On input-to-state practical \(h\)-stability for nonlinear time-varying systems
DOI10.1007/s00009-022-02179-zzbMath1497.34081OpenAlexW4306293840MaRDI QIDQ2094539
Nizar Hadj Taieb, Hanen Damak, Mohamed Ali Hammami
Publication date: 28 October 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02179-z
nonlinear systemsLyapunov theoryinput-to-state practical \(h\)-stability (\(h\)-ISpS)integral input-to-state practical \(h\)-stability (\(h\)-iISpS)
Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Perturbations of ordinary differential equations (34D10) Global stability of solutions to ordinary differential equations (34D23)
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Cites Work
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- Input to state stability and allied system properties
- Indefinite derivative Lyapunov-krasovskii functional method for input to state stability of nonlinear systems with time-delay
- A new Lyapunov function for stability of time-varying nonlinear perturbed systems
- Local ISS of large-scale interconnections and estimates for stability regions
- Asymptotic integration of a system resulting from the perturbation of an h-system
- Comments on integral variants of ISS
- Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties
- Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation
- Small-gain theorem for ISS systems and applications
- A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
- Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function
- A converse theorem on practical \(h\)-stability of nonlinear systems
- Sufficient conditions for uniform exponential stability and \(h\)-stability of some classes of dynamic equations on arbitrary time scales
- An ISS small gain theorem for general networks
- Small Gain Theorems for Large Scale Systems and Construction of ISS Lyapunov Functions
- PERTURBATIONS OF ASYMPTOTICALLY STABLE DIFFERENTIAL SYSTEMS
- Stability of nonlinear differential systems*
- A characterization of integral input-to-state stability
- Criteria for Input-to-State Practical Stability
- A nonlinear small gain theorem for the analysis of control systems with saturation
- Smooth stabilization implies coprime factorization
- Changing supply functions in input/state stable systems
- Local l/sub p/-stability and local small gain theorem for discrete-time systems
- On the practical output h-stabilization of nonlinear uncertain systems
- Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems
- A Lyapunov-Based Small-Gain Theorem for Infinite Networks
- Indefinite derivative for stability of time-varying nonlinear systems
- Stability analysis for time-varying nonlinear systems
- A practical separation principle for nonlinear non-autonomous systems
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