Input-to-State Stability Analysis of Subhomogeneous Cooperative Systems
IEEE Access, 2020 This paper analyzes the input-to-state stability (ISS) properties of subhomogeneous cooperative systems for the first time. A new definition of finite-time ISS (FISS) for nonlinear positive systems is given.
Yan Zhao, Fanwei Meng
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Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form [PDF]
, 2005 Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed.
Laila, D. S. +5 more
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Visnik 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
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Control of Haptic Systems Based on Input-to-State Stability
IEEE Access, 2022 Discretization of signals often generates additional energy in the haptic systems, and makes them unstable. The currently popular controls based on the passivity stabilize the systems by limiting the rendered force of the haptic systems so that the ...
Suyong Kim, Doo Yong Lee
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Input-to-State Stability Analysis for Stochastic Delayed Systems With Markovian Switching
IEEE Access, 2017 This paper is concerned with the input-to-state stability (ISS) and integral input-to-state stability (iISS) of stochastic delayed systems with Markovian switching. By using the multiple Lyapunovlike function and Lyapunov-Krasovskii function methods, the
Yanlei Wu +4 more
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Input-to-State Stability of Variable Impedance Control for Robotic Manipulator
Applied 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
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Novel Criteria of ISS Analysis for Delayed Memristive Simplified Cohen–Grossberg BAM Neural Networks
Complexity, 2020 The memristor as the fourth circuit element, it can capture some key aspects of biological synaptic plasticity. So, it is significant that the characteristic of memristors is considered in neural networks. This paper investigates input-to-state stability
Yong Zhao, Shanshan Ren
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The exponential input-to-state stability property: characterisations and feedback connections [PDF]
, 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
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On Input-to-State Stability of Impulsive Stochastic Systems with Time Delays
Abstract and Applied Analysis, 2014 This paper is concerned with pth moment input-to-state stability (p-ISS) and stochastic input-to-state stability (SISS) of impulsive stochastic systems with time delays.
Fengqi Yao, Pei Cheng, Hao Shen, Li Qiu
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Lyapunov Functions for State Observers of Dynamic Systems Using Hamilton–Jacobi Inequalities
Mathematics, 2020 Lyapunov functions enable analyzing the stability of dynamic systems described by ordinary differential equations without finding the solution of such equations. For nonlinear systems, devising a Lyapunov function is not an easy task to solve in general.
Angelo Alessandri
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