On integral input-to-state stability for a feedback interconnection of parameterised discrete-time systems
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Publication:2798487
DOI10.1080/00207721.2014.942242zbMath1333.93215OpenAlexW1982243415MaRDI QIDQ2798487
Hamid Reza Karimi, Navid Noroozi, Alireza Khayatian, Saeed Ahmadizadeh
Publication date: 12 April 2016
Published in: International Journal of Systems Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207721.2014.942242
input-to-state stabilityintegral input-to-state stabilitysmall-gain conditionsparameterized discrete-time systems0-global asymptotic stability
Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Asymptotic stability in control theory (93D20)
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Cites Work
- A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals
- Comments on integral variants of ISS
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- On uniform boundedness of parameterized discrete-time systems with decaying inputs: applications to cascades
- An ISS small gain theorem for general networks
- Input-to-State Stability of Nonlinear Impulsive Systems
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- A characterization of integral input-to-state stability
- Changing supply functions in input to state stable systems: the discrete-time case
- Changing supply functions in input/state stable systems
- Necessary and Sufficient Small Gain Conditions for Integral Input-to-State Stable Systems: A Lyapunov Perspective
- Discrete-time Lyapunov-based small-gain theorem for parameterized interconnected ISS systems
- On Uniform Asymptotic Stability of Time-Varying Parameterized Discrete-Time Cascades
- 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
- A Lyapunov–Razumikhin approach for stability analysis of logistics networks with time-delays
- Input-to-state stability for discrete-time nonlinear systems
- Intrinsic robustness of global asymptotic stability
