Stability of conformable linear differential systems: a behavioural framework with applications in fractional‐order control

JC Mayo‐Maldonado… - IET Control Theory & …, 2020 - Wiley Online Library
The authors study the stability of linear systems whose dynamics are described by systems
of conformable fractional differential equations. They provide a framework in terms of …

Linear boundary port-Hamiltonian systems with implicitly defined energy

B Maschke, A van der Schaft - arXiv preprint arXiv:2305.13772, 2023 - arxiv.org
In this paper we extend the previously introduced class of boundary port-Hamiltonian
systems to boundary control systems where the variational derivative of the Hamiltonian …

Stability of switched linear differential systems

JC Mayo-Maldonado, P Rapisarda… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
We study the stability of switched systems whose dynamic modes are described by systems
of higher-order linear differential equations not necessarily sharing the same state space …

A two-stage theory on fatigue damage and life prediction of composites

JJ Xiong, RA Shenoi - Composites Science and Technology, 2004 - Elsevier
Fatigue tests on unnotched and notched composite laminates under compressive cyclic
loading have been carried out. The damage mechanism is discussed, and it is seen that the …

Dissipativity, reciprocity, and passive network synthesis: from the seminal dissipative dynamical systems articles of Jan Willems to the present day

TH Hughes, EH Branford - IEEE Control Systems Magazine, 2022 - ieeexplore.ieee.org
The dissipativity concept sits at the intersection of physics, systems theory, and control
engineering as a natural generalization of passive systems that dissipate energy. It relates …

Adjoint polynomial formulas for nonlinear state-space realization

J Belikov, Ü Kotta, M Tonso - IEEE Transactions on Automatic …, 2013 - ieeexplore.ieee.org
This paper focuses on computational aspects of the realization of nonlinear multi-input multi-
output systems. Instead of the algorithmic solutions, provided in earlier works, the explicit …

Dissipative switched linear differential systems

JC Mayo-Maldonado… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The authors develop a dissipativity theory for switched systems whose dynamical modes are
described by systems of higher order linear differential equations. They give necessary and …

A duality perspective on Loewner rational interpolation and state-space modelling of vector-exponential trajectories

P Rapisarda, AC Antoulas - 2015 54th IEEE Conference on …, 2015 - ieeexplore.ieee.org
We explore some connections between the Loewner approach to interpolation and
realization, and that based on bilinear differential forms arising in the behavioral framework …

Bilinear differential forms and the Loewner framework for rational interpolation

P Rapisarda, AC Antoulas - … Control Theory II: Behavioral Systems and …, 2015 - Springer
The Loewner approach, based on the factorization of a special-structure matrix derived from
data generated by a dynamical system, has been applied successfully to realization theory …

A systematic approach to constant power load stabilization by passive damping

JC Mayo-Maldonado… - 2015 54th IEEE …, 2015 - ieeexplore.ieee.org
We illustrate a novel design methodology for the stabilization of power converters with
constant-power loads by passive damping. In our formulation of the problem we allow the …