Global exponential stability and Input-to-State Stability of semilinear hyperbolic systems for the L2 norm

Exponential input-to-state stability of composite stochastic systems

Input/output-to-state stability and state-norm estimators for switched nonlinear systems

In this paper, the concepts of input/output-to-state stability (IOSS) and state-norm estimators are considered for switched nonlinear systems under average dwell-time switching signals. We show that when the average dwell-time is large enough, a switched system is IOSS if all of its constituent subsystems are IOSS. Moreover, under the same conditions, a non-switched state-norm estimator exists ...

Input-to-state stability of Lur'e systems

An input-to-state stability theory, which subsumes results of circle criterion type, is developed in the context of continuous-time Lur’e systems. The approach developed is inspired by the complexified Aizerman conjecture.

New Approach to Exponential Stability Analysis and Stabilization for Delayed T-S Fuzzy Markovian Jump Systems

This paper is concerned with delay-dependent exponential stability analysis and stabilization for continuous-time T-S fuzzy Markovian jump systems with mode-dependent time-varying delay. By constructing a novel Lyapunov-Krasovskii functional and utilizing some advanced techniques, less conservative conditions are presented to guarantee the closed-loop system is mean-square exponentially stable....

Quasi-exponential input-to-state stability for discrete-time impulsive hybrid systems

This paper investigates the problem of input-to-state stability (ISS) for the general discrete-time impulsive hybrid systems. Quasi-exponential input-to-state stability criteria are established for non-linear discrete-time impulsive hybrid systems, based on the Lyapunov function. The results are then specialized to the linear discrete-time impulsive hybrid systems and fairly simple algebraic co...