin, Ivan Kovalev, Rostislav Razumchik, Victor Korolev   +4 more
doaj   +1 more source