Novel delay-derivative-dependent stability criteria using new bounding techniques

DOI10.1002/rnc.2829zbMath1278.93230OpenAlexW2153764327MaRDI QIDQ2873464

Xian-Ming Zhang, Qing-Long Han

Publication date: 24 January 2014

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.2829

zbMATH Keywords

stabilityintegral inequalityinterval time-varying delaydelay-derivative-dependent stabilitybounding technique

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling, Memory sampled data control for switched-type neural networks and its application in image secure communications, New absolute stability criteria for uncertain Lur'e systems with time-varying delays, Event-triggered \(H_\infty\) state estimation for state-saturated complex networks subject to quantization effects and distributed delays, Network-based PI control for output tracking of continuous-time systems with time-varying sampling and network-induced delays, Data-driven optimal tracking control for discrete-time systems with delays using adaptive dynamic programming, \(H_{\infty}\) control for nonlinear systems with time-varying delay using matrix-based quadratic convex approach, Event-triggered synchronization strategy for complex dynamical networks with the Markovian switching topologies, Finite-time stability and stabilization for continuous systems with additive time-varying delays, Network-based output tracking control for T-S fuzzy systems using an event-triggered communication scheme, Event-triggered containment control for multi-agent systems with constant time delays, Improved delay-dependent approach to passivity analysis for uncertain neural networks with discrete interval and distributed time-varying delays, An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay, Event‐triggered quantized L2−L∞$$ {\mathfrak{L}}_2-{\mathfrak{L}}_{\infty } $$ filtering for neural networks under denial‐of‐service attacks, A sufficient negative‐definiteness condition for cubic functions and application to time‐delay systems, A survey of inequality techniques for stability analysis of time‐delay systems, Event-triggered dissipative control for networked stochastic systems under non-uniform sampling, Dissipativity analysis for Lur'e systems with two additive time‐varying delays via some novel Lyapunov–Krasovskii functionals, Event-triggered dynamic output feedback control for networked control systems with probabilistic nonlinearities, Decentralized event-triggered \(H_\infty\) control for neural networks subject to cyber-attacks, Robust event-triggered control for networked control systems, Event-triggered consensus for linear continuous-time multi-agent systems based on a predictor, Event-triggered cooperative control of vehicle platoons in vehicular ad hoc networks, Event-based robust stabilization of uncertain networked control systems under quantization and denial-of-service attacks, Event-triggered fuzzy \(H_\infty\) control for a class of nonlinear networked control systems using the deviation bounds of asynchronous normalized membership functions, Stability analysis of nonlinear telerobotic systems with time-varying communication channel delays using general integral inequalities, State estimator for neural networks with sampled data using discontinuous Lyapunov functional approach, A robust low-complexity tracker design with preassigned performance for uncertain high-order nonlinear systems with unknown time-varying delays and high powers, A survey on Lyapunov-based methods for stability of linear time-delay systems, Finite-time robust control of a class of nonlinear time-delay systems via Lyapunov functional method, A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems, Stability analysis of delayed Takagi-Sugeno fuzzy systems: a new integral inequality approach, Hierarchical stability conditions of systems with time-varying delay, Sampling-based cooperative adaptive cruise control subject to communication delays and actuator lags, Sampled-data leader-following consensus for nonlinear multi-agent systems with Markovian switching topologies and communication delay, Further results on delay-dependent stability criteria of discrete systems with an interval time-varying delay, Finite-time stability of large-scale systems with interval time-varying delay in interconnection, Further robust stability analysis for uncertain Takagi-Sugeno fuzzy systems with time-varying delay via relaxed integral inequality, A delay-range-partition approach to analyse stability of linear systems with time-varying delays, Tracking control for non-Gaussian stochastic distribution sampled-data fuzzy systems, Less conservative stability criteria for linear systems with interval time‐varying delays, Global asymptotic stability analysis for delayed neural networks using a matrix-based quadratic convex approach, Observer-based finite-time robust control of nonlinear time-delay systems via Hamiltonian function method, Distributed Consensus of Multi‐Agent Networks Via Event‐Triggered Pinning Control

Cites Work

• Reciprocally convex approach to stability of systems with time-varying delays
• Improved stability criteria and controller design for linear neutral systems
• New stability criteria for linear systems with interval time-varying delay
• New conditions for delay-derivative-dependent stability
• Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations
• New delay-dependent stability criteria for systems with interval delay
• Stability and robust stability for systems with a time-varying delay
• Improved delay-dependent stability criteria for systems with a delay varying in a range
• Absolute stability of time-delay systems with sector-bounded nonlinearity
• Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays
• Improved delay-dependent absolute stability and robust stability for a class of nonlinear systems with a time-varying delay
• Absolute stability and stabilization for Lurie networked control systems
• Delay-dependent stability and stabilization of neutral time-delay systems
• New results for delay-dependent stability of linear systems with time-varying delay
• The Problem of the Absolute Continuity for Lyapunov–Krasovskii Functionals
• Stability of time-delay systems