Stabilization by output feedback for systems with ISS inverse dynamics
Systems & Control Letters
Comments on integral variants of ISS
Systems & Control Letters
Further equivalences and semiglobal versions of integral input to state stability
Dynamics and Control
Impulsive Systems and Control: Theory and Applications
Impulsive Systems and Control: Theory and Applications
Stability of Time-Delay Systems
Stability of Time-Delay Systems
Brief paper: Input-to-state stability of switched systems and switching adaptive control
Automatica (Journal of IFAC)
Lyapunov conditions for input-to-state stability of impulsive systems
Automatica (Journal of IFAC)
Input-to-state stability for discrete-time nonlinear systems
Automatica (Journal of IFAC)
Input-to-state stability of networked control systems
Automatica (Journal of IFAC)
Brief paper: A unified synchronization criterion for impulsive dynamical networks
Automatica (Journal of IFAC)
Brief paper: Exponential stability of nonlinear time-delay systems with delayed impulse effects
Automatica (Journal of IFAC)
Input-to-state stability of impulsive and switching hybrid systems with time-delay
Automatica (Journal of IFAC)
Brief paper: Lyapunov criteria for stability in Lp norm of special neutral systems
Automatica (Journal of IFAC)
Integral input-to-state stability for hybrid delayed systems with unstable continuous dynamics
Automatica (Journal of IFAC)
Hi-index | 22.16 |
This paper is concerned with analyzing input-to-state stability (ISS) and integral-ISS (iISS) for nonlinear impulsive systems with delays. Razumikhin-type theorems are established which guarantee ISS/iISS for delayed impulsive systems with external input affecting both the continuous dynamics and the discrete dynamics. It is shown that when the delayed continuous dynamics are ISS/iISS but the discrete dynamics governing the impulses are not, the ISS/iISS property of the impulsive system can be retained if the length of the impulsive interval is large enough. Conversely, when the delayed continuous dynamics are not ISS/iISS but the discrete dynamics governing the impulses are, the impulsive system can achieve ISS/iISS if the sum of the length of the impulsive interval and the time delay is small enough. In particular, when one of the delayed continuous dynamics and the discrete dynamics are ISS/iISS and the others are stable for the zero input, the impulsive system can keep ISS/iISS no matter how often the impulses occur. Our proposed results are evaluated using two illustrative examples to show their effectiveness.