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A closed analytic form for the time maximum disturbance isochrones of second-order linear systems

✍ Scribed by E.B. Lee; J.C. Luo

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 396 KB
Volume: 40
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(00)00015-3

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✦ Synopsis

It is shown that each time maximum disturbance isochrone (boundary of reachable set) for second-order linear systems with the most stressful bounded disturbance has a closed analytic form. Further it is shown that these isochrones can be constructed by purely geometric methods.

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Necessary and sufficient conditions for

Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second order linear time-invariant systems

✍ Robert N. Shorten; Kumpati S. Narendra 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 227 KB 👁 3 views

## Abstract In this paper, necessary and sufficient conditions are derived for the existence of a common quadra‐tic Lyapunov function for a finite number of stable second order linear time‐invariant systems. Copyright © 2002 John Wiley & Sons, Ltd.