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On the Solution of the Eigenvalue Assignment Problem for Discrete-Time Systems [PDF]
Journal of Applied Mathematics, 2017 The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local ...
El-Sayed M. E. Mostafa +2 more
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Eigenvalues assignment in descriptor linear systems by state and its derivative feedbacks [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The eigenvalues assignment problems for descriptor linear systems with state and its derivative feedbacks are considered herein. Necessary and sufficient conditions for the existence of solutions to the problems are established.
Tadeusz Kaczorek
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Hybridized Ackermann’s Methods
IEEE Access, 2022 Further elaborations on the modified Ackermann’s method (MAM) for eigenvalue assignment are considered in this paper. Additional results concerning the incomplete eigenvalue assignment (IEA) are stated, verified, and commented.
Omar M. E. El-Ghezawi
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Ackermann’s Method: Revisited, Extended, and Generalized to Uncontrollabe Systems
IEEE Access, 2021 The celebrated method of Ackermann for eigenvalue assignment of single-input controllable systems is revisited in this paper, contributing an elegant proof. The new proof facilitates a compact formula which consequently permits an extension of the method
Omar M. El-Ghezawi
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Attack detection design for dc microgrid using eigenvalue assignment approach
Energy Reports, 2021 DC microgrids (MGs) are complex systems connecting a number of renewable energy sources to different types of loads based on distributed networks. However, the strong reliance on communication networks makes DC MGs vulnerable to intentional cyber-attacks.
Sen Tan +5 more
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An Extension Algorithm of Regional Eigenvalue Assignment Controller Design for Nonlinear Systems
Aerospace, 2023 This paper provides a new method to nonlinear control theory, which is developed from the eigenvalue assignment method. The main purpose of this method is to locate the pointwise eigenvalues of the linear-like structure built by freezing the nonlinear ...
Ahmet Çağrı Arıcan +3 more
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Fractional Time–Invariant Compartmental Linear Systems
International Journal of Applied Mathematics and Computer Science, 2023 Fractional time-invariant compartmental linear systems are introduced. Controllability and observability of these systems are analyzed. The eigenvalue assignment problem of compartmental linear systems is considered and illustrated with a numerical ...
Kaczorek Tadeusz
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An Iterative Approach to Eigenvalue Assignment for Nonlinear Systems. [PDF]
Proceedings of the 45th IEEE Conference on Decision and Control, 2006 In this paper, the authors present a method for controlling a nonlinear system by using the ideas of eigenvalues assignment. A time-varying approach to nonlinear exponential stability via eigenvalue placement is studied based on an iteration technique that approaches a nonlinear system by a sequence of linear time varying equations.
Maria Tomas-Rodriguez, Stephen P. Banks
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Shock and Vibration, 2021 This paper proposes a novel method for the robust partial assignment of natural frequencies and antiresonances, together with the partial assignment of the related eigenvectors, in lightly damped linear vibrating systems.
Roberto Caracciolo +2 more
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IET Control Theory & Applications, 2021 The authors address the problem of tuning a non‐linear energy‐based regulator for the positioning of a surface marine craft. Interconnection and damping assignment passivity‐based control (IDA‐PBC) is used for the control design, resulting in passive ...
Christina Kazantzidou +3 more
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