This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or nece...
Abstract. We establish results for the problem of tracking a time-dependent manifold arising in realtime optimization by casting this as a parametric generalized equation. We demon...
: The paper introduces particle swarm optimization as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding solu...
Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...
In one dimension, viscosity solutions of Hamilton-Jacobi (HJ) equations can be thought as primitives of entropy solutions for conservation laws. Based on this idea, both theoretica...