Results 61 to 70 of about 419,406 (294)

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

Multi-order fractional nonlinear evolution equations system

Partial Differential Equations in Applied Mathematics
In this paper, the existence and uniqueness of a solution to a multi-order fractional nonlinear evolution equations system are studied by applying Banach’s Fixed Point Theorem and some properties of solution operators associated with the system.
Bambang Hendriya Guswanto, Suroto, Najmah Istikaanah   +2 more
doaj   +1 more source

The Improved exp⁡-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

Advances in Mathematical Physics, 2019
The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ). By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq ...
Guiying Chen, Xiangpeng Xin, Hanze Liu
doaj   +1 more source

Some nonlinear inequalities and applications [PDF]

, 2010
Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
core   +4 more sources

Topological Coherent Modes for Nonlinear Schr\"odinger Equation

, 2002
Nonlinear Schr\"odinger equation, complemented by a confining potential, possesses a discrete set of stationary solutions. These are called coherent modes, since the nonlinear Schr\"odinger equation describes coherent states.
Akhiezer A I, Bogolubov N N, Bogolubov N N, Courteille P W, E P Yukalova, Fetter A L, Gross E P, Kuklov A B, Mandel L, Pitaevskii L P, Serov V V, V I Yukalov, Yukalov V I, Yukalov V I, Yukalov V I, Yukalov V I, Zhidkov P E   +16 more
core   +1 more source

Evolution equation for nonlinear Lucassen waves [PDF]

The Journal of the Acoustical Society of America, 2019
A nonlinear, fractional, surface-wave equation was developed recently by Kappler et al. [Phys. Rev. Fluids 2, 114804 (2017)] for propagation along an elastic interface coupled to a viscous incompressible medium. Linear theory for attenuation and dispersion of such a wave was developed originally by Lucassen [Trans. Faraday Soc.
Blake E. Simon, John M. Cormack, Mark F. Hamilton   +2 more
openaire   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

Exact Solutions for the Modified KdV and the Generalized KdV Equations via Exp-Function Method

Journal of Mathematical Extension, 2010
An application of the Exp-function method (EFM) to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the modified KdV equation and the generalized KdV equation.
J. Manafian Heris, M. Bagheri
doaj  

Superposition in nonlinear wave and evolution equations

, 2005
Real and bounded elliptic solutions suitable for applying the Khare-Sukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified Kadomtsev-Petviashvili equation (gmKPE) and the nonlinear cubic ...
A. Khare, A. Khare, A. Khare, D. Baldwin, F. Cooper, H. W. Schürmann, H. W. Schürmann, H. W. Schürmann, I. N. Bronstein, J. Nickel, K. Chandrasekharan, K. Weierstrass, M. Abramowitz, M. Jaworski, M. Wadati, P. G. Drazin, V. S. Serov, W. Hereman   +17 more
core   +2 more sources

Remarks on Nonlinear Evolution Equations

Journal of Mathematical Analysis and Applications, 1996
In the paper fully nonlinear evolution equations \[ {du \over dt} +A(t,u,u) = 0, \quad 0\leq t\leq T,\quad u(0) =\varphi, \] in a Banach space \(X\) are considered. Here \(T>0\), \(A\) is a nonlinear mapping of a subset \(D(A) \subset [0,T] \times X \times X\) into \(X\) and \(\varphi \in X\).
openaire   +2 more sources