Empirical Methods for Determining the Stability or Instability of Certain Transfer Functions

✍ Scribed by Richard Datko

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 134 KB
• Volume: 218
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1997.5800

✦ Synopsis

We present some empirical methods for determining whether a linear autonomous dynamical system which has a known analytic transfer function is stable or unstable. These methods are based on the Poisson Integral representation for H ϱ mappings. Approximations of these integrals are often easily implemented by standard numerical packages, such as MATLAB, and thus present practical procedures for determining whether a given transfer function does or does not belong to H ϱ .