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This paper deals with the data-driven synthesis of dissipative linear systems in discrete time. We collect finitely many noisy data samples with which we synthesise a controller that makes all systems that explain the data dissipative with…

最优化与控制 · 数学 2025-01-31 Encho T. Nguyen , Henk J. van Waarde

The notion of dissipative dynamical systems provides a formal description of processes that cannot generate energy internally. For these systems, changes in energy can only occur due to an external energy supply or dissipation effects.…

数值分析 · 数学 2026-02-18 Attila Karsai , Philipp Schulze

This paper studies the problem of verifying dissipativity of linear time-invariant (LTI) systems using input-output data. We leverage behavioral systems theory to express dissipativity in terms of quadratic difference forms (QDFs), allowing…

最优化与控制 · 数学 2026-02-17 Henk J. van Waarde , Jeremy Coulson , Alberto Padoan

This work focuses on the invariance of important properties between continuous and discrete models of systems which can be useful in the control design of large-scale systems and their software implementations. In particular, this paper…

系统与控制 · 计算机科学 2017-11-22 Etika Agarwal , Shravan Sajja , Panos J. Antsaklis , Vijay Gupta

We propose data-driven decentralized control algorithms for stabilizing interconnected systems. We first derive a data-driven condition to synthesize a local controller that ensures the dissipativity of the local subsystems. Then, we…

系统与控制 · 电气工程与系统科学 2025-09-18 Taiki Nakano , Ahmed Aboudonia , Jaap Eising , Andrea Martinelli , Florian Dörfler , John Lygeros

We propose an input-output data-driven framework for certifying the stability of interconnected multiple-input-multiple-output linear time-invariant discrete-time systems via QSR-dissipativity. That is, by using measured input-output…

系统与控制 · 电气工程与系统科学 2025-12-16 Alejandra Sandoval-Carranza , Juan E. Machado , Johannes Schiffer

In this paper, the notion of robust strict QSR-dissipativity is applied to solve the static output feedback control problem for a class of continuous-time nonlinear rational systems subject to input saturation and bounded parametric…

Input feed-forward output feedback passive (IF-OFP) systems define a great number of dynamical systems. In this report, we show that dissipativity and passivity-based control combined with event-triggered networked control systems (NCS)…

最优化与控制 · 数学 2016-07-05 Arash Rahnama , Meng Xia , Panos J. Antsaklis

Passivity theory has recently contributed to developing decentralized control schemes for large-scale systems. Many decentralized passivity-based control schemes are designed in continuous-time. It is well-known, however, that the passivity…

系统与控制 · 电气工程与系统科学 2021-07-16 Ahmed Aboudonia , Andrea Martinelli , John Lygeros

This paper considers gain-scheduling of QSR-dissipative subsystems using scheduling matrices. The corresponding QSR-dissipative properties of the overall matrix-gain-scheduled system, which depends on the QSR properties of the subsystems…

系统与控制 · 电气工程与系统科学 2024-11-21 Sepehr Moalemi , James Richard Forbes

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…

最优化与控制 · 数学 2018-02-21 John W. Simpson-Porco

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…

系统与控制 · 电气工程与系统科学 2021-12-01 Kaustav Dey , A. M. Kulkarni

Dissipativity is an essential concept of systems theory. The paper provides an extension of dissipativity, named differential dissipativity, by lifting storage functions and supply rates to the tangent bundle. Differential dissipativity is…

系统与控制 · 计算机科学 2013-05-17 Fulvio Forni , Rodolphe Sepulchre

This note is concerned with the presentation of new delay-dependent dissipativity-based convex conditions (expressed in the form of linear matrix inequalities) for the design of static output feedback (SOF) stabilizing gains for open-loop…

最优化与控制 · 数学 2021-07-05 Thiago Alves Lima , Diego de S. Madeira

We propose a general notion of dissipativity with dynamic supply rates for nonlinear systems. This extends classical dissipativity with static supply rates and dynamic supply rates of miscellaneous quadratic forms. The main results of this…

系统与控制 · 电气工程与系统科学 2024-04-30 Sei Zhen Khong , Chao Chen , Alexander Lanzon

The stability analysis of a class of discontinuous discrete-time systems is studied in this paper. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. An equivalent…

系统与控制 · 电气工程与系统科学 2022-08-12 Francesco Ferrante , Giorgio Valmorbida

Lattice systems and discrete networks with dissipative interactions are successfully employed as meso-scale models of heterogeneous solids. As the application scale generally is much larger than that of the discrete links, physically…

计算物理 · 物理学 2016-11-21 Ondřej Rokoš , Lars A. A. Beex , Jan Zeman , Ron H. J. Peerlings

The dissipativity concept sits at the intersection of physics, systems theory, and control engineering, as a natural generalisation of passive systems that dissipate energy. It relates the external behavior of systems to their internal…

最优化与控制 · 数学 2024-10-28 Timothy H. Hughes , Edward H. Branford

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

系统与控制 · 电气工程与系统科学 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically…

最优化与控制 · 数学 2022-12-20 Tobias Holicki , Carsten W. Scherer
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