Strong ISS implies strong iISS for time-varying impulsive systems
From MaRDI portal
Publication:2208547
DOI10.1016/j.automatica.2020.109224zbMath1451.93330arXiv1909.00858OpenAlexW3080621715MaRDI QIDQ2208547
Hernan Haimovich, José Luis Mancilla-Aguilar
Publication date: 3 November 2020
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.00858
Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Impulsive control/observation systems (93C27)
Related Items
Stability of Time-Delay Systems with Delayed Impulses: Average Impulsive Estimation Approach ⋮ ISS and integral-ISS of switched systems with nonlinear supply functions ⋮ Characterization of Integral Input-to-State Stability for Nonlinear Time-Varying Systems of Infinite Dimension ⋮ Improved multiple Lyapunov functions of input-output-to-state stability for nonlinear switched systems ⋮ Nonrobustness of asymptotic stability of impulsive systems with inputs ⋮ Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency ⋮ Impulsive systems with hybrid delayed impulses: input-to-state stability ⋮ A brief survey on stability and stabilization of impulsive systems with delayed impulses ⋮ Sliding mode control with integral sliding surface for linear uncertain impulsive systems with time delays
Cites Work
- Unnamed Item
- Unnamed Item
- Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods
- Gronwall inequality for hybrid systems
- Effect of delayed impulses on input-to-state stability of nonlinear systems
- Input-to-state stability of impulsive and switching hybrid systems with time-delay
- Characterizations of input-to-state stability for hybrid systems
- Comments on integral variants of ISS
- Further equivalences and semiglobal versions of integral input to state stability
- Input/output-to-state stability of impulsive switched systems
- A unified Razumikhin-type criterion on input-to-state stability of time-varying impulsive delayed systems
- A characterization of integral input-to-state stability for hybrid systems
- Input-to-state stability of impulsive systems and their networks
- Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems
- ISS implies iISS even for switched and time-varying systems (if you are careful enough)
- Recent progress in impulsive control systems
- Input-to-state stability of nonlinear impulsive systems via Lyapunov method involving indefinite derivative
- Indefinite Lyapunov functions for input-to-state stability of impulsive systems
- Input-to-state stability of infinite-dimensional control systems
- Lyapunov conditions for input-to-state stability of impulsive systems
- Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays
- Input-to-state-\( \mathcal{K} \mathcal{L} \)-stability and criteria for a class of hybrid dynamical systems
- Robust exponential input-to-state stability of impulsive systems with an application in micro-grids
- Input-to-State Stability of Nonlinear Impulsive Systems
- Lyapunov-Based Small-Gain Theorems for Hybrid Systems
- A Characterization of Integral ISS for Switched and Time-Varying Systems
- Smooth stabilization implies coprime factorization
- Input-to-state stability for discrete-time nonlinear systems
- On converse Lyapunov theorems for ISS and iISS switched nonlinear systems
- Intrinsic robustness of global asymptotic stability
