Results 71 to 80 of about 3,521 (216)

Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy

, 1998
We use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can be traded for a system of ordinary differential equations ...
Falqui, Gregorio, Magri, Franco, Pedroni, Marco   +2 more
core   +2 more sources

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

Optimum Weight Selection Based LQR Formulation for the Design of Fractional Order PI{\lambda}D{\mu} Controllers to Handle a Class of Fractional Order Systems

, 2013
A weighted summation of Integral of Time Multiplied Absolute Error (ITAE) and Integral of Squared Controller Output (ISCO) minimization based time domain optimal tuning of fractional-order (FO) PID or PI{\lambda}D{\mu} controller is proposed in this ...
Das, Saptarshi, Das, Shantanu, Gupta, Amitava, Halder, Kaushik, Pan, Indranil   +4 more
core   +1 more source

Exploration of Soliton Solutions and Bifurcation Analysis in Fluid Dynamics Governed by M Fractional (3+1)‐Dimensional Generalized B‐Type Kadomtsev–Petviashvili (gBKP) Equation

Engineering Reports, Volume 8, Issue 2, February 2026.
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar, Md. Abde Mannaf, Anika Rahman, Md. Shahinur Islam, Hure Zannatul Mawa, Parvin Akter   +5 more
wiley   +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, Johannes Köhler, Matthias A. Müller, Carsten W. Scherer, Frank Allgöwer   +4 more
wiley   +1 more source

Oscillation of solutions to nonlinear forced fractional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj  

Decentralised and Centralised Fixed Structure H∞ Robust Loop Shaping for the MIMO Microsurgical Manipulation Based on PSOGSA

IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.
This paper presents a robust H∞ decentralised and centralised control approach for a microsurgical manipulator using Particle Swarm Optimisation and Gravitational Search Algorithm (PSOGSA). The proposed fixed‐structure Proportional‐Integral‐Derivative (PID)‐based controllers address implementation challenges of conventional high‐order H∞ controllers ...
Somyot Kaitwanidvilai, Poom Konghuayrob, Hisayuki Aoyama   +2 more
wiley   +1 more source

A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control

, 2012
We study the infinite horizon Linear-Quadratic problem and the associated algebraic Riccati equations for systems with unbounded control actions. The operator-theoretic context is motivated by composite systems of Partial Differential Equations (PDE ...
Acquistapace P., Avalos G., Bucci F., Bucci F., Francesca Bucci, Irena Lasiecka, Kalman R.E., Paolo Acquistapace, Triggiani R.   +8 more
core   +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, Abdul Saboor, Muhammad Shakeel, Hameed Gul Ahmadzai, Ivan Giorgio   +4 more
wiley   +1 more source

Constructing Traveling Wave Solutions via a Generalized Expansion Method for Nonlinear Evolution Equations Possessing Variable Coefficients

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
In this article, a highly generalized way of studying nonlinear evolution equations (NLEEs) with time‐dependent variable coefficients is provided. The innovative exact solutions of the Kadomtsev–Petviashvili (KP) equation and the modified Korteweg–de Vries (mKdV) equation with temporal variable coefficients are evaluated by using the extended ...
Abdul Saboor, Xianhua Song, Muhammad Shakeel, Muhammad Qamar Fareed, Baboucarr Ceesay, Kang-Jia Wang   +5 more
wiley   +1 more source