Lyapunov‐Krasovskii stability analysis of delayed Filippov system: Applications to neural networks with switching control
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4787
Abstract: This paper gives the stability analysis of Filippov system with delay. Under the Filippov‐framework, we introduce a general type of Lyapunov‐Krasovskii functional (LKF) to derive the stability of delayed differential inclusions (DDIs), where the indefiniteness… read more here.
Keywords: lyapunov krasovskii; control; stability analysis; stability ... See more keywords
Exponential stability analysis of neural networks with a time‐varying delay via a generalized Lyapunov‐Krasovskii functional method
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5304
Abstract: As is known to all that the Lyapunov‐Krasovskii functional (LKF) method plays a significant role in deriving exponential stability criteria of neural networks with a time‐varying delay. However, when the LKF method is adopted, the… read more here.
Keywords: exponential stability; lyapunov krasovskii; method; varying delay ... See more keywords
Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5684
Abstract: In this article, we present a general construction of Lyapunov–Krasovskii functionals for a class of neutral‐type time delay systems with a linear difference part and homogeneous right‐hand sides of degree strictly greater than one. Under… read more here.
Keywords: krasovskii functionals; neutral type; lyapunov krasovskii; delay systems ... See more keywords
Stability analysis for delayed neural networks based on the augmented Lyapunov-Krasovskii functional with delay-product-type and multiple integral terms
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
DOI: 10.1016/j.neucom.2020.05.045
Abstract: Abstract This paper studies the stability problem for neural networks with time-varying delay. A novel Lyapunov-Krasovskii functional (LKF) is constructed that contains a delay-product-type (DPT) functional and a multiple-integral-type (MIT) functional. Therein, the DPT functional… read more here.
Keywords: neural networks; lyapunov krasovskii; type; krasovskii functional ... See more keywords
Quantised MPC for LPV systems by using new Lyapunov–Krasovskii functional
Sign Up to like & getrecommendations! Published in 2017 at "Iet Control Theory and Applications"
DOI: 10.1049/iet-cta.2016.0597
Abstract: This study deals with the problem of sampled-data model predictive control (MPC) for linear parameter varying (LPV) systems with input quantisation. The LPV systems under consideration depend on a set of parameters that are bounded… read more here.
Keywords: new lyapunov; control; lyapunov krasovskii; lpv systems ... See more keywords
Non-monotonic Lyapunov-Krasovskii functional approach to stability analysis and stabilization of discrete time-delay systems
Sign Up to like & getrecommendations! Published in 2020 at "IEEE/CAA Journal of Automatica Sinica"
DOI: 10.1109/jas.2020.1003102
Abstract: In this paper, a novel non-monotonic Lyapunov-Krasovskii functional approach is proposed to deal with the stability analysis and stabilization problem of linear discrete time-delay systems. This technique is utilized to relax the monotonic requirement of… read more here.
Keywords: lyapunov; non monotonic; delay systems; stability ... See more keywords
Stability Analysis of Haptic Systems With Time-Varying Delay via a Delay-Product-Type Lyapunov–Krasovskii Functional
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Circuits and Systems II: Express Briefs"
DOI: 10.1109/tcsii.2022.3186632
Abstract: In this brief, the stability of the haptic system with a time-varying delay is studied by developing a new stability criterion. Firstly, the haptic system model with a time-varying delay is established. Next, based on… read more here.
Keywords: varying delay; stability; time varying; lyapunov krasovskii ... See more keywords
A Fuzzy Lyapunov–Krasovskii Functional Approach to Sampled-Data Output-Feedback Stabilization of Polynomial Fuzzy Systems
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Fuzzy Systems"
DOI: 10.1109/tfuzz.2016.2637368
Abstract: This paper presents an output-feedback exponential stabilization condition of sampled-data polynomial fuzzy control systems under variable sampling rates. Compared with previous work, the proposed method is less conservative because of the newly developed time-dependent fuzzy… read more here.
Keywords: output feedback; sampled data; lyapunov krasovskii; krasovskii functional ... See more keywords