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Controllability and observability have long been recognized as fundamental structural properties of dynamical systems, but have recently seen renewed interest in the context of large, complex networks of dynamical systems. A basic problem…

Optimization and Control · Mathematics 2016-11-18 Tyler H. Summers , Fabrizio L. Cortesi , John Lygeros

This paper is concerned with the development and use of duality theory for a hidden Markov model (HMM) with white noise observations. The main contribution of this work is to introduce a backward stochastic differential equation (BSDE) as a…

Optimization and Control · Mathematics 2022-08-16 Jin Won Kim , Prashant G. Mehta

Since the signal with strong power should be demodulated first for successive interference cancellation (SIC) demodulation in non-orthogonal multiple access (NOMA) systems, the base station (BS) should inform the near user terminal (UT),…

Signal Processing · Electrical Eng. & Systems 2020-10-19 Wenwu Xie , Jian Xiao , Jinxia Yang , Xin Peng , Chao Yu , Peng Zhu

We analyze in detail the subtle yet critical differences between the structural controllability and observability of the triplet $(A,B,C)$ in the two cases that this is viewed as a linear dynamical network of interconnected nodes or as a a…

Dynamical Systems · Mathematics 2019-01-18 Francesco Lo Iudice , Francesco Sorrentino , Franco Garofalo

Robust coordination and organization in large ensembles of nonlinear oscillatory units play a vital role in a wide range of natural and engineered system. The control of self-organizing network-coupled systems has recently seen significant…

Adaptation and Self-Organizing Systems · Physics 2022-10-04 Per Sebastian Skardal , Alex Arenas

The controllability of networks comprising homogeneous multi-input multi-output linear subsystems with linear couplings among them is examined, from a modal perspective. The eigenvalues of the network model are classified into two groups:…

Systems and Control · Computer Science 2018-05-08 Mengran Xue , Sandip Roy

Differential balancing theory for nonlinear model reduction relies on differential controllability and observability functions. In this paper, we further investigate them from two different perspectives. First, we establish novel…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Yu Kawano , Bart Besselink , Jacquelien M. A. Scherpen

Robust global stabilization of nonlinear systems by observer-based feedback controllers is a challenging task. This article investigates the problem of designing observer-based stabilizing controllers for incrementally quadratic nonlinear…

Optimization and Control · Mathematics 2020-07-17 Xiangru Xu , Behcet Acikmese , Martin J. Corless

We address the problem of attack detection and isolation for a class of discrete-time nonlinear systems under (potentially unbounded) sensor attacks and measurement noise. We consider the case when a subset of sensors is subject to additive…

Systems and Control · Computer Science 2019-01-04 Tianci Yang , Carlos Murguia , Margreta Kuijper , Dragan Nešić

The security of control systems under sensor attacks is investigated. Redundant observability is introduced, explaining existing security notions including the security index, attack detectability, and observability under attacks.…

Systems and Control · Computer Science 2021-01-11 Chanhwa Lee , Hyungbo Shim , Yongsoon Eun

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

Optimization and Control · Mathematics 2007-05-23 Manfredi Maggiore , Kevin Passino

Reconstructing the states of the nodes of a dynamical network is a problem of fundamental importance in the study of neuronal and genetic networks. An underlying related problem is that of observability, i.e., identifying the conditions…

Pattern Formation and Solitons · Physics 2017-03-31 Afroza Shirin , Dionicio F. Rios , Francesco Sorrentino

This paper presents a unified framework for analyzing the input-output behavior of discrete time complex networks viewed as open systems. Importantly, we focus on systems that are inherently modeled in discrete time-such as opinion…

Physics and Society · Physics 2025-11-25 Amirhossein Nazerian , MAlbor Asllani , Melvyn Tyloo , Francesco Sorrentino

Fault detection is vital in ensuring AC microgrids' reliable and resilient operation. Its importance lies in swiftly identifying and isolating faults, preventing cascading failures, and enabling rapid power restoration. This paper proposes…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Gabriel Intriago , Andres Intriago , Charalambos Konstantinou , Yu Zhang

This article considers output-feedback control of systems where the function mapping states to measurements has a set-valued inverse. We show that if the set has a bounded number of elements, then minimax dual control of such systems admits…

Optimization and Control · Mathematics 2024-05-17 Olle Kjellqvist

The paper is devoted to the observability study of a dynamic system, which describes the vibrations of an elastic beam with an attached rigid body and distributed control actions. The mathematical model is derived using Hamilton's principle…

Optimization and Control · Mathematics 2022-08-19 Alexander Zuyev , Julia Kalosha

This paper addresses the problems of stabilization, robust control, and observer design for nonlinear systems. We build upon recently a proposed method based on contraction theory and convex optimization, extending the class of systems to…

Optimization and Control · Mathematics 2014-09-29 Ian R. Manchester , Jean-Jacques E. Slotine

In this paper, a generalized differentiation-integration observer is presented based on sensors selection. The proposed differentiation-integration observer can estimate the multiple integrals and high-order derivatives of a signal,…

Systems and Control · Computer Science 2017-05-25 Xinhua Wang , Lilong Cai

Using a graph-theoretic approach, we derive a new sufficient condition for observability of a Boolean control network (BCN). Based on this condition, we describe two algorithms: the first selects a set of nodes so that observing this set…

Optimization and Control · Mathematics 2020-06-09 Eyal Weiss , Michael Margaliot

An observability problem for linear autonomous distributed systems in the class of linear operations is considered. A criterion of observability with respect to terminal state has been proved. A connection with observability with respect to…

solv-int · Physics 2008-02-03 B. Shklyar