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We study the stability of coupled impedance passive regular linear systems under power-preserving interconnections. We present new conditions for strong, exponential, and non-uniform stability of the closed-loop system. We apply the…

Optimization and Control · Mathematics 2023-03-01 Lassi Paunonen

System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic…

Quantum Physics · Physics 2016-05-09 Madalin Guta , Naoki Yamamoto

The goal of this paper is to develop data-driven control design and evaluation strategies based on linear matrix inequalities (LMIs) and dynamic programming. We consider deterministic discrete-time LTI systems, where the system model is…

Optimization and Control · Mathematics 2021-06-17 Donghwan Lee , Do Wan Kim

The goal of this paper is to provide a tutorial on the so-called informativity framework for direct data-driven analysis and control. This framework achieves certified data-based analysis and control by assessing system properties and…

Optimization and Control · Mathematics 2023-02-22 Henk J. van Waarde , Jaap Eising , M. Kanat Camlibel , Harry L. Trentelman

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…

Systems and Control · Computer Science 2017-11-22 Etika Agarwal , Shravan Sajja , Panos J. Antsaklis , Vijay Gupta

This paper presents a novel framework for stabilizing nonlinear systems represented in state-dependent form. We first reformulate the nonlinear dynamics as a state-dependent parameter-varying model and synthesize a stabilizing controller…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lidong Li , Rui Huang , Lin Zhao

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is to achieve dissipativity with respect to a given quadratic supply rate or a given $H_2$…

Optimization and Control · Mathematics 2026-03-25 Pietro Kristović , Andrej Jokić , Mircea Lazar

In this paper, an adaptive observer is proposed for multi-input multi-output (MIMO) discrete-time linear time-invariant (LTI) systems. Unlike existing MIMO adaptive observer designs, the proposed approach is applicable to LTI systems in…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Anchita Dey , Shubhendu Bhasin

This paper develops a cooperative fault-tolerant tracking framework for heterogeneous networked linear systems subject to sensor faults and external disturbances. Each unit employs an augmented $\mathcal{H}_\infty$ observer that jointly…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Moh Kamalul Wafi , Yurid E. Nugraha , Bambang L. Widjiantoro , Katherin Indriawati

In these lectures notes, we review our recent works addressing various problems of finding the nearest stable system to an unstable one. After the introduction, we provide some preliminary background, namely, defining Port-Hamiltonian…

Optimization and Control · Mathematics 2022-02-08 Nicolas Gillis , Punit Sharma

Systems that show different characteristics, such as finite-gain and passivity, depending on the nature of the inputs, are said to possess mixed input-output properties. In this paper, we provide a constructive method for characterizing…

Systems and Control · Electrical Eng. & Systems 2024-09-10 Sebastiaan van den Eijnden , Thomas Chaffey

In this technical note, we generalize the well-known Lyapunov-based stabilizability and detectability tests for linear time-invariant (LTI) systems to the context of discrete-time (DT) polytopic linear parameter-varying (LPV) systems. To do…

Optimization and Control · Mathematics 2023-03-21 T. J. Meijer , V. S. Dolk , W. P. M. H. Heemels

This paper addresses the problem of identifying sparse linear time-invariant (LTI) systems from a single sample trajectory generated by the system dynamics. We introduce a Lasso-like estimator for the parameters of the system, taking into…

Systems and Control · Computer Science 2019-04-23 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

With the increasing penetration of converter-interfaced distributed generation systems, it would be advantageous to specify local compliance criteria for these devices to ensure the small-signal stability of the interconnected system.…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Kaustav Dey , Anil Kulkarni

It is known that input-output approaches based on scaled small-gain theorems with constant $D$-scalings and integral linear constraints are non-conservative for the analysis of some classes of linear positive systems interconnected with…

Optimization and Control · Mathematics 2017-03-02 Corentin Briat

This paper proposes a novel informativity-based data-driven synthesis method for a sub-optimal linear quadratic (LQ) regulator for linear input-delay systems from noisy input-state data. Exploiting the augmented state structure of…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Kohei Ayaka , Takumi Namba , Kiyotsugu Takaba

We investigate the stabilisation of nominally linear-affine switched systems with uncertain Lipschitz nonlinearities under dwell-time constraints, using a sampled-data switching law based on a state observer. We design the switching law…

Optimization and Control · Mathematics 2026-04-29 Rami Katz , Antonio Russo , Gian Paolo Incremona , Patrizio Colaneri , Giulia Giordano

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

Most data-driven analysis and control methods rely on centralized access to system measurements. In contrast, we consider a setting in which the measurements are distributed across multiple agents and raw data are not shared. Each agent has…

Optimization and Control · Mathematics 2026-03-12 Surya Malladi , Nima Monshizadeh

This chapter reviews the fundamentals of continuous and discrete Linear Time-Invariant (LTI) systems with Single Input-Single Output (SISO). We start from the general notions of signals and systems, the signal representation problem and the…

Optimization and Control · Mathematics 2022-08-26 Miguel A. Mendez