Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming

DOI10.1016/j.automatica.2005.07.005zbMath1100.93043OpenAlexW2009340385MaRDI QIDQ2576152

Peter M. Dower, Matthew R. James, Shoudong Huang, Dragan Nešić

Publication date: 8 December 2005

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10453/4040

zbMATH Keywords

Dynamic programmingNonlinear systemsStability analysisInput-to-state stabilityDisturbances

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Dynamic programming (90C39)

Related Items (8)

Local input-to-state stabilization and ℓ _∞ -induced norm control of discrete-time quadratic systems ⋮ A new realizability condition for fixed-point state-space interfered digital filters using any combination of overflow and quantization nonlinearities ⋮ An invariance kernel representation of ISDS Lyapunov functions ⋮ Fault coverage modeling in nonlinear dynamical systems ⋮ Systematic ultimate bound computation for sampled-data systems with quantization ⋮ Performance bounds for nonlinear systems with a nonlinear ℒ₂-gain property ⋮ Stability analysis for a class of nonlinear discrete-time control systems subject to disturbances and to actuator saturation ⋮ A systematic method to obtain ultimate bounds for perturbed systems

Cites Work

• On characterizations of the input-to-state stability property
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• A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
• The ISS philosophy as a unifying framework for stability-like behavior
• A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
• Worst case analysis of nonlinear systems
• Lyapunov Characterizations of Input to Output Stability
• Extending H^∞ Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives
• A nonlinear small gain theorem for the analysis of control systems with saturation
• New characterizations of input-to-state stability
• Smooth stabilization implies coprime factorization
• l/sup ∞/ -bounded robustness for nonlinear systems: analysis and synthesis
• A Lyapunov approach to incremental stability properties
• Input-to-state stability for discrete-time nonlinear systems

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