More specifically, near normally hyperbolic equilibria, fast and slow dynamics within a singularly perturbed system evolve as O ( 1 ) and O , respectively.
But with the world economy slowing, it is singularly ill-timed nonetheless.
Inside the family's modest, gracious house, the film relaxes and slows down, and Mr. Daniels reveals himself, once again, to be singularly adept at capturing the informal rhythms of leisure.
In this article, a modeling framework is proposed for two-time-scale chemical processes modeled by nonlinear ordinary differential equations (ODEs) with large parameters of the form 1ε, to obtain a standard singularly perturbed representation where the slow and fast variables are explicitly separated.
The paper outlines sensor fault-detection and isolation of singularly perturbed systems (SPS) using the slow subsystem.
The design of a mixed H2/H∞ linear state variable feedback (LSVF) suboptimal controller for a continuoustime singularly perturbed system using reduced order slow and fast subsystems is described.
The control problem is formulated into a singularly perturbed form which contains a slow rigid robot dynamics and a fast SEA dynamics.
The design of a mixed H2/H∞ linear state variable feedback suboptimal controller for a discrete-time singularly perturbed system using reduced order slow and fast subsystems is described.
Decomposition of the singularly perturbed systems into the fast and slow subsystems is shown.
Rubin and Wechselberger (Biol. Cybern. 97 5 32, 2007) nondimensionalized this model and obtained a singularly perturbed system with two fast, two slow variables, and an explicit time-scale ratio ε.
In the proposed approach the original system is decomposed into two subsystems as slow and fast models by the singularly perturbed method.
