Results 11 to 20 of about 2,478 (171)

Observer-Based Distributed Consensus Control for Nonlinear Lipschitz and One-Side Lipschitz Fractional-Order Multi-Agent Systems [PDF]

International Journal of Industrial Electronics, Control and Optimization
In this paper, an observer-based controller design for fractional-order multi-agent systems is discussed. By introducing a novel algorithm and leveraging appropriate lemmas and theoretical frameworks, we propose a stable observer and a distributed ...
Farshid Aazam Manesh, Elham Amini Boroujeni, Fateme Bazarkhak, Mahdi Pourgholi   +3 more
doaj   +1 more source

Existence, uniqueness and stability results of impulsive stochastic semilinear neutral functional differential equations with infinite delays

Electronic Journal of Qualitative Theory of Differential Equations, 2009
This article presents the results on existence, uniqueness and stability of mild solutions of impulsive stochastic semilinear neutral functional differential equations without a Lipschitz condition and with a Lipschitz condition. The results are obtained
Annamalai Anguraj, A. Vinodkumar
doaj   +1 more source

Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems

Mathematics, 2016
This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback, which renders the non ...
Nawel Khelil, Martin J.-D. Otis
doaj   +1 more source

Existence and stability of mild solutions to parabolic stochastic partial differential equations driven by Lévy space-time noise

Electronic Journal of Qualitative Theory of Differential Equations, 2016
This paper is concerned with well-posedness and stability of parabolic stochastic partial differential equations. Firstly, we obtain some sufficient conditions ensuring the existence and uniqueness of mild solutions, and some $\mathcal{H}$-stability ...
Chaoliang Luo, Shangjiang Guo
doaj   +1 more source

Stability analysis for nonlinear closed loop system structure

Systems Science & Control Engineering, 2020
In this paper, stability analysis is studied for the nonlinear closed loop system with a nonlinear plant and a nonlinear controller. Without the linearizing process for the nonlinear plant and the nonlinear controller, a Lipschitz continuous assumption ...
Wang Jianhong, Ricardo A. Ramirez-Mendoza   +1 more
doaj   +1 more source

Semicontinuity of the Automorphism Groups of Domains with Rough Boundary

International Journal of Mathematics and Mathematical Sciences, 2012
Based on some ideas of Greene and Krantz, we study the semicontinuity of automorphism groups of domains in one and several complex variables. We show that semicontinuity fails for domains in , , with Lipschitz boundary, but it holds for domains in with ...
Steven G. Krantz
doaj   +1 more source

Spectral Properties and Stability in Vector-Valued Lipschitz Algebras [PDF]

Sahand Communications in Mathematical Analysis
Let  $A$ be a commutative Banach algebra and $(K,d)$ be a compact metric space. In this paper, we examine various spectral properties, including the unique uniform norm property, weak regularity, Ditkin's condition and local operators, within the context
Hossein Aboubakri, Ali Ebadian, Ali Jabbari   +2 more
doaj   +1 more source

Asymptotical stability of Runge–Kutta methods for nonlinear impulsive differential equations

Advances in Difference Equations, 2020
In this paper, asymptotical stability of the exact solutions of nonlinear impulsive ordinary differential equations is studied under Lipschitz conditions.
Gui-Lai Zhang
doaj   +1 more source

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

Advanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi, Amirreza Davar, Dongyi Wang   +2 more
wiley   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

Advanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source