Stability of Diced Systems.
Abstract
Diced systems are defined as autonomous systems governed by ordinary differential equations having discontinuities (in R to the nth power) on submainfolds where one or more of the state variables takes an integer value. Such systems may be regarded as approximations of continuous systems or as representative models of a class of discontinuous systems. Trajectories of such systems (for a given initial state) are readily calculated and may exhibit complex sliding-mode segments. Asymptotic properties of such trajectories are discussed and classified. Motivation is given in terms of observed properties of interconnected power systems. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1980
- Accession Number
- ADA086685
Entities
People
- T. L. Johnson
Organizations
- Massachusetts Institute of Technology