๐”– Bobbio Scriptorium
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On asymptotically stabilizing feedback control of bilinear systems

โœ Scribed by Ryan, E.; Buckingham, N.


Book ID
125418189
Publisher
IEEE
Year
1983
Tongue
English
Weight
197 KB
Volume
28
Category
Article
ISSN
0018-9286

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โœ H. Bounit ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 376 KB

Necessary and sufficient condition are given for state feedback stabilization of distributed control bilinear systems. The results are based on the theory of linear and nonlinear contraction semigroups.

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Approximations to nonlinear optimal control based on solving a Riccati equation which varies with the state have been put forward in the literature. It is known that such algorithms are asymptotically optimal given large scale asymptotic stability. This paper presents an analysis for estimating the

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โœ A.Y. Khapalov; R.R. Mohler ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 526 KB

Sufficient conditions for the asymptotic stabilization in a preassigned domain of the nonhomogeneous bilinear system (BLS) via piecewise-constant feedback are given, based on those for an auxiliary BLS with additional control in the drift term. Application to the swing equation is also discussed. (~