Two novel general summation inequalities to discrete-time systems with time-varying delay
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Publication:1661232
DOI10.1016/j.jfranklin.2017.06.008zbMath1395.93342OpenAlexW2654483560MaRDI QIDQ1661232
Shengyuan Xu, Yong-Min Li, Qian Ma, Yu-Ming Chu, Zheng Qiang Zhang, Jun Chen
Publication date: 16 August 2018
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.06.008
Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05)
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Cites Work
- Improvement on stability conditions for continuous-time T-S fuzzy systems
- An improved summation inequality to discrete-time systems with time-varying delay
- Stability and stabilization for discrete-time systems with time-varying delays via augmented Lyapunov-Krasovskii functional
- Reciprocally convex approach to stability of systems with time-varying delays
- Hierarchy of LMI conditions for the stability analysis of time-delay systems
- Abel lemma-based finite-sum inequality and its application to stability analysis for linear discrete time-delay systems
- Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality
- Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems
- Discrete Wirtinger-based inequality and its application
- Robust output feedback control of uncertain time-delay systems with actuator saturation and disturbances
- Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems
- Output feedback stabilization of networked control systems with a logic zero-order-hold
- Event-based \(H_\infty\) filtering for sampled-data systems
- Relaxed conditions for stability of time-varying delay systems
- New delay-dependent stability criteria for systems with interval delay
- Wirtinger-based integral inequality: application to time-delay systems
- A new result on the delay-dependent stability of discrete systems with time-varying delays
- Event-triggeredH∞control for a class of nonlinear networked control systems using novel integral inequalities
- Delay-Variation-Dependent Stability of Delayed Discrete-Time Systems
- Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality
- Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay
- Summation Inequalities to Bounded Real Lemmas of Discrete-Time Systems With Time-Varying Delay
- Two general integral inequalities and their applications to stability analysis for systems with time‐varying delay
- New Stability Criteria for Linear Discrete-Time Systems With Interval-Like Time-Varying Delays
- A New Model Transformation of Discrete-Time Systems With Time-Varying Delay and Its Application to Stability Analysis
- Stability of time-delay systems
