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A commonly employed measure of the signal amplification properties of an input/output system is its induced L2 norm, sometimes also known as "H infinity" gain. In general, however, it is extremely difficult to compute the numerical value…

Quantitative Methods · Quantitative Biology 2007-05-23 Eduardo D. Sontag , Madalena Chaves

We consider H2 output feedback controller synthesis with pre-specified constraints on spatial communication distance (locality) for spatially-invariant systems using two factored controller frameworks: the system-level parameterization and…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Walden Marshall

H-infinity filter has been widely applied in engineering field, but copping with bounded noise is still an open problem and difficult to solve. This paper considers the H-infinity filtering problem for linear system with bounded process and…

Systems and Control · Electrical Eng. & Systems 2020-08-04 Jie Li , Shengbo Eben Li , Kaiming Tang , Yao Lv , Wenhan Cao

In the paper, effective filtering for a type of slow-fast data assimilation systems in Hilbert spaces is considered. Firstly, the system is reduced to a system on a random invariant manifold. Secondly, nonlinear filtering of the origin…

Probability · Mathematics 2019-10-21 Huijie Qiao

This paper deals with a distributed implementation of minimax adaptive control algorithm for networked dynamical systems modeled by a finite set of linear models. To hedge against the uncertainty arising out of finite number of possible…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

This paper considers the distributed H-infinity leader-following tracking problem for a class of discrete time multi-agent systems with a high-dimensional dynamic leader. It is assumed that output information about the leader is only…

Systems and Control · Computer Science 2013-09-03 Guanghui Wen , Valery Ugrinovskii

In this work, we propose a robust approach to design distributed controllers for unknown-but-sparse linear and time-invariant systems. By leveraging modern techniques in distributed controller synthesis and structured linear inverse…

Optimization and Control · Mathematics 2019-10-14 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dynamics of the individual subsystems are described by…

Optimization and Control · Mathematics 2020-09-10 Pieter Appeltans , Wim Michiels

We introduce an interpolation framework for H-infinity model reduction founded on ideas originating in optimal-H2 interpolatory model reduction, realization theory, and complex Chebyshev approximation. By employing a Loewner "data-driven"…

Numerical Analysis · Mathematics 2013-09-03 Garret Flagg , Christopher Beattie , Serkan Gugercin

Interpolatory necessary optimality conditions for $\mathcal{H}_2$-optimal reduced-order modeling of unstructured linear time-invariant (LTI) systems are well-known. Based on previous work on $\mathcal{L}_2$-optimal reduced-order modeling of…

Numerical Analysis · Mathematics 2024-09-23 Petar Mlinarić , Peter Benner , Serkan Gugercin

A generalized dynamical robust nonlinear filtering framework is established for a class of Lipschitz differential algebraic systems, in which the nonlinearities appear both in the state and measured output equations. The system is assumed…

Systems and Control · Computer Science 2014-02-25 Masoud Abbaszadeh

Robustness and reliability are two key requirements for developing practical quantum control systems. The purpose of this paper is to design a coherent feedback controller for a class of linear quantum systems suffering from Markovian…

Quantum Physics · Physics 2020-03-24 Yanan Liu , Daoyi Dong , Ian R. Petersen , Qing Gao , Steven X. Ding , Shota Yokoyama , Hidehiro Yonezawa

We consider the optimal control design problem for discrete-time LTI systems with state feedback, when the actuation signal is subject to unmeasurable switching propagation delays, due to e.g. the routing in a multi-hop communication…

Systems and Control · Computer Science 2015-09-14 Antonio Cicone , Alessandro D'Innocenzo , Nicola Guglielmi , Linda Laglia

A new approach for robust Hinfty filtering for a class of Lipschitz nonlinear systems with time-varying uncertainties both in the linear and nonlinear parts of the system is proposed in an LMI framework. The admissible Lipschitz constant of…

Systems and Control · Computer Science 2014-03-04 Masoud Abbaszadeh , Horacio J. Marquez

We consider a vibrational system control problem over a finite time horizon. The performance measure of the system is taken to be $p$-mixed $H_2$ norm which generalizes the standard $H_2$ norm. We present an algorithm for efficient…

Optimization and Control · Mathematics 2023-12-27 Ivica Nakić , Marinela Pilj Vidaković , Zoran Tomljanović

Interpolatory necessary optimality conditions for $\mathcal{H}_2$-optimal reduced-order modeling of non-parametric linear time-invariant (LTI) systems are known and well-investigated. In this work, using the general framework of…

Optimization and Control · Mathematics 2024-11-12 Petar Mlinarić , Peter Benner , Serkan Gugercin

We develop the interpolatory $\mathcal{H}_2$ optimal model reduction framework for linear control systems posed on infinite dimensional state, input and output spaces. Specifically, we consider linear systems formulated as controlled…

Optimization and Control · Mathematics 2026-04-15 Cankat Tilki , Tobias Breiten , Serkan Gugercin

The design of digital filters is a fundamental process in the context of digital signal processing. The purpose of this paper is to study the use of $\lp$ norms (for $2 < p < \infty$) as design criteria for digital filters, and to introduce…

Information Theory · Computer Science 2012-07-20 Ricardo A. Vargas , C. Sidney Burrus

This paper focuses on finite-time in-network computation of linear transforms of distributed graph data. Finite-time transform computation problems are of interest in graph-based computing and signal processing applications in which the…

Optimization and Control · Mathematics 2021-04-06 Soummya Kar , Markus Püschel , José M. F. Moura

This article presents a novel perspective along with a scalable methodology to design a fault detection and isolation (FDI) filter for high dimensional nonlinear systems. Previous approaches on FDI problems are either confined to linear…

Optimization and Control · Mathematics 2016-01-25 Peyman Mohajerin Esfahani , John Lygeros