Stability of time-delay system with time-varying uncertainties via homogeneous polynomial Lyapunov-Krasovskii functions
نویسندگان
چکیده
منابع مشابه
Homogeneous Polynomial Lyapunov Functions for Robust Local Synchronization with Time-varying Uncertainties
This paper studies robust local synchronization in multi-agent systems with time-varying parametric uncertainties constrained in a polytope. In contrast to existing methods with non-convex conditions via using quadratic Lyapunov function (QLF), a new criteria is proposed based on using homogeneous polynomial Lyapunov functions (HPLFs) where the original system is suitably approximated by an unc...
متن کاملStability and stabilization for discrete-time systems with time-varying delays via augmented Lyapunov–Krasovskii functional
This paper is concerned with the stability and stabilization problems for discrete-time systems with interval time-varying delays. By construction of an augmented Lyapunov–Krasovskii functional and utilization of zero equalities, improved delay-dependent criteria for asymptotic stability of the systems are derived in terms of linear matrix inequalities (LMIs). Based on the proposed stability cr...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
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...
متن کاملAsymptotic Stability of Time Varying Delay-difference Control System with Time-varying Delay of Hopfield Neural Networks via Matrix Inequalities*
Mathematics Subject Classification 2000: 39A11, 93B52, 92B20 General Terms: Asymptotic Stability, Lyapunov Second Method, Hopfield Neural Networks Additional
متن کاملLyapunov-Krasovskii functionals for scalar neutral type time delay equations
In this paper a procedure for construction of complete type Lyapunov–Krasovskii functionals for a scalar neutral type time delay equation is considered. The construction of the functionals depends on the so-called Lyapunov functions which satisfy a delay equation with additional boundary conditions. It is shown that these functionals admit lower and upper quadratic bounds. Exponential estimates...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Automation and Computing
سال: 2015
ISSN: 1476-8186,1751-8520
DOI: 10.1007/s11633-015-0940-8