Results 101 to 110 of about 1,550,223 (212)

Nonholonomic and Discrete Hamilton-Jacobi Theory. [PDF]

The first part of the thesis discusses an extension of Hamilton-Jacobi theory to nonholonomic mechanics with a particular interest in its application to exactly integrating the equations of motion. The major advantage of our result is that it provides us
Ohsawa, Tomoki
core   +5 more sources

Some Problems on the Hamilton-Jacobi Equation [PDF]

, 1987
I shall devote attention to some old, but still open, problems on the Hamilton-Jacobi equation reviewing the context in which they arise.
openaire   +2 more sources

Advancements in Quadrotor UAVs: Trajectory Tracking and Energy Optimal Control Using PINN and HJ Formalism for Quadrotor UAV Dynamics

Guidance, Navigation and Control
This paper presents a comprehensive dynamic analysis of Quadrotor unmanned aerial vehicles (UAVs) using the Hamilton–Jacobi (HJ) formalism for energy-efficient trajectory tracking and stabilization of quadrotor UAVs by unifying Hamilton–Jacobi–Bellman ...
Benaly Mohamed, Benaly Ayoub, Abdelkader Mezouari, Abdelkader Hadjoudja, Laamari Hlou, Rachid El Gouri   +5 more
doaj   +1 more source

Resurgence in a Hamilton-Jacobi equation [PDF]

, 2002
We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching.
Martínez-Seara Alonso, M. Teresa, Sauzin, D., Olivé, Carme   +2 more
core  

An advection–diffusion equation with a generalized advection term: Well-posedness analysis and examples

Examples and Counterexamples
We consider a Cauchy–Dirichlet problem for a semilinear advection–diffusion equation with a generalized advection term. Specific examples include an incision–diffusion landscape evolution model and a viscous Hamilton–Jacobi equation with an absorbing ...
Tetyana Malysheva, Luther W. White
doaj   +1 more source

Regularity theory for Hamilton–Jacobi equations

Journal of Differential Equations, 2003
The author studies the regularity and stability under small perturbations of viscosity solutions of Hamilton-Jacobi equations \(H(P+D_x u, x)=\overline{H}(P),\) where \(H(p,x):\mathbb{R}^{2n}\rightarrow \mathbb{R}\) is a strictly convex smooth Hamiltonian (\(D^{2}_{vv} L(x,v)>\gamma >0\) uniformly and coercive in \(p, \lim_{|p|\rightarrow\infty} \frac ...
openaire   +2 more sources

Equilibrium Points for Optimal Investment with Vintage Capital [PDF]

The paper concerns the study of equilibrium points, namely the stationary solutions to the closed loop equation, of an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations. Sufficient conditions for
Silvia Faggian
core  

The Hamilton-Jacobi Difference Equation

, 2007
. We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R 2m . In particular, we construct a differential-difference equation which we call the Hamilton-Jacobi difference ...
N. A. Elnatanov, Jeremy Schiff
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Maximum Principle for Boundary Control Problems Arising in Optimal Investment with Vintage Capital [PDF]

The paper concerns the study of the Pontryagin Maximum Principle for an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations.
Silvia Faggian
core  

Gradient Descent Approaches to Neural-Net-Based Solutions of the Hamilton-Jacobi-Bellman Equation

, 2018
We investigate new approaches to dynamic-programming-based optimal control of continuous time-and-space systems. We use neural networks to approximate the solution to the Hamilton-Jacobi-Bellman (HJB) equation which is a first-order, nonlinear, partial ...
Andrew W Moore (5401907), Remi Munos (5399228), Leemon C. Baird (5402204)   +2 more
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