On uniform boundedness of parameterized discrete-time systems with decaying inputs: applications to cascades

DOI10.1016/S0167-6911(02)00319-5zbMath1157.93305OpenAlexW2087082041MaRDI QIDQ2503501

Antonio Loría, Dragan Nešić

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00319-5

zbMATH Keywords

StabilityDiscrete-timeTime-varyingCascaded systemsIntegral input-to-state stability

Mathematics Subject Classification ID

Popov-type stability of feedback systems (93D10) Decentralized systems (93A14)

Related Items (6)

Stabilization of discrete-time upper triangular nonlinear cascade systems using cross term constructed Lyapunov functional ⋮ On the stability and convergence of a class of consensus systems with a nonlinear input ⋮ Semiglobal practical integral input-to-state stability for a family of parameterized discrete-time interconnected systems with application to sampled-data control systems ⋮ On the global stabilization of Takagi-Sugeno fuzzy cascaded systems ⋮ On integral input-to-state stability for a feedback interconnection of parameterised discrete-time systems ⋮ Necessary and sufficient conditions for robust global asymptotic stabilization of discrete-time systems

Cites Work

• Unnamed Item
• Global stabilization of nonlinear cascade systems
• Nonlinear control systems: An introduction
• On global uniform asymptotic stability of nonlinear time-varying systems in cascade
• Comments on integral variants of ISS
• A positive real condition for global stabilization of nonlinear systems
• Formulas relating \(K{\mathcal L}\) stability estimates of discrete-time and sampled-data nonlinear systems
• Constructive nonlinear control
• The peaking phenomenon and the global stabilization of nonlinear systems
• A characterization of integral input-to-state stability
• A Unifying Integral ISS Framework for Stability of Nonlinear Cascades
• Power characterizations of input-to-state stability and integral input-to-state stability
• Smooth stabilization implies coprime factorization
• On Uniform Asymptotic Stability of Time-Varying Parameterized Discrete-Time Cascades
• A Framework for Stabilization of Nonlinear Sampled-Data Systems Based on Their Approximate Discrete-Time Models
• Adding integrations, saturated controls, and stabilization for feedforward systems
• Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems
• Input-to-state stability for discrete-time nonlinear systems
• Forward completeness, unboundedness observability, and their Lyapunov characterizations
• Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations
• Intrinsic robustness of global asymptotic stability

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