Input-to-State Stability of Differential Inclusions with Applications to Hysteretic and Quantized Feedback Systems

DOI10.1137/070711323zbMath1205.34015OpenAlexW2097057387MaRDI QIDQ3557956

Bayu Jayawardhana, E. P. Ryan, Hartmut Logemann

Publication date: 28 April 2010

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070711323

zbMATH Keywords

hysteresis differential inclusions absolute stability nonlinear systems quantization input-to-state stability circle criterion

Mathematics Subject Classification ID

Popov-type stability of feedback systems (93D10) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Hysteresis for ordinary differential equations (34C55)

Related Items (16)

Input-to-State Stability of Discrete-Time Lur'e Systems ⋮ Robust absolute stability criterion for uncertain Lur'e differential inclusion systems with time delay ⋮ A note on adaptive observer for the Lur'e differential inclusion system ⋮ Input-to-state stability of Lur'e systems ⋮ The circle criterion for a class of sector-bounded dynamic nonlinearities ⋮ Semi-global persistence and stability for a class of forced discrete-time population models ⋮ Small-gain stability theorems for positive Lur'e inclusions ⋮ Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties ⋮ Infinite-dimensional Lur'e systems with almost periodic forcing ⋮ Noncoercive Lyapunov Functions for Input-to-State Stability of Infinite-Dimensional Systems ⋮ Incremental input-to-state stability for Lur'e systems and asymptotic behaviour in the presence of Stepanov almost periodic forcing ⋮ The converging-input converging-state property for Lur'e systems ⋮ A circle criterion for strong integral input-to-state stability ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Semi-global incremental input-to-state stability of discrete-time Lur'e systems ⋮ Stability and convergence properties of forced infinite-dimensional discrete-time Lur'e systems

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