Results 51 to 60 of about 345,070 (184)
Ma-Xu quantization rule and exact WKB condition for translationally shape invariant potentials
, 2010 For translationally shape invariant potentials, the exact quantization rule proposed by Ma and Xu is a direct consequence of exactness of the modified WKB quantization condition proved by Barclay.
A. Bérard +33 more
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An exactly solvable self-convolutive recurrence [PDF]
, 2010 We consider a self-convolutive recurrence whose solution is the sequence of coefficients in the asymptotic expansion of the logarithmic derivative of the confluent hypergeometic function $U(a,b,z)$. By application of the Hilbert transform we convert this
C.M. Bender +15 more
core +1 more source
Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
International Journal of Robust and Nonlinear Control, Volume 36, Issue 3, Page 935-954, February 2026.ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
wiley +1 more source
Engineering and Applied Science LettersTo solve the approximate analytic solutions of the quadratic Riccati differential equations, this study introduces a hybrid method that combines an accelerated variant of the Adomian decomposition method (AADM) proposed by I.
M. A. Ramadan +3 more
semanticscholar +1 more source
IET Intelligent Transport Systems, Volume 20, Issue 1, January/December 2026.ABSTRACT Off‐road path planning and navigation often struggle with complex challenges, such as diverse surface conditions that demand adaptability, stability‐sensitive vehicle dynamics on low‐adhesion terrain, and the persistent trade‐off between real‐time performance and path quality.
Jiang Song +3 more
wiley +1 more source
Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
, 2002 The isospectrality problem is studied for the operator of the spherical hydromagnetic alpha^2-dynamo. It is shown that this operator is formally pseudo-Hermitian (J-symmetric) and lives in a Krein space.
Anderson +29 more
core +4 more sources
The Soliton Equations associated with the Affine Kac-Moody Lie Algebra G_2^{(1)} [PDF]
, 2006 We construct in an explict way the soliton equation corresponding to the affine Kac--Moody Lie algebra $G_2^{(1)}$ together with their bihamiltonian structure.
Casati, Paolo +2 more
core +3 more sources
IET Power Electronics, Volume 19, Issue 1, January/December 2026.This paper presents an LQR‐based strategy for seamless transition between grid‐forming and grid‐following inverters in microgrids. The proposed design integrates the comprehensive control loops of the grid‐forming and grid‐following inverters. A systematic, gradient‐based optimization framework is used for selecting the weighting matrices.
Adel Tatish, Kanchapogu Vaisakh
wiley +1 more source
Dynamical Optical Structure Solutions of the Time‐Fractional Chen‐Lee‐Liu Equation
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this article, we utilize the conformable fractional (CF) derivative to investigate the analytically innovative soliton solutions for the time‐fractional nonlinear perturbed Chen‐Lee‐Liu (CLL) equation in optical fibers. An essential governing equation in nonlinear optics, the perturbed CLL model describes the propagation of ultrashort pulses in ...
Shah Muhammad +4 more
wiley +1 more source
Solvable Systems of Linear Differential Equations
, 2009 The asymptotic iteration method (AIM) is an iterative technique used to find exact and approximate solutions to second-order linear differential equations.
A. Durmus +18 more
core +1 more source