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State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

In this paper, we investigate discrete-time decision-making problems in uncertain systems with partially observed states. We consider a non-stochastic model, where uncontrolled disturbances acting on the system take values in bounded sets…

Systems and Control · Electrical Eng. & Systems 2024-07-18 Aditya Dave , Nishanth Venkatesh , Andreas A. Malikopoulos

This paper provides novel Input-to-State Stability (ISS)-style maximum principle estimates for classical solutions of highly nonlinear 1-D parabolic Partial Differential Equations (PDEs). The derivation of the ISS-style maximum principle…

Optimization and Control · Mathematics 2020-07-31 Iasson Karafyllis , Miroslav Krstic

Today's complex robotic designs comprise in some cases a large number of degrees of freedom, enabling for multi-objective task resolution (e.g., humanoid robots or aerial manipulators). This paper tackles the stability problem of a…

This paper is concerned with the problem of robust reliable control for a class of uncertain 2D discrete switched systems with state delays represented by a model of Roesser type. The parameter uncertainties are assumed to be norm-bounded.…

Dynamical Systems · Mathematics 2012-10-10 Shipei Huang , Zhengrong Xiang

This work provides a framework for nonlinear model-free control of systems with unknown input-output dynamics, but outputs that can be controlled by the inputs. This framework leads to real-time control of the system such that a feasible…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Amit K. Sanyal

Distributed Parameter Systems (DPSs), modelled by partial differential equations (PDEs), are increasingly vulnerable to disturbances arising from various sources. Although detection of disturbances in PDE systems have received considerable…

Systems and Control · Electrical Eng. & Systems 2024-04-01 Tanushree Roy , Ashley Knichel , Satadru Dey

Practical stabilization of input-affine systems in the presence of measurement errors and input constraints is considered in this brief note. Assuming that a Lyapunov function and a stabilizing control exist for an input-affine system, the…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Patrick Schmidt , Pavel Osinenko , Stefan Streif

In this paper, we directly design a state feedback controller that stabilizes a class of uncertain nonlinear systems solely based on input-state data collected from a finite-length experiment. Necessary and sufficient conditions are derived…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Alessandro Luppi , Claudio De Persis , Pietro Tesi

Technological advancements in miniaturization and wireless communications are yielding more affordable and versatile sensors and, in turn, more applications in which a network of sensors can be actively managed to best support overall…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Patrick Kreidl

In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state feedback law. It is shown that, in the absence of minimal…

Optimization and Control · Mathematics 2016-08-16 Christophe Prieur , Emmanuel Trélat

The stability of stationary solutions of first-order systems of PDE's are considered. They may include some singular geometric terms, leading to discontinuous flux and non-conservative products. Based on several examples in Fluid Mechanics,…

Analysis of PDEs · Mathematics 2017-09-15 Nicolas Seguin

In this paper, we introduce a weak maximum principle-based approach to input-to-state stability (ISS) analysis for certain nonlinear partial differential equations (PDEs) with boundary disturbances. Based on the weak maximum principle, a…

Analysis of PDEs · Mathematics 2020-04-13 Jun Zheng , Guchuan Zhu

This paper deals with several related notions of output stability with respect to inputs. The inputs may be thought of as disturbances; when there are no inputs, one obtains generalizations of the classical concepts of partial stability.…

Optimization and Control · Mathematics 2007-05-23 Eduardo D. Sontag , Y. Wang

This work studies the design problem of feedback stabilizers for discrete-time systems with input delays. A backstepping procedure is proposed for disturbance-free discrete-time systems. The feedback law designed by using backstepping…

Optimization and Control · Mathematics 2012-12-05 Iasson Karafyllis , Miroslav Krstic

This paper proposes a new framework and several results to quantify the performance of data-driven state-feedback controllers for linear systems against targeted perturbations of the training data. We focus on the case where subsets of the…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Rajasekhar Anguluri , Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

Optimization and Control · Mathematics 2010-12-13 Iasson Karafyllis , Miroslav Krstic

We consider the problem of output feedback regulationfor a linear first-order hyperbolic system with collocatedinput and output in presence of a general class of disturbancesand noise. The proposed control law is designed through…

Analysis of PDEs · Mathematics 2017-10-20 Pierre-Olivier Lamare , Jean Auriol , Florent Di Meglio , Ulf Jakob F. Aarsnes

Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are an exciting development in computational physics. For example, the force-based quasicontinuum approximation is the only known pointwise…

Numerical Analysis · Mathematics 2015-05-13 Matthew Dobson , Mitchell Luskin , Christoph Ortner

The paper describes a novel method for studying the stability of nonautonomous dynamical systems. This method based on the flow and divergence of the vector field with coupling to the method of Lyapunov functions. The necessary and…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Igor Furtat