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We study stability issue of reset and impulsive switched systems. We find time constraints (dwell time and flee time) on switching signals which stabilize a given reset switched system. For a given collection of matrices, we find an…

动力系统 · 数学 2023-06-21 Swapnil Tripathi , Nikita Agarwal

We provide a solution to the heretofore open problem of stabilization of systems with arbitrarily long delays at the input and output of a nonlinear system using output feedback only. The solution is global, employs the predictor approach…

最优化与控制 · 数学 2013-08-15 Iasson Karafyllis , Miroslav Krstic

In this paper we deal with infinite-dimensional nonlinear forward complete dynamical systems which are subject to external disturbances. We first extend the well-known Datko lemma to the framework of the considered class of systems. Thanks…

最优化与控制 · 数学 2020-02-18 Ihab Haidar , Yacine Chitour , Paolo Mason , Mario Sigalotti

We study the well-posedness and stability of an impedance passive infinite-dimensional linear system under nonlinear feedback of the form $u(t)=\phi(v(t)-y(t))$, where $\phi$ is a monotone function. Our first main result introduces…

最优化与控制 · 数学 2025-06-19 Anthony Hastir , Lassi Paunonen

We develop a predictor-feedback control design for multi-input nonlinear systems with distinct input delays, of arbitrary length, in each individual input channel. Due to the fact that different input signals reach the plant at different…

最优化与控制 · 数学 2015-08-25 Nikolaos Bekiaris-Liberis , Miroslav Krstic

The paper discusses linear fractional representations of parameter-dependent nonlinear systems with dynamics defined by real rational nonlinearities and a finite set of point delays. The global asymptotic stability is investigated via…

动力系统 · 数学 2008-03-27 M. De la Sen

Discrete-time models of non-uniformly sampled nonlinear systems under zero-order hold relate the next state sample to the current state sample, (constant) input value, and sampling interval. The exact discrete-time model, that is, the…

系统与控制 · 计算机科学 2018-07-30 Alexis J. Vallarella , Hernan Haimovich

The existence of generalized steady states (GSSs) in nonlinear mechanical systems under moderate temporally aperiodic forcing has only been shown recently. Here we derive systematic expansions for such GSSs and construct a numerical…

The purpose of the present work is to study the existence of solutions to initial value problems for nonlinear first order differential systems with nonlinear nonlocal boundary conditions of functional type. The existence results are…

经典分析与常微分方程 · 数学 2021-02-09 Octavia Bolojan-Nica , Gennaro Infante , Radu Precup

We close the problem of the existence of period annuli in planar piecewise linear differential systems with a straight line of nonsmoothness. In fact, a characterization for the existence of such objects is provided by means of a few basic…

动力系统 · 数学 2023-07-31 Victoriano Carmona , Fernando Fernández-Sánchez , Douglas D. Novaes

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

系统与控制 · 计算机科学 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

We consider linear time invariant systems with exogenous stochastic disturbances, and in feedback with structured stochastic uncertainties. This setting encompasses linear systems with both additive and multiplicative noise. Our concern is…

系统与控制 · 计算机科学 2020-04-06 Bassam Bamieh , Maurice Filo

In this paper, we introduce the notion of boundary delay equations, establishing a unified framework for analyzing linear time-invariant systems with pure time-delayed boundary conditions. We establish mild sufficient conditions for the…

最优化与控制 · 数学 2025-12-05 Yassine El Gantouh , Yang Liu

We address stability of a class of Markovian discrete-time stochastic hybrid systems. This class of systems is characterized by the state-space of the system being partitioned into a safe or target set and its exterior, and the dynamics of…

最优化与控制 · 数学 2011-03-09 Debasish Chatterjee , Soumik Pal

In this paper, we consider the stability of discrete-time linear switched systems with a common non-strict Lyapunov matrix.

最优化与控制 · 数学 2011-08-02 Xiongping Dai , Yu Huang , Mingqing Xiao

We study the stability of coupled impedance passive regular linear systems under power-preserving interconnections. We present new conditions for strong, exponential, and non-uniform stability of the closed-loop system. We apply the…

最优化与控制 · 数学 2023-03-01 Lassi Paunonen

We propose matrix commutator based stability characterization for discrete-time switched linear systems under restricted switching. Given an admissible minimum dwell time, we identify sufficient conditions on subsystems such that a switched…

系统与控制 · 计算机科学 2020-05-18 Atreyee Kundu

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time…

最优化与控制 · 数学 2020-05-28 Jean-Michel Coron , Hoai-Minh Nguyen

Classical conditions for ensuring the robust stability of a linear system in feedback with a sector-bounded nonlinearity include small gain, circle, passivity, and conicity theorems. In this work, we present a similar stability condition,…

最优化与控制 · 数学 2019-09-18 Saman Cyrus , Laurent Lessard

Solutions to the interval observation problem for delayed impulsive and switched systems with $L_1$-performance are provided. The approach is based on first obtaining stability and $L_1/\ell_1$-to-$L_1/\ell_1$ performance analysis…

最优化与控制 · 数学 2018-10-16 Corentin Briat