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Related papers: Passivity-Preserving, Balancing-Based Model Reduct…

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In this paper, we extend the structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specifically, we give explicit construction formulae for the model…

Numerical Analysis · Mathematics 2021-05-17 Peter Benner , Serkan Gugercin , Steffen W. R. Werner

In this paper, the design of a static feedback gain for a linear system subject to an input delay is studied. This synthesis is based on a stability analysis conducted using Lyapunov-Krasovskii theorem and Bessel-Legendre inequalities…

Optimization and Control · Mathematics 2019-04-30 Matthieu Barreau , Frédéric Gouaisbaut , Alexandre Seuret

An alternative approach for minimum and mode-dependent dwell-time characterization for switched systems is derived. The proposed technique is related to Lyapunov looped-functionals, a new type of functionals leading to stability conditions…

Optimization and Control · Mathematics 2012-09-05 Corentin Briat , Alexandre Seuret

This paper presents a novel method to synthesize stochastic control Lyapunov functions for a class of nonlinear, stochastic control systems. In this work, the classical nonlinear Hamilton-Jacobi-Bellman partial differential equation is…

Optimization and Control · Mathematics 2016-11-17 Yoke Peng Leong , Matanya B. Horowitz , Joel W. Burdick

We propose an encoding and control strategy for the stabilization of switched systems with limited information, supposing the controller is given for each mode. Only the quantized output and the active mode of the plant at each sampling…

Systems and Control · Computer Science 2014-12-19 Masashi Wakaiki , Yutaka Yamamoto

In this paper, we treat extended balancing for continuous-time linear time-invariant systems, and we address the problem of structure-preserving model reduction of the subclass of port-Hamiltonian systems. We establish sufficient conditions…

Systems and Control · Electrical Eng. & Systems 2020-01-06 Pablo Borja , Jacquelien M. A. Scherpen , Kenji Fujimoto

This paper investigates the problem of synchronization for nonlinear systems. Following a Lyapunov approach, we firstly study global synchronization of nonlinear systems in canonical control form with both distributed…

Dynamical Systems · Mathematics 2017-04-05 Davide Liuzza , Dimos V. Dimarogonas , Karl H. Johansson

This paper develops a new approach to the estimation of the degree of boundedness or stability of multidimensional nonlinear systems with time-dependent nonperiodic coefficients-an essential task in various engineering and natural science…

Dynamical Systems · Mathematics 2022-06-16 Mark A. Pinsky

We study stability criteria for discrete-time switched systems and provide a meta-theorem that characterizes all Lyapunov theorems of a certain canonical type. For this purpose, we investigate the structure of sets of LMIs that provide a…

Optimization and Control · Mathematics 2018-01-24 Raphael M. Jungers , Amirali Ahmadi , Pablo Parrilo , Mardavij Roozbehani

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Tochukwu Elijah Ogri , Zachary I. Bell , Rushikesh Kamalapurkar

In this paper, we present a methodology for stability analysis of a general class of systems defined by coupled Partial Differential Equations (PDEs) with spatially dependent coefficients and a general class of boundary conditions. This…

Optimization and Control · Mathematics 2016-03-28 Evgeny Meyer , Matthew M. Peet

This paper concerns control of a class of systems where multiple dynamically stable agents share a nonlinear and bounded control-interconnection. The agents are subject to a disturbance which is too large to reject with the available…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Felix Agner , Anders Rantzer

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

Robotics · Computer Science 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

This letter presents a new intelligent control scheme for the accurate trajectory tracking of flexible link manipulators. The proposed approach is mainly based on a sliding mode controller for underactuated systems with an embedded…

We study singularly perturbed systems that exhibit input-to-state stability (ISS) with fixed-time properties in the presence of bounded disturbances. In these systems, solutions converge to the origin within a time frame independent of…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Michael Tang , Miroslav Krstic , Jorge Poveda

This work proposes a two-layered control scheme for constrained nonlinear systems represented by a class of recurrent neural networks and affected by additive disturbances. In particular, a base controller ensures global or regional…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Danilo Saccani , Marcello Farina , Giancarlo Ferrari-Trecate

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

This study presents a constructive methodology for designing accelerated convex optimisation algorithms in continuous-time domain. The two key enablers are the classical concept of passivity in control theory and the time-dependent change…

Optimization and Control · Mathematics 2024-09-16 Namhoon Cho , Hyo-Sang Shin

We study state-feedback design for continuous-time LTI systems with a control input and an external input-output pair. Our objective is to determine feedback gains that render the closed-loop system (strictly) passive with respect to the…

Optimization and Control · Mathematics 2026-05-07 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

In this paper we introduce a new notion of passivity which we call Krasovskii's passivity and provide a sufficient condition for a system to be Krasovskii's passive. Based on this condition, we investigate classes of port-Hamiltonian and…

Systems and Control · Computer Science 2019-06-25 Krishna Chaitanya Kosaraju , Yu Kawano , Jacquelien M. A. Scherpen