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Passivity is a fundamental concept that constitutes a necessary condition for any quantum system to attain thermodynamic equilibrium, and for a notion of temperature to emerge. While extensive work has been done that exploits this, the…

Quantum Physics · Physics 2021-03-17 Nikolaos Koukoulekidis , Rhea Alexander , Thomas Hebdige , David Jennings

Passivity theory is one of the cornerstones of control theory, as it allows one to prove stability of a large-scale system while treating each component separately. In practice, many systems are not passive, and must be passivized in order…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Miel Sharf , Daniel Zelazo

This paper presents a geometric framework for analyzing output-feedback and input-feedforward passivization of linear time-invariant systems. We reveal that a system is passivizable with a given passivity index when the Nyquist plot for…

Optimization and Control · Mathematics 2026-01-16 Xiaoyu Peng , Xi Ru , Zhongze Li , Jianxin Zhang , Xinghua Chen , Feng Liu

We extend deterministic port-Hamiltonian systems (PHS) to a stochastic framework by means of stochastic differential equations. As the dissipation inequality plays a crucial role for deterministic PHS, we develop several passivity concepts…

Optimization and Control · Mathematics 2025-12-08 Julia Ackermann , Thomas Kruse , Stefan Tappe

Equilibrium-independent dissipativity (EID) is a recently introduced system property which requires a system to be dissipative with respect to any forced equilibrium configuration. This paper is a detailed examination of EID with quadratic…

Optimization and Control · Mathematics 2018-02-21 John W. Simpson-Porco

Passive systems are characterized by their inability to generate energy internally, providing a powerful tool for modeling physical phenomena. Additionally, algebraically encoding passivity in the system description can be advantageous. For…

Dynamical Systems · Mathematics 2025-05-20 Attila Karsai , Tobias Breiten , Justus Ramme , Philipp Schulze

We study the equilibrium-independent (EI) passivity of a nonlinear power system composed of two-axis generator models. The model of our interest consists of a feedback inter-connection of linear and nonlinear subsystems, called mechanical…

Dynamical Systems · Mathematics 2024-01-18 Takayuki Ishizaki , Taku Nishino , Aranya Chakrabortty

This paper provides a constructive passivity-based control approach to solve the set-point regulation problem for input-affine continuous nonlinear systems while considering saturation in the inputs. As customarily in passivity-based…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Pablo Borja , Carmen Chan-Zheng , Jacquelien M. A. Scherpen

Passivity-based control ensures system stability by leveraging dissipative properties and is widely applied in electrical and mechanical systems. Port-Hamiltonian systems (PHS), in particular, are well-suited for interconnection and damping…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Thomas Beckers , Leonardo Colombo

This paper deals with the problem of control of partially known nonlinear systems, which have an open-loop stable equilibrium, but we would like to add a PI controller to regulate its behavior around another operating point. Our main…

Systems and Control · Computer Science 2016-04-08 Stanislav Aranovskiy , Romeo Ortega , Rafael Cisneros

Shortcut schemes can accelerate quasi-static processes in passive systems by adding auxiliary controls to realize swift transitions between equilibrium states. In active systems, however, inherently directed motion driven by free energy…

Statistical Mechanics · Physics 2026-04-08 Guodong Cheng , Z. C. Tu , Geng Li

The present work address the problem of energy shaping for stochastic port-Hamiltonian system. Energy shaping is a powerful technique that allows to systematically find feedback law to shape the Hamiltonian of a controlled system so that,…

Probability · Mathematics 2022-02-18 Francesco G. Cordoni , Luca Di Persio , Riccardo Muradore

This paper proposes a balancing-based model reduction approach for an interconnection of passive dynamic subsystems. This approach preserves the passivity and stability of both the subsystems and the interconnected system. Hereto, one…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Luuk Poort , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

The design of an observer-based state feedback (OBSF) controller with guaranteed passivity properties for port-Hamiltonian systems (PHS) is addressed using linear matrix inequalities (LMIs). The observer gain is freely chosen and the LMIs…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Jesus Toledo , Hector Ramirez , Yongxin Wu , Yann Le Gorrec

The increasing penetration of converter-interfaced distributed energy resources has brought out the need to develop decentralized criteria that would ensure the small-signal stability of the inter-connected system. Passivity of the D-Q…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Kaustav Dey , A. M. Kulkarni

In this paper, we examine the shifted passivity property of port-Hamiltonian systems. Shifted passivity accounts for the fact that in many applications the desired steady-state values of the input and output variables are nonzero, and thus…

Systems and Control · Computer Science 2017-11-27 Nima Monshizadeh , Pooya Monshizadeh , Romeo Ortega , Arjan van der Schaft

This paper studies the problem of passive grasp stability under an external disturbance, that is, the ability of a grasp to resist a disturbance through passive responses at the contacts. To obtain physically consistent results, such a…

In this paper, we propose a network-optimization framework for the analysis of multi-agent systems with passive-short agents. We consider the known connection between diffusively-coupled maximally equilibrium-independent passive systems,…

Systems and Control · Computer Science 2019-08-12 Miel Sharf , Daniel Zelazo

The varied and complex dynamics of real-world systems challenge the formulation of a systematic strategy for designing a stabilizing feedback law. Rather than taking a universal approach, the control strategies developed thus far to handle…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Syed Shadab Nayyer , Sushama R. Wagh , Navdeep M. Singh

In this note we identify a class of underactuated mechanical systems whose desired constant equilibrium position can be globally stabilised with the ubiquitous PID controller. The class is characterised via some easily verifiable conditions…

Dynamical Systems · Mathematics 2016-10-25 Jose Guadalupe Romero , Alejandro Donaire , Romeo Ortega
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