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Dual approach to Lyapunov stability

โœ Scribed by Michalak, Anna

Book ID
120477789
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
386 KB
Volume
85
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

A dual to Lyapunov's stability theorem
A dual to Lyapunov's stability theorem
โœ Anders Rantzer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

Lyapunov's second theorem is a standard tool for stability analysis of ordinary di erential equations. Here we introduce a theorem which can be viewed as a dual to Lyapunov's result. From existence of a scalar function satisfying certain inequalities it follows that "almost all trajectories" of the

ON THE LYAPUNOV APPROACH TO ROBUST STABI
ON THE LYAPUNOV APPROACH TO ROBUST STABILIZATION OF UNCERTAIN NONLINEAR SYSTEMS
โœ FEDERICO NAJSON; ELIEZER KREINDLER ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 923 KB

In the Lyapunov approach employed in this paper, known in the literature as Lyapunov control, or minmar control, robust, global uniform asymptotic stability is achieved by a discontinuous control law which ensures that the Lyapunov derivative is negative despite bounded uncertainty. For that, it is