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This paper studies finite-time stability and instability theorems in probability sense for stochastic nonlinear systems. Firstly, a new sufficient condition is proposed to guarantee that the considered system has a global solution.…

最优化与控制 · 数学 2022-07-26 Weihai Zhang , Liqiang Yao

For the class of nonlinear input-affine systems with polynomial dynamics, we consider the problem of designing an input-to-state stabilizing controller with respect to typical exogenous signals in a feedback control system, such as actuator…

最优化与控制 · 数学 2025-11-06 Hailong Chen , Andrea Bisoffi , Claudio De Persis

It is an interesting open problem to achieve adaptive prescribed-time control for strict-feedback systems with unknown and fast or even abrupt time-varying parameters. In this paper we present a solution with the aid of several design and…

系统与控制 · 电气工程与系统科学 2022-10-25 Hefu Ye , Yongduan Song

A system is called positive if the set of non-negative states is left invariant by the dynamics. Stability analysis and controller optimization are greatly simplified for such systems. For example, linear Lyapunov functions and storage…

最优化与控制 · 数学 2015-06-19 Anders Rantzer

Predictive safety filters provide a way of projecting potentially unsafe inputs, proposed, e.g. by a human or learning-based controller, onto the set of inputs that guarantee recursive state and input constraint satisfaction by leveraging…

系统与控制 · 电气工程与系统科学 2024-04-30 Alexandre Didier , Andrea Zanelli , Kim P. Wabersich , Melanie N. Zeilinger

In this paper, we present new results on finite- and fixed-time convergence for dynamical systems using LaSalle-like invariance principles. In particular, we provide first and second-order non-smooth Lyapunov-like results for finite- and…

最优化与控制 · 数学 2026-03-25 Kunal Garg

The orbit tracking of free-evolutionary target system in closed quantum systems is studied in this paper. Based on the concept of system control theory, the unitary transformation is applied to change the time-dependent target function into…

数学物理 · 物理学 2018-08-10 Shuang Cong , Jianxiu Liu , Fei Yang

In this paper, the problem of non-fragile finite-time stabilization for linear discrete mean-field stochastic systems is studied. The uncertain characteristics in control parameters are assumed to be random satisfying the Bernoulli…

最优化与控制 · 数学 2023-01-24 Tianliang Zhang , Feiqi Deng , Peng Shi

A general framework is presented for analyzing the stability and performance of nonlinear and linear parameter varying (LPV) time delayed systems. First, the input/output behavior of the time delay operator is bounded in the frequency…

系统与控制 · 计算机科学 2015-04-13 Harald Pfifer , Peter Seiler

This paper explores the voltage regulation challenges in boost converter systems, which are critical components in power electronics due to their ability to step up voltage levels efficiently. The proposed control algorithm ensures…

系统与控制 · 电气工程与系统科学 2025-08-12 Yiwei Liu , Ziming Wang , Xin Wang , Yiding Ji

Recent work has shown that stabilizing an affine control system while optimizing a quadratic cost subject to state and control constraints can be mapped to a sequence of Quadratic Programs (QPs) using Control Barrier Functions (CBFs) and…

最优化与控制 · 数学 2024-07-26 Shuo Liu , Wei Xiao , Calin A. Belta

The topic of this manuscript is the stability analysis of continuous-time switched nonlinear systems with constraints on the admissible switching signals. Our particular focus lies in considering signals characterized by upper and lower…

最优化与控制 · 数学 2024-01-17 Matteo Della Rossa

This paper provides sufficient conditions for stability of switched linear systems under dwell-time switching. Piece-wise quadratic functions are utilized to characterize the Lyapunov functions and bilinear matrix inequalities conditions…

动力系统 · 数学 2014-12-01 Masood Dehghan , Marcelo H. Ang

This paper introduces a parameter adaptation-based control law for a class of nonlinear, control-affine, safety-critical systems subject to additive, parameter-affine model uncertainty. It is shown that the uncertainty is learned in…

最优化与控制 · 数学 2023-08-02 Mitchell Black , Ehsan Arabi , Dimitra Panagou

This paper presents novel polytopic and interval observer designs for uncertain linear continuous-time (CT) and discrete-time (DT) systems subjected to bounded disturbances and noise. Our approach guarantees enclosure of the true state and…

系统与控制 · 电气工程与系统科学 2025-12-04 Feiya Zhu , Tarun Pati , Sze Zheng Yong

Stability margins for linear time-varying (LTV) and switched-linear systems are traditionally computed via quadratic Lyapunov functions, and these functions certify the stability of the system under study. In this work, we show how the more…

系统与控制 · 电气工程与系统科学 2020-12-08 Corbin Klett , Matthew Abate , Samuel Coogan , Eric Feron

Many systems such as autonomous vehicles and quadrotors are subject to parametric uncertainties and external disturbances. These uncertainties can lead to undesired performance degradation and safety issues. Therefore, it is important to…

系统与控制 · 电气工程与系统科学 2019-10-09 Huishan Chen , Zheng Zhang

In this paper we provide a set of stability conditions for linear time-varying networked control systems with arbitrary topologies using a piecewise quadratic switching stabilization approach with multiple quadratic Lyapunov functions. We…

最优化与控制 · 数学 2018-04-04 Mohammad Razeghi-Jahromi , Saeed Manaffam , Alireza Seyedi , Azadeh Vosoughi

This paper presents a Lyapunov function based control strategy for networked control systems (NCS) affected by variable time delays and data loss. A special focus is put on the reduction of the computational complexity. A specific buffering…

系统与控制 · 电气工程与系统科学 2023-06-13 Katarina Stanojevic , Martin Steinberger , Martin Horn

This paper proposes novel fixed-time (FXT) convergent neurodynamic approaches for solving mixed variational inequality problems (MVIs). A class of first-order proximal neurodynamic models (PNMs), including time-varying proximal neurodynamic…

最优化与控制 · 数学 2026-05-04 Vajahat Karim Khan , Vijendra Kumar Varshney , Md. Kalimuddin Ahmad