Strong iISS is preserved under cascade interconnection

DOI10.1016/j.automatica.2014.07.025zbMath1297.93143OpenAlexW2105715067MaRDI QIDQ466497

J. Herrera, D. Rodríguez-Gómez

Publication date: 27 October 2014

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2014.07.025

zbMATH Keywords

stabilityrobustnessnonlinear systemsinput-to-state stabilitycascaded systemsfeedback interconnection

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25)

Related Items (12)

Strong iISS for a class of systems under saturated feedback ⋮ Generalized average dwell time approach to stability and input-to-state stability of hybrid impulsive stochastic differential systems ⋮ The ISS approach to the stability and robustness properties of nonautonomous systems with decomposable invariant sets: an overview ⋮ On robustness of finite-time stability of homogeneous affine nonlinear systems and cascade interconnections ⋮ Global robust stabilization of nonlinear cascaded systems with integral ISS dynamic uncertainties ⋮ The ISS framework for time-delay systems: a survey ⋮ Relaxed conditions for the stability of switched nonlinear triangular systems under arbitrary switching ⋮ Enhanced nonlinear damping for a class of singularly perturbed interconnected nonlinear systems ⋮ Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions ⋮ Interpreting models of infectious diseases in terms of integral input-to-state stability ⋮ Input-to-state stability for impulsive stochastic nonlinear systems with delayed impulses ⋮ Integral input-to-state stable time-delay systems in cascade

Cites Work

• Global almost disturbance decoupling with stability for non minimum-phase single-input single-output nonlinear systems
• A tight small-gain theorem for not necessarily ISS systems
• Integral input to state stable systems in cascade
• Comments on integral variants of ISS
• Passivity-based designs for synchronized path-following
• Combining iISS and ISS With Respect to Small Inputs: The Strong iISS Property
• A Unifying Integral ISS Framework for Stability of Nonlinear Cascades
• Separation Principles for Input-Output and Integral-Input-to-State Stability
• New characterizations of input-to-state stability
• Smooth stabilization implies coprime factorization
• Changing supply functions in input/state stable systems
• Necessary and Sufficient Small Gain Conditions for Integral Input-to-State Stable Systems: A Lyapunov Perspective
• A Lyapunov Approach to Cascade Interconnection of Integral Input-to-State Stable Systems
• State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
• Robust Stability of Networks of iISS Systems: Construction of Sum-Type Lyapunov Functions

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