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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

This paper studies the tracking control problem of nonlinear networked and quantized control systems (NQCSs) with communication delays. The desired trajectory is generated by a reference system. The communication network is to guarantee the…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Wei Ren , Junlin Xiong

This paper investigates the stability and stabilization of diffusively coupled network dynamical systems. We leverage Lyapunov methods to analyze the role of coupling in stabilizing or destabilizing network systems. We derive critical…

Dynamical Systems · Mathematics 2025-04-02 Moise R. Mouyebe , Anthony M. Bloch

Modern power networks face increasing challenges in controlling their transient frequency behavior at acceptable levels due to low inertia and highly-dynamic units. This paper presents a distributed control strategy regulated on a subset of…

Systems and Control · Computer Science 2018-09-20 Yifu Zhang , Jorge Cortes

This paper presents a nonlinear model predictive control strategy for stochastic systems with general (state and input dependent) disturbances subject to chance constraints. Our approach uses an online computed stochastic tube to ensure…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Henning Schlüter , Frank Allgöwer

Gradual advancement of control technology gives rise to the studies of the stability of linear systems. The stability of the linear multiagent system is motivated by increasing utilization of agent dynamics together with the number of…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Gurmu Meseret Debele

Fast-acting smart inverters that utilize preset operating conditions to determine real and reactive power injection/consumption can create voltage instabilities (over-voltage, voltage oscillations and more) in an electrical distribution…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Shammya Shananda Saha , Daniel Arnold , Anna Scaglione , Eran Schweitzer , Ciaran Roberts , Sean Peisert , Nathan G. Johnson

We address the stability problem for linear switching systems with mode-dependent restrictions on the switching intervals. Their lengths can be bounded as from below (the guaranteed dwell-time) as from above. The upper bounds make this…

Optimization and Control · Mathematics 2022-06-01 Vladimir Yu. Protasov , Rinat Kamalov

Systems with time-delayed chaotic dynamics are common in nature, from control theory to aeronautical propulsion. The overarching objective of this paper is to compute the stability properties of a chaotic dynamical system, which is…

Adaptation and Self-Organizing Systems · Physics 2023-03-07 Georgios Margazoglou , Luca Magri

In this paper, we present a novel approach to determine the stability of switched linear and nonlinear systems using Sum of Squares optimisation. Particularly, we use Sum of Squares optimisation to search for a Lyapunov function that…

Dynamical Systems · Mathematics 2023-06-26 Jacopo Piccini , Elias August , Sigurdur Hafstein , Stefania Andersen

The paper proposes the stable motion control law design method for non-honomic differential-drive mobile robot with system and measurement noise in discrete time domain. This method is performed basing on dividing operating configuration of…

Robotics · Computer Science 2020-05-14 Thi Thanh Van Nguyen , Manh Duong Phung , Quang Vinh Tran

This paper answers the question if a qualitatively heterogeneous passive networked system containing damped and undamped nodes shows consensus in the output of the nodes in the long run. While a standard Lyapunov analysis shows that the…

Optimization and Control · Mathematics 2016-03-14 Filip Koerts , Mathias Bürger , Arjan van der Schaft , Claudio De Persis

This paper addresses the problem of risk-aware fixed-time stabilization of a class of uncertain, output-feedback nonlinear systems modeled via stochastic differential equations. First, novel classes of certificate functions, namely…

Optimization and Control · Mathematics 2024-04-01 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Dimitra Panagou

This article presents a novel class of control policies for networked control of Lyapunov-stable linear systems with bounded inputs. The control channel is assumed to have i.i.d. Bernoulli packet dropouts and the system is assumed to be…

Optimization and Control · Mathematics 2017-11-27 Prabhat K. Mishra , Debasish Chatterjee , Daniel E. Quevedo

In this paper, the problem of assessing the Finite-Time Stability (FTS) property for general nonlinear systems is considered. First, some necessary and sufficient conditions that guarantee the FTS of general nonlinear systems are provided;…

Optimization and Control · Mathematics 2023-03-02 Adriano Mele , Alfredo Pironti

We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given and posit a mild persistency of excitation condition on our…

Optimization and Control · Mathematics 2007-05-23 Michael Malisoff , Frederic Mazenc

In this paper, a class of abstract dynamical systems is considered which encompasses a wide range of nonlinear finite- and infinite-dimensional systems. We show that the existence of a non-coercive Lyapunov function without any further…

Optimization and Control · Mathematics 2018-06-18 Andrii Mironchenko , Fabian Wirth

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

Systems and Control · Computer Science 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

For a product of i.i.d. random maps or a memoryless stochastic flow on a compact space $X$, we find conditions under which the presence of locally asymptotically stable trajectories (e.g. as given by negative Lyapunov exponents) implies…

Dynamical Systems · Mathematics 2015-02-26 Julian Newman

In systems where the ability to actuate is a scarce resource, e.g., spacecrafts, it is desirable to only apply a given controller in an intermittent manner--with periods where the controller is on and periods where it is off. Motivated by…

Systems and Control · Electrical Eng. & Systems 2022-04-08 Pio Ong , Gilbert Bahati , Aaron D. Ames