delay dependent stability

In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...

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Delay-dependent stability conditions for fundamental characteristic functions

Journal: :Archivum mathematicum 2023

This paper is devoted to the investigation on stability for two characteristic functions $f_1(z) = z^2+pe^{-z\tau }+q$ and $f_2(z) z^2+pz e^{-z\tau }+q$, where $p$ $q$ are real numbers $\tau >0$. The obtained theorems describe explicit dependence changing delay $. Our results applied some special cases of a linear differential system with in diagonal terms delay-dependent conditions obtained.

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Stability Analysis of Uncertain Discrete-time Systems with Time-varying State Delay: a Parameter-dependent Lyapunov Function Approach

2007

Huijun Gao Changhong Wang James Lam Tongwen Chen

This paper presents several new robust stability conditions for linear discrete-time systems with polytopic parameter uncertainties and time-varying delay in the state. These stability criteria, derived by defining parameter-dependent Lyapunov functions, are not only dependent on the maximum and minimum delay bounds, but also dependent on uncertain parameters in the sense that different Lyapuno...

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