On global asymptotic stabilization of bilinear systems.
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On global asymptotic stabilization of bilinear systems.

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Published .
Written in English


Book details:

The Physical Object
Pagination111 leaves
Number of Pages111
ID Numbers
Open LibraryOL20334827M

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  5th IFAC International Workshop on Periodic Control Systems The International Federation of Automatic Control July , Caen, France Global Asymptotic Stabilization of Affine Periodic Systems by Damping Control Vasili A. Zaitsev Udmurt State University, Izhevsk, Russia (e-mail: [email protected] ) Abstract: Sufficient conditions for uniform global asymptotic stabilization Cited by: 3.   The global asymptotic stabilization of bilinear homogeneous systems can be derived from the local asymptotic stabilization of these systems if we put a sufficient condition on the Lyapunov functions which are induced by Massera's theorem. Note this result can be derived from where an alternative and more easier proof of this fact is by: Global Asymptotic Stabilization for a Class of Bilinear Systems by Hybrid Output Feedback Article (PDF Available) in IEEE Transactions on Automatic Control 58(6) June with 19 Reads. This paper discusses global asymptotic stabilization of a class of discrete-time bilinear descriptor systems. By means of LaSalle invariant principle and the implicit function theorem, a sufficient condition is presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously.

  Sufficient conditions for uniform global asymptotic stabilization of the origin by state feedback are obtained for discrete-time bilinear systems with.   Global asymptotic stabilization of MIMO bilinear systems with undamped natural response. Proceedings of the 37th IEEE Conference on Decision and Control (Cat. NoCH), . that of "practical stability", i.e., stabilization into arbitrarily small neighborhoods of the fixed point. In contrast we deal with bilinear systems, our feedback concept is the classic one (measurable functions on the state space that are not discretized) and sta­ bility is global asymptotic . The purpose of this book is to present a self-contained description of the fun damentals of the theory of nonlinear control systems, with special emphasis on the differential geometric approach. The book is intended as a graduate text as weil as a reference to scientists and engineers involved in the analysis and design of feedback systems. The first version of this book was written in /5(6).

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. This technical note deals with the global asymptotic stabilization problem for a class of bilinear systems. A state feedback controller solving this problem is obtained uniting a local controller. A single-input homogeneous bilinear control system in R 3 is investigated to determine a class of bilinear control systems for which the feedback can lead to the chaotic behavior of the. Request PDF | Global Stabilization of a Class of Bilinear Systems in $${\\mathbb{R}^3}$$ R 3 | In this paper, we consider a class of bilinear systems in dimension three which can be an extension.