The Recursive Algorithm of Linear Quadratic Gaussian (LQG) Problems for Nonstandard Singularly Perturbed Systems

Near-optimal control of nonstandard singularly perturbed systems

Approximation of singularly perturbed linear hyperbolic systems

This paper is concerned with systems modelled by linear singularly perturbed partial differential equations. More precisely a class of linear systems of conservation laws with a small perturbation parameter is investigated. By setting the perturbation parameter to zero, the full system leads to two subsystems, the reduced system standing for the slow dynamics and the boundary-layer system repre...

Error Bounds for Control Constrained Singularly Perturbed Linear-quadratic Optimal Control Problems∗

We present a methodology for bounding the error term of an asymptotic solution to a singularly perturbed optimal control (SPOC) problem whose exact solution is known to be computationally intractable. In previous works, reduced or computationally tractable problems that are no longer dependent on the singular perturbation parameter , where represents a small, nonnegative number, have provided a...

Fem for Singularly Perturbed Problems

We consider the numerical approximation of singularly perturbed elliptic boundary value problems over non-smooth domains. We use a decomposition of the solution that contains a smooth part, a corner layer part and a boundary layer part. Explicit guidelines for choosing mesh-degree combinations are given that yield nite element spaces with robust approximation properties. In particular, we const...

Linear quadratic Nash game-based tracker for multiparameter singularly perturbed sampled-data systems: digital redesign approach

International Journal of General Systems Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713642931 Linear quadratic Nash game-based tracker for multiparameter singularly perturbed sampled-data systems: digital redesign approach Jason Sheng-Hong Tsai a; Zi-Yi Yang a; Shu-Mei Guo b; Leang-San Shieh c; Chia-Wei C...