10,149 research outputs found
General Existence of Solutions to Dynamic Programming Principle
We provide an alternative approach to the existence of solutions to dynamic
programming equations arising in the discrete game-theoretic interpretations
for various nonlinear partial differential equations including the infinity
Laplacian, mean curvature flow and Hamilton-Jacobi type. Our general result is
similar to Perron's method but adapted to the discrete situation
Mathematical control of complex systems
Copyright Ā© 2013 ZidongWang et al.This is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
The determination of asymptotic and periodic behavior of dynamic systems arising in control system analysis Final report
Asymptotic and periodic behavior prediction for nonlinear control system with mathematical model of rigid body vehicl
Mean field games based on the stable-like processes
In this paper, we investigate the mean field games with K classes of agents who are weakly coupled via the empirical measure. The underlying dynamics of the representative agents is assumed to be a controlled nonlinear Markov process associated with rather general integro-differential generators of LĀ“evy-Khintchine type (with variable coefficients), with the major stress on applications to stable and stable- like processes, as well as their various modifications like tempered stable-like processes or their mixtures with diffusions. We show that nonlinear measure-valued kinetic equations describing the dynamic law of large numbers limit for system with large number N of agents are solvable and that their solutions represent 1/N-Nash equilibria for approximating systems of N agents
Reference list for stability theory in ordinary differential equations
Reference list for stability and control theory in ordinary differential equation
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