On the rational stabilizability of nonlinear systems by optimal feedback control: The bilinear case

M Zaghdoudi, C Jammazi - 2016 International Conference on …, 2016 - ieeexplore.ieee.org
In this paper, the problem of rational stabilizability of nonlinear control system by optimal
feedback laws is considered. By using Hamilton-Jacobi-Belleman approach, some sufficient …

On the partial rational stabilizability of nonlinear systems by optimal feedback control: Examples

M Zaghdoudi, C Jammazi - IFAC-PapersOnLine, 2017 - Elsevier
This paper deals with the problem of rational stabilizability of nonlinear control systems by
optimal control. Many sufficient conditions are derived characterizing the partial rational …

Asymptotic stability of a class of inherently nonlinear systems under linear feedback control

J Zhu, C Qian - 2017 11th Asian Control Conference (ASCC), 2017 - ieeexplore.ieee.org
The asymptotic stability of a class of inherently nonlinear systems under linear feedback
control is investigated. It is proved that, as long as all the linear feedback gains are positive …

On the global polynomial stabilization of nonlinear dynamical systems

C Jammazi, M Zaghdoudi, M Boutayeb - Nonlinear Analysis: Real World …, 2019 - Elsevier
This paper presents new criteria for the rational stability of dynamical systems. We introduce
basic and useful results on how to construct control laws to assure rational stability. Both …

Stabilization of homogeneous bilinear systems

H Hammouri, JC Marques - Applied Mathematics Letters, 1994 - Elsevier
In this paper, we investigate the problem of stabilization of homogeneous bilinear systems.
We show that if a bilinear system is locally asymptotically stabilize by a state feedback law …

Stabilization of linear nonautonomous systems with norm-bounded controls

VN Phat, P Niamsup - Journal of optimization theory and applications, 2006 - Springer
In this paper, we study the stabilization problem for a class of linear nonautonomous
systems with norm-bounded controls. Using the Lyapunov function technique, we establish …

Survey on stabilization of nonlinear systems via state/output feedback control

DA Deguale - arXiv preprint arXiv:2112.13588, 2021 - arxiv.org
This survey paper deals with the stabilization of nonlinear systems by analyzing the
controlling method in terms of state feedback and output feedback. A brief overview of some …

Global feedback stabilization of new class of bilinear systems

H Jerbi - Systems & Control Letters, 2001 - Elsevier
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[PDF][PDF] Stabilization of bilinear time-varying systems with norm-bounded controls

T Kharrat, F Mabrouk, F Omri - Memoirs on Differential Equations …, 2021 - researchgate.net
In this paper, we consider a class of bilinear time-varying systems. We study the stabilization
problem for these systems with norm-bounded controls by using Lyapunov techniques and …

Remark on local and global stabilization of homogeneous bilinear systems

O Chabour, JC Vivalda - Systems & control letters, 2000 - Elsevier
Remark on local and global stabilization of homogeneous bilinear systems - ScienceDirect
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