Overdamped and Underdamped Linear Dynamical Systems

✍ Scribed by F.M. Reza

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 625 KB
• Volume: 313
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(82)90004-7

✦ Synopsis

Conditions are given for underdamped or overdamped linear dynamical systems in terms of loop matrix parameters, (~(C)R-/(C)g,g)* 5 4(~/(C)L~/(C)g.,@ for all IJg(l = 1, g E H. These criteria are looked upon as natural generalizations of the elementary one-loop RLC series scalar criteria (R/2L)* 5 l/LC, when written in the more suggestive form:

(d(C)Rd(C))2 5 4X@)Ld/(C).

A simplified test for determining dynamical systems with all complex natural modes or all real modes are presented with additional comments.