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20162026
most citedNegative Imaginary Systems Theory for Nonlinear Systems: A Dissipativity Approach

7 citations · 8 across the 6 of their papers we have counts for

collaborators

7 papers

eess.SY2026

Velocity-Free Horizontal Position Control of Quadrotor Aircraft via Nonlinear Negative Imaginary Systems Theory

Ahmed G. Ghallab, Ian R. Petersen

This paper presents a velocity-free position control strategy for quadrotor unmanned aerial vehicles based on nonlinear negative imaginary (NNI) systems theory. Unlike conventional…

math.DS2022★ 7 cited

Negative Imaginary Systems Theory for Nonlinear Systems: A Dissipativity Approach

Ahmed G. Ghallab, Ian R. Petersen

Negative imaginary (NI) systems theory is a well-established system theoretic framework for analysis and design of linear-time-invariant (LTI) control systems. In this paper, we ai…

math.OC2021

Velocity-free Attitude Control of Quadrotors: A Nonlinear Negative Imaginary Approach

Ahmed G. Ghallab, Ian R. Petersen

In this paper, we propose a new approach to the attitude control of quadrotors, by which angular velocity measurements or a model-based observer reconstructing the angular velocity…

math.DS2017

Existence Results by The Method of Upper and Lower Solutions for Volterra Integral Equation on Time Scales

Alaa E. Hamza, Ahmed G. Ghallab

In this article, we investigate the method of upper and lower solutions for Volterra integral equation of the first kind on arbitrary time scale . We establish some exi…

math.DS2017★ 1 cited

Stability of a Volterra Integral Equation on Time Scales

Alaa E. Hamza, Ahmed G. Ghallab

In this paper, we study Hyers-Ulam stability for integral equation of Volterra type in time scale setting. Moreover we study the stability of the considered equation in Hyers-Ulam-…

math.OC2016

Lyapunov-based Stability of Feedback Interconnections of Negative Imaginary Systems

Ahmed G. Ghallab, Mohamed A. Mabrok, Ian R. Petersen

Feedback control systems using sensors and actuators such as piezoelectric sensors and actuators, micro-electro-mechanical systems (MEMS) sensors and opto-mechanical sensors, are a…

math.DS2016

Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales

Alaa E. Hamza, Ahmed G. Ghallab

In this paper we study well posedness of a certain nonlinear Volterra-Fredholm dynamic integral and integro-dynamic equations on unbounded interval from arbitrary time scale. We de…