Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays

DOI10.1016/j.amc.2019.124981zbMath1433.93083OpenAlexW3000495427WikidataQ115598130 ScholiaQ115598130MaRDI QIDQ2287807

Zhengrong Xiang, Shuo Li

Publication date: 21 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124981

zbMATH Keywords

exponential stabilitypositivitysingular switched positive systemsdisturbance attenuation performancetime-varying distributed delays

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Hybrid systems of functional-differential equations (34K34) Circuits in qualitative investigation and simulation of models (94C60)

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Cites Work

• Unnamed Item
• On equivalence of two stability criteria for continuous-time switched systems with dwell time constraint
• State feedback controller design for singular positive Markovian jump systems with partly known transition rates
• Positivity and stability of positive singular Markovian jump time-delay systems with partially unknown transition rates
• Stability and \(L_1\)-gain controller design for positive switched systems with mixed time-varying delays
• On linear co-positive Lyapunov functions for sets of linear positive systems
• Singular control systems
• Stability analysis and \(\mathcal{L}_1\)-gain characterization for switched positive systems under dwell-time constraint
• Absolute exponential \(L_{1}\)-gain analysis and synthesis of switched nonlinear positive systems with time-varying delay
• Dynamic output-feedback control for continuous-time interval positive systems under \(L_{1}\) performance
• Analysis and design of AIMD congestion control algorithms in communication networks
• Fuzzy model-based nonfragile control of switched discrete-time systems
• Stability analysis of nonlinear switched systems with sampled-data controllers
• Robust finite-time stabilization for positive delayed semi-Markovian switching systems
• On exponential stability of linear singular positive delayed systems
• Finite-time stability of discrete switched singular positive systems
• Robust control and filtering of singular systems.
• A novel approach to \(L_1\)-induced controller synthesis for positive systems with interval uncertainties
• On ℓ_∞andL_∞gains for positive systems with bounded time-varying delays
• Robust stability and stabilization of uncertain linear positive systems via integral linear constraints:L₁-gain andL_∞-gain characterization
• Necessary and Sufficient Condition for Stability of Switched Uncertain Linear Systems Under Dwell-Time Constraint
• Discrete-time control for switched positive systems with application to mitigating viral escape
• Sign and stability of equilibria in quasi-monotone positive nonlinear systems
• On the mathematical foundations of compartmental analysis in biology, medicine, and ecology
• Equivalence of several stability conditions for switched linear systems with dwell time
• Stability Analysis and Delay Control for Switched Positive Linear Systems
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• Robust<tex>$H_infty$</tex>Filter Design of Uncertain Descriptor Systems with Discrete and Distributed Delays
• An improved characterization of bounded realness for singular delay systems and its applications
• Positive 1D and 2D systems

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