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We consider a distributed system with identical agents, constant-spacing policy and asymmetric bidirectional control, where the asymmetry is due to different controllers, which we describe by transfer functions. By applying the wave…

系统与控制 · 计算机科学 2016-11-17 Dan Martinec , Ivo Herman , Michael Šebek

This paper provides sufficient conditions for global asymptotic stability and global exponential stability, which can be applied to nonlinear, large-scale, uncertain discrete-time systems. The conditions are derived by means of vector…

最优化与控制 · 数学 2014-03-25 Iasson Karafyllis , Markos Papageorgiou

For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly…

最优化与控制 · 数学 2009-10-19 Billy J. Jackson , John M. Davis , Ian A. Gravagne , Robert J. Marks

This work establishes the first rigorous stability guarantees for approximate predictors in delay-adaptive control of nonlinear systems, addressing a key challenge in practical implementations where exact predictors are unavailable. We…

系统与控制 · 电气工程与系统科学 2025-10-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

We consider the problem of asymptotic convergence to invariant sets in interconnected nonlinear dynamic systems. Standard approaches often require that the invariant sets be uniformly attracting. e.g. stable in the Lyapunov sense. This,…

动力系统 · 数学 2007-05-23 Ivan Tyukin , Erik Steur , Henk Nijmeijer , Cees van Leeuwen

Novel criteria for global asymptotic stability of nonlinear uncertain finite-dimensional systems are presented. The results are obtained by a combination of the "discretization approach" and the ideas contained in the proof of the original…

最优化与控制 · 数学 2009-07-24 Iasson Karafyllis

A non-overshooting quasi-continuous sliding mode control with sub-optimal damping was recently introduced in Ruderman and Efimov (2025) for perturbed second-order systems. The present work proposes an essential modification of the nonlinear…

最优化与控制 · 数学 2025-12-08 Michael Ruderman , Denis Efimov

This paper deals with the output feedback stabilization problem of nonlinear multi-input multi-output systems having an uncertain input gain matrix. It is assumed that the system has a well-defined vector relative degree and that the zero…

系统与控制 · 计算机科学 2019-03-19 Wonseok Ha , Juhoon Back

We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constraints. In particular, we show under a detectability-like…

最优化与控制 · 数学 2026-03-17 Till Preuster , Hannes Gernandt , Manuel Schaller

We consider output trajectory tracking for a class of uncertain nonlinear systems whose internal dynamics may be modelled by infinite-dimensional systems which are bounded-input, bounded-output stable. We describe under which conditions…

最优化与控制 · 数学 2019-12-06 Thomas Berger , Marc Puche , Felix Schwenninger

We present a predictive feedback control method for a class of quasilinear hyperbolic systems with one boundary control input. Assuming exact model knowledge, convergence to the origin, or tracking at the uncontrolled boundary, are achieved…

最优化与控制 · 数学 2022-03-18 Timm Strecker , Ole Morten Aamo , Michael Cantoni

A class of polynomial dynamical systems called complex-balanced are locally stable and conjectured to be globally stable. In general, complex-balancing is not a robust property, i.e., small changes in parameter values may result in the loss…

动力系统 · 数学 2022-10-26 Polly Y. Yu

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…

系统与控制 · 电气工程与系统科学 2025-10-21 Lidong Li , Rui Huang , Lin Zhao

The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under…

最优化与控制 · 数学 2018-09-17 Nadhem Echi , Boulbaba Ghanmi

This note examines the robustness properties of the nonlinear PI control method to ignored actuator dynamics. It is proven that global boundedness and regulation can be achieved for sector bounded nonlinear systems with unknown control…

系统与控制 · 计算机科学 2014-08-15 Haris E. Psillakis

In this paper, we are concerned with the internal control of a class of one-dimensional nonlinear parabolic systems with nonlocal and weakly degenerate diffusion coefficients. Our main theorem establishes a local null controllability result…

偏微分方程分析 · 数学 2020-09-11 R. Demarque , J. Límaco , L. Viana

It is shown that impulsive systems of nonlinear, time-varying and/or switched form that allow a stable global state weak linearization are jointly input-to-state stable (ISS) under small inputs and integral ISS (iISS). The system is said to…

系统与控制 · 电气工程与系统科学 2021-09-01 José L. Mancilla-Aguilar , Hernan Haimovich

This paper aims at completing an earlier work of Russell and Zhang to study internal control problems for the distributed parameter system described by the Korteweg-de Vries equation on a periodic domain T^1. In their article, Russell and…

偏微分方程分析 · 数学 2009-05-22 Camille Laurent , Lionel Rosier , Bing-Yu Zhang

In this paper, we give sufficient conditions for and deduce a control law under which a mechanical control system converges exponentially fast to a virtual linear nonholonomic constraint that is control invariant via the same feedback…

最优化与控制 · 数学 2024-11-05 Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo , Efstratios Stratoglou

This paper is concerned with stability analysis of nonlinear time-varying systems by using Lyapunov function based approach. The classical Lyapunov stability theorems are generalized in the sense that the time-derivative of the Lyapunov…

动力系统 · 数学 2017-08-18 Bin Zhou