Results 1 to 10 of about 93,727,230 (258)

Comparison principles and input-to-state stability for stochastic impulsive systems with delays

open access: yesSystems Science & Control Engineering, 2021
In this paper, the input-to-state stability (ISS), the pth moment exponential ISS and the stochastic input-to-state stability issues are investigated for the stochastic impulsive systems with time delays via the comparison principle method.
Shuang Liang, Jinling Liang
doaj   +2 more sources

On input-to-state stability of stochastic retarded systems with Markovian switching [PDF]

open access: yes, 2009
This note develops a Razumikhin-type theorem on pth moment input-to-state stability of hybrid stochastic retarded systems (also known as stochastic retarded systems with Markovian switching), which is an improvement of an existing result.
Huang, Lirong, Mao, Xuerong
core   +4 more sources

Input-to-State Stability and Stabilization of Nonlinear Impulsive Positive Systems

open access: yesMathematics, 2021
This paper focuses on the problems of input-to-state stability (ISS) and stabilization for nonlinear impulsive positive systems (NIPS). Using the max-separable ISS Lyapunov function method, a sufficient condition on ISS is given for general NIPS. On that
Yiqing Xue, Ping Zhao
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

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

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

Impact of renewable energy penetration rate on power system frequency stability

open access: yesEnergy Reports, 2022
The construction of large-scale renewable energy sources has caused challenges to frequency stability of power system. This paper presents a method to evaluate the frequency stability of power system with high penetration of renewables. Based on input-to-
Boyu Qin   +3 more
doaj   +1 more source

Improved Multiple Lyapunov Functions of input-to-output Stability and input-to-state Stability for Switched Systems

open access: yesJournal of Advanced Transportation, 2022
This paper investigates the Lyapunov characterizations of input-to-output stability (IOS) and input-to-state stability (ISS) for nonlinear switched systems.
Shizhang Chen, Chongyang Ning
doaj   +1 more source

On characterisations of the input to state stability properties for conformable fractional order bilinear systems

open access: yesIET Control Theory & Applications, 2022
This paper proposes for the first time the theoretical requirements that a fractional‐order bilinear system with conformable derivative has to fulfil in order to satisfy different input‐to‐state stability (ISS) properties.
Hasan Abbasi Nozari   +2 more
doaj   +1 more source

Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity

open access: yesAxioms, 2021
In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in a highly re-entrant manufacturing system.
Simone Göttlich   +2 more
doaj   +1 more source

A small gain theorem for finite-time input-to-state stability of infinite networks and its applications

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021
We prove a small-gain sufficient condition for (global) finite-time input-to-state stability (FTISS) of infinite networks. The network under consideration is composed of a countable set of finite-dimensional subsystems of ordinary differential equations,
Svyatoslav Pavlichkov
doaj   +1 more source

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