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This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

最优化与控制 · 数学 2016-09-01 Yinan Li , Jun Liu

This paper focuses on observer based fault reconstruction for a class of nonlinear uncertain systems with Lipschitz nonlinearities. An adaptive-gain Super-Twisting (STW) observer is developed for observing the system states, where the…

最优化与控制 · 数学 2013-03-26 Jianxing Liu , Salah Laghrouche , Maxime Wack

A simple pseudo-Hamiltonian formulation is proposed for the linear inhomogeneous systems of ODEs. In contrast to the usual Hamiltonian mechanics, our approach is based on the use of non-stationary Poisson brackets, i.e. corresponding…

量子物理 · 物理学 2009-11-11 V. G. Kupriyanov , S. L. Lyakhovich , A. A. Sharapov

In this article, the observer-based coordinated tracking control problem for a class of nonlinear multi-agent systems(MASs) with intermittent communication and information constraints is studied under dynamic switching topology. First, a…

系统与控制 · 电气工程与系统科学 2022-06-30 Yuhang Zhang , Yulian Jiang , Shenquan Wang

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is to achieve dissipativity with respect to a given quadratic supply rate or a given $H_2$…

最优化与控制 · 数学 2026-03-25 Pietro Kristović , Andrej Jokić , Mircea Lazar

The relative degree limitation for adaptive observer-based synchronization schemes is overcome. The scheme is extended to nonpassifiable systems. Two synchronization methods are described and justified based on augmented error adaptive…

最优化与控制 · 数学 2007-05-23 V. O. Nikiforov , A. L. Fradkov , B. R. Andrievsky

We derive an exact deterministic nonlinear observer to compute the continuous state of an inertial navigation system based on partial discrete measurements, the so-called strapdown problem. Nonlinear contraction is used as the main analysis…

最优化与控制 · 数学 2007-05-23 Yong Zhao , Jean-Jacques E. Slotine

We investigate stochastic averaging theory for locally Lipschitz discrete-time nonlinear systems with stochastic perturbation and its applications to convergence analysis of discrete-time stochastic extremum seeking algorithms. Firstly, by…

最优化与控制 · 数学 2015-02-18 Shu-Jun Liu , Miroslav Krstic

In [1], it is established that a convergent observer with an infinite gain margin can be designed for a given nonlinear system when a Riemannian metric showing that the system is differentially detectable (i.e., the Lie derivative of the…

最优化与控制 · 数学 2016-06-21 Ricardo G. Sanfelice , Laurent Praly

This paper develops a data-driven safe control framework for nonlinear discrete-time systems with parametric uncertainty and additive disturbances. The proposed approach constructs a data-consistent closed-loop representation that enables…

系统与控制 · 电气工程与系统科学 2026-04-02 Amir Modares , Bahare Kiumarsi , Hamidreza Modares

The present paper proposes new fully discrete schemes for long-time approximations of stochastic partial differential equations (SPDEs) with non-globally Lipschitz coefficients in a bounded domain $D \subset \R^d, d =1,2,3 $. A novel family…

数值分析 · 数学 2026-03-25 Ruisheng Qi , Xiaojie Wang

This paper is concerned with the leader-following consensus problem for a class of Lipschitz nonlinear multi-agent systems with uncertain dynamics, where each agent only transmits its noisy output, at discrete instants and independently…

最优化与控制 · 数学 2020-07-03 Tomas Menard , Ali Syed , Emmanuel Moulay , Patrick Coirault , Michael Defoort

This paper explores the observability and estimation capability of dynamical systems using predominantly relative measurements of the system's state-space variables, with minimal to no reliance on absolute measurements of these variables.…

系统与控制 · 电气工程与系统科学 2024-10-29 Ioannis Raptis

In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving…

系统与控制 · 电气工程与系统科学 2021-09-15 Costas Kravaris , Sunjeev Venkateswaran

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

系统与控制 · 电气工程与系统科学 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

This paper investigates the problem of consensus-based distributed control of linear time-invariant multi-channel systems subject to unknown inputs. A distributed observer-based control framework is proposed, within which observer nodes and…

系统与控制 · 电气工程与系统科学 2025-12-02 Ganghui Cao , Xunyuan Yin

In this paper we propose dynamic output-feedback controller synthesis methods for discrete-time linear time-invariant systems. The synthesis goal is either to achieve dissipativity with respect to a given quadratic supply rate, or to…

最优化与控制 · 数学 2026-05-27 Pietro Kristović , Andrej Jokić , Mircea Lazar

This paper extends the application of a recently proposed nonlinear observer (cubic observer) for state estimation of linear systems with unknown inputs and delays. The generalized structure proposed here, makes it possible to establish a…

最优化与控制 · 数学 2019-12-24 Mohammad Mahdi Share Pasand

This paper studies a network of observers for a distributed estimation problem, where each observer assesses a portion of output of a given LTI system. The goal of each observer is to compute a state estimate that asymptotically converges…

最优化与控制 · 数学 2012-03-19 Shinkyu Park , Nuno C. Martins

This work addresses the design of static output feedback control of discrete-time nonlinear systems satisfying a local Lipschitz continuity condition with time-varying uncertainties. The controller has also a guaranteed disturbance…

系统与控制 · 计算机科学 2016-06-28 Masoud Abbaszadeh , Horacio J. Marquez