A Stability Criterion Based on the Return Difference
Bibliographic Data
| ID | 20472974 |
|---|---|
| Authors | C F Chen (0009-0002-1778-5003, University of Houston), N F Tsang (University of Arkansas at Fayetteville) |
| Year | 1967 |
| Volume | 10 |
| Issue | 3 |
| Pages | 180-182 |
| Publication date | 1967-09-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | IEEE Transactions on Education (JOURNAL) |
| Journal identifiers | ISSN: 0018-9359 • E-ISSN: 1557-9638 |
| Publisher | IEEE Education Society (PUBLISHER) |
| DOI | 10.1109/te.1967.4320274 |
| OpenAlex | W2010238819 |
| Language | EN |
| Citations received | 1 |
| References cited | 5 |
A simple stability criterion based on the return difference is established: Draw the phase plot of the return difference 1 + GH(jω) vs. ω, if and only if θ(∞)-∞(0) = (n + 2m) π/2, the system is stable, where n is the number of poles of GH(jω) at the origin and m is that in the right half plane; θ(∞) and θ(0) are the phase angles of "1 + GH(iω)" at ω = ∞ and at ∞ = 0, respectively
Complex plane · Geometry · Mathematical analysis · Phase (matter) · Phase difference · Physics · Plane (geometry) · Quantum mechanics · Simple (philosophy) · Stability (learning theory) · Advanced Thermodynamics and Statistical Mechanics · Computer Science · Mathematics · Nonlinear Dynamics and Pattern Formation · Philosophy
| Citations per year | 0.02 |
|---|---|
| Citation span | 1970 - 1970 (1) |
| Highly cited | No |