Search Results - "Hamzi, B."
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1
Ignored input dynamics and a new characterization of control Lyapunov functions
Published in Automatica (Oxford) (01-06-2001)“…Our objective in this paper is to extend as much as possible the dissipativity approach for the study of robustness of stability in the presence of…”
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Journal Article -
2
The Controlled Center Systems
Published in IEEE transactions on automatic control (01-11-2007)“…In this correspondence, we propose a methodology to stabilize systems with control bifurcations by introducing ldquothe controlled center systems.rdquo A…”
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Journal Article -
3
Kernel methods for center manifold approximation and a weak data-based version of the Center Manifold Theorem
Published in Physica. D (01-12-2021)“…For dynamical systems with a non hyperbolic equilibrium, it is possible to significantly simplify the study of stability by means of the center manifold…”
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Journal Article -
4
Nonlinear discrete-time control of systems with a Naimark–Sacker bifurcation
Published in Systems & control letters (15-11-2001)“…In this paper we study the problem of the stabilization of nonlinear control system with one complex uncontrollable mode. We find normal forms and quadratic…”
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Journal Article -
5
Analysis and stabilization of nonlinear systems with a zero-Hopf control bifurcation
Published in Proceedings of the 41st IEEE Conference on Decision and Control, 2002 (2002)“…In this paper we analyze the systems with zero-Hopf control bifurcation using normal forms and center manifold techniques. After classifying equilibrium sets…”
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Conference Proceeding -
6
Resonant terms in a class of systems with stationary bifurcations
Published in Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) (2001)“…Bifurcation control of systems with a single parameter and a single input is addressed in this paper. We focus on systems with quadratic degeneracy, i.e. the…”
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Conference Proceeding -
7
On the control of Hopf bifurcations
Published in Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) (2000)“…Linear and quadratic normal forms of nonlinear systems with a pair of imaginary uncontrollable modes are derived. Based on the normal form, formulae of…”
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Conference Proceeding -
8
Normal forms for nonlinear discrete time control systems
Published in 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) (2003)“…We study the feedback classification of discrete-time control systems whose linear approximation around an equilibrium is controllable. We provide a normal…”
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Conference Proceeding -
9
Some results on inverse optimality based designs
Published in Systems & control letters (2001)“…Our objective in this paper is to give some results on inverse optimal designs in view of robustness to known/unknown, but ignored input dynamics. This problem…”
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Journal Article -
10
Control of center manifolds
Published in 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475) (2003)“…In this paper, we use a feedback to change the orientation and the shape of the center manifold of a system with uncontrollable linearization. This change…”
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Conference Proceeding -
11
Resonant terms and bifurcations of nonlinear control systems with one uncontrollable mode
Published in Systems & control letters (23-07-2003)“…In this paper we provide a simple algorithm of feedback design for systems with uncontrollable linearization with only quadratic degeneracy, such as…”
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Journal Article -
12
Ignored input dynamics and a new characterization of control Lyapunov functions
Published in 1999 European Control Conference (ECC) (01-08-1999)“…Our objective in this paper is to extend as much as possible the dissipativity approach for the study of robustness of stability in the presence of…”
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Conference Proceeding -
13
Quadratic stabilization of systems with period doubling bifurcation
Published in Proceedings of the 41st IEEE Conference on Decision and Control, 2002 (2002)“…In this paper we study the stabilization of discrete-time controlled dynamics with periodic doubling bifurcation using quadratic normal forms, centre manifold…”
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Conference Proceeding -
14
Spitz tumour with ALK rearrangement: A case report and literature review
Published in Malaysian journal of pathology (01-04-2024)“…Spitz tumour with ALK rearrangement is a recently described entity and a rare tumour. The incidence of Spitz tumour was estimated at 3.63 per 100,000 persons…”
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Journal Article -
15
Balanced reduction of nonlinear control systems in reproducing kernel Hilbert space
Published in 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton) (01-09-2010)“…We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical…”
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Conference Proceeding -
16
Empirical estimators for stochastically forced nonlinear systems: Observability, controllability and the invariant measure
Published in 2012 American Control Conference (ACC) (01-06-2012)“…We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems…”
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Conference Proceeding -
17
The Controlled Center Systems
Published in Proceedings of the 45th IEEE Conference on Decision and Control (01-12-2006)“…In this paper we propose a methodology to stabilize systems with control bifurcations by introducing "the controlled center system". This system is a…”
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Conference Proceeding -
18
Normal forms for discrete time parameterized systems with uncontrollable linearization
Published in Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) (1999)“…We determine quadratic normal forms for discrete time parameterized nonlinear control systems which possess one uncontrollable mode in their linearization…”
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Conference Proceeding -
19
Bifurcation for discrete time parameterized systems with uncontrollable linearization
Published in Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) (1999)“…In this paper we study bifurcation problems for discrete time parameterized nonlinear control systems which possess one uncontrollable mode in their…”
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Conference Proceeding