Results 21 to 30 of about 30,360 (174)
A Unified Approach to High-Gain Adaptive Controllers [PDF]
It has been known for some time that proportional output feedback will stabilize MIMO, minimum-phase, linear time-invariant systems if the feedback gain is sufficiently large.
DaCunha, Jeffrey J.+2 more
core +4 more sources
Regularization dependence of the OTOC. Which Lyapunov spectrum is the physical one? [PDF]
We study the contour dependence of the out-of-time-ordered correlation function (OTOC) both in weakly coupled field theory and in the Sachdev-Ye-Kitaev (SYK) model. We show that its value, including its Lyapunov spectrum, depends sensitively on the shape of the complex time contour in generic weakly coupled field theories.
arxiv +1 more source
Zonal Jets as Transport Barriers in Planetary Atmospheres [PDF]
The connection between transport barriers and potential vorticity (PV) barriers in PV-conserving flows is investigated with a focus on zonal jets in planetary atmospheres. A perturbed PV-staircase model is used to illustrate important concepts. This flow
Beron-Vera, F. J.+5 more
core +2 more sources
Singular integral operators. The case of an unlimited contour
Let \(\Gamma\)be a closed or unclosed unlimited contour, a shift \(\alpha(t)\) maps homeomorphicly the contour \(\Gamma\) onto itself with preserving or reversing the direction on \(\Gamma\) and also satisfies the conditions: for some natural \(n\geq2\),
V. Neaga
doaj +2 more sources
Systematic Stabilization of Constrained Piecewise Affine Systems [PDF]
This paper presents an efficient, offline method to simultaneously synthesize controllers and seek closed-loop Lyapunov functions for constrained piecewise affine systems on triangulated subsets of the admissible states. Triangulation refinements explore a rich class of controllers and Lyapunov functions.
arxiv
Convergence and nonconvergence in a nonlocal gradient flow
Abstract We study the asymptotic convergence as t→∞$t\rightarrow \infty$ of solutions of ∂tu=−f(u)+∫f(u)$\partial _t u=-f(u)+\int f(u)$, a nonlocal differential equation that is formally a gradient flow in a constant‐mass subspace of L2$L^2$ arising from simplified models of phase transitions. In case the solution takes finitely many values, we provide
Sangmin Park, Robert L. Pego
wiley +1 more source
Floquet Stability Analysis of Ott-Grebogi-Yorke and Difference Control [PDF]
Stabilization of instable periodic orbits of nonlinear dynamical systems has been a widely explored field theoretically and in applications. The techniques can be grouped in time-continuous control schemes based on Pyragas, and the two Poincar\'e-based ...
Claussen, Jens Christian
core +2 more sources
This study explores the dynamics of a discrete‐time predator–prey system, incorporating a Holling type III functional response and prey refuge, through the piecewise constant argument method. This method keeps things consistent and prevents negative population values, which is often a drawback of older techniques. We take a closer look at fixed points,
Faisal Alsharif+6 more
wiley +1 more source
Non-hermitean delocalization in an array of wells with variable-range widths
Nonhermitean hamiltonians of convection-diffusion type occur in the description of vortex motion in the presence of a tilted magnetic field as well as in models of driven population dynamics. We study such hamiltonians in the case of rectangular barriers
B. Souillard+15 more
core +1 more source
The study examines the convergence analysis of a higher order approximation for a transport equation with both nonhomogeneous and homogeneous boundary conditions by using the Crank–Nicolson and their modified schemes. Using the Taylor series expressions, the suggested numerical schemes are created. Von Neumann stability analysis combined with the error‐
Kedir Aliyi Koroche+2 more
wiley +1 more source