On Stability Definitions of Dynamical Systems

Demetrios G. Magiros
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Demetrios G. Magiros: General Electric Company, Valley Forge Space Technology Center

Chapter 30 in Selected Papers of Demetrios G. Magiros, 1985, pp 353-359 from Springer

Abstract: Abstract Introduction.—The dominant subject in the analysis of dynamical systems is the stability of the insuing motion. Many fields of interest under current research involve dynamical systems. These range from fields such as astrodynamics, meteorology, and control systems to biology, chemistry, medicine, and economics. In each of these fields dynamical systems can be formulated, and their stability can be examined as special cases of stability problems in dynamics. During recent years the stability concepts of dynamical systems have been advanced, either by modifying old ideas or by creating new stability concepts. These advances permit a deeper penetration into the more profound stability problems.

Keywords: Asymptotic Stability; Absolute Stability; Small Disturbance; Stability Concept; Total Stability (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-94-009-5368-0_30

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