Criteria for Input-to-State Practical Stability [PDF]
IEEE 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
Comparison principles and input-to-state stability for stochastic impulsive systems with delays
Systems 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 +1 more source
Impact of renewable energy penetration rate on power system frequency stability
Energy 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
Measurement feedback controller design to achieve input to state stability [PDF]
, 2004 An approach for design of measurement feedback controllers achieving input-to-state (ISS) stability properties is presented. A synthesis procedure based on dynamic programming is given. We make use of recently developed results on controller synthesis to
Dower, PM +3 more
core +1 more source
Dynamic stability analysis of grid-connected DFIG-WECS considering wind speed fluctuations
Zhejiang dianliTo investigate the dynamic stability of doubly-fed induction generator-based wind energy conversion systems （DFIG-WECS） when connected into weak AC grids， this study proposes a novel dynamic stability assessment index.
LI Dongdong +6 more
doaj +1 more source
Input-to-State Stability of Linear Stochastic Functional Differential Equations
Journal of Function Spaces, 2016 The purpose of the paper is to show how asymptotic properties, first of all stochastic Lyapunov stability, of linear stochastic functional differential equations can be studied via the property of solvability of the equation in certain pairs of spaces of
Ramazan Kadiev, Arcady Ponosov
doaj +1 more source
Input-to-state stability of infinite-dimensional control systems
, 2012 We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of an ISS-Lyapunov function implies the input-to-state stability of a system.
AM Turing +25 more
core +1 more source
LSTM Neural Networks: Input to State Stability and Probabilistic Safety Verification [PDF]
, 2020 The goal of this paper is to analyze Long Short Term Memory (LSTM) neural networks from a dynamical system perspective. The classical recursive equations describing the evolution of LSTM can be recast in state space form, resulting in a time-invariant ...
Bonassi, Fabio +3 more
core +1 more source
Input-to-State Stability of Singularly Perturbed Control Systems with Delays
Journal of Applied Mathematics, 2013 We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly ...
Yongxiang Zhao, Aiguo Xiao, Li Li
doaj +1 more source
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
doaj +1 more source