Results 21 to 30 of about 1,641,408 (306)

Incremental input-to-state stability for Lur’e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing

open access: yes, 2021
We prove (integral) input-to-state stability results for a class of forced Lur’e differential inclusions and use them to investigate incremental (integral) input-to-state stability properties of Lur’e differential equations.
Logemann, Hartmut   +2 more
core   +1 more source

Input-to-State Stability of Variable Impedance Control for Robotic Manipulator

open access: yesApplied Sciences, 2020
Variable impedance control has been required to perform a variety of interactive tasks in contact with environments. In some cases, the time-varying stiffness matrix of the impedance model can be used to achieve high performance for uneven contact tasks.
Junho Park, Youngjin Choi
doaj   +1 more source

A generalization of Input-to-State Stability

open access: yes2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
Input-to-State Stability (ISS) and its many derivatives have proved to be extremely useful in the analysis and design of robustly stable nonlinear systems. In this paper, we present a generalization of ISS that subsumes several ISS-type properties and discuss cases where this generalization may fail.
Christopher M. Kellett, Peter M. Dower
openaire   +2 more sources

The exponential input-to-state stability property: characterisations and feedback connections

open access: yes, 2023
The exponential input-to-state stability (ISS) property is considered for systems of controlled nonlinear ordinary differential equations. A characterisation of this property is provided, including in terms of a so-called exponential ISS Lyapunov ...
Chris Guiver   +3 more
core   +1 more source

Input-to-State Stability and Stabilization of Sampled-Data Systems Under Aperiodic Sampling and Random Sampling

open access: yesIEEE Access, 2021
In this article, input-to-state stability (ISS) and stabilization are examined for sampled-data systems under deterministic aperiodic sampling and random sampling, respectively.
Ping Zhao, Ben Niu, Wei Feng, Zhiguo Yan
doaj   +1 more source

Stability of limit regimes in general reaction-diffusion type systems

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян   +1 more
doaj   +1 more source

A graph-theoretic approach to global input-to-state stability for coupled control systems

open access: yesAdvances in Difference Equations, 2017
In this paper, the input-to-state stability for coupled control systems is investigated. A systematic method of constructing a global Lyapunov function for the coupled control systems is provided by combining graph theory and the Lyapunov method ...
Yu Qiao, Yue Huang, Minghao Chen
doaj   +1 more source

Mean-square exponential input-to-state stability of stochastic inertial neural networks

open access: yesAdvances in Difference Equations, 2021
By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state ...
Wentao Wang, Wei Chen
doaj   +1 more source

Gradient-Descent-Based Learning Gain for Backstepping Controller and Disturbance Observer of Nonlinear Systems

open access: yesIEEE Access, 2023
This paper proposes a gradient-descent-based learning (GL) gain for backstepping controller and disturbance observer (DOB) of nonlinear system. The proposed method consists of the GL gain update law, controller, and DOB.
Sesun You   +3 more
doaj   +1 more source

Criteria for Input-to-State Practical Stability [PDF]

open access: yesIEEE Transactions on Automatic Control, 2019
For a broad class of infinite-dimensional systems, we characterize input-to-state practical stability (ISpS) using the uniform limit property and in terms of input-to-state stability. We specialize our results to the systems with Lipschitz continuous flows and evolution equations in Banach spaces.
openaire   +2 more sources

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