This paper presents a new Lyapunov method for the input-to-state stability (ISS) and integral ISS (iISS) of impulsive systems. The approach is proposed on ...
This paper presents a new Lyapunov method for the input-to-state stability (ISS) and integral ISS (iISS) of impulsive systems. The approach is proposed on ...
This paper presents a new Lyapunov method for the input-to-state stability (ISS) of impulsive time-delay systems. The approach is proposed on the basis of ...
This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS for impulsive systems, i.e., dynamical systems that evolve ...
Missing: Indefinite | Show results with:Indefinite
... This theorem generalizes and strengthens existing results for nonimpulsive time-invariant and time-varying systems in [27]- [29]. Theorem 4.2 and its ...
Indefinite Lyapunov functions for input-to-state stability of impulsive systems ... state stability of nonlinear systems based on an indefinite Lyapunov function.
Abstract—This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS to systems with impulsive effects.
Abstract The goal of this paper is to study properties of input-to-state sta- bility (ISS) and integral input-to-state stability (iISS) of impulsive systems.
This paper is devoted to two issues. The first one is to provide Lyapunov-based tools to establish integral input-to-state stability (iISS) and input-to-state ...
People also ask
What is the suitable Lyapunov function for the system?
Hamilton energy function is the most suitable Lyapunov function for dynamical control. Control of energy flow is the most effective way to synchronization control of chaotic systems.
What is the Lyapunov function used for?
Originally Lyapunov introduced Lyapunov functions to test the stability of dynamical systems. However, Lyapunov functions have lead to one of the most important tools in the design and analysis of control systems, the Lyapunov equations.
What are the advantages of Lyapunov function?
Advantage: Lyapunov functions can be used to identify whether a system is stable or unstable. This method has the advantage of not requiring us to know the actual solution x(t). Furthermore, this method can be used to investigate the stability of equilibrium points in non-rough systems.
This paper investigates the input-to-state stability (ISS) and integral-input-to-state stability (iISS) of nonlinear impulsive systems. By using Lyapunov ...