Delay-dependent stabilization of a class of time-delay nonlinear systems: LMI approach
نویسندگان
چکیده
منابع مشابه
Finite 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 کاملDelay-Dependent Regional Stabilization of Nonlinear Quadratic Time-Delay Systems
This paper addresses the synthesis of delay-dependent local stabilizing controllers for, possibly open-loop unstable, nonlinear quadratic systems with a varying time-delay in the state. We develop methods for designing static nonlinear quadratic state feedback controllers that guarantee the local asymptotic stability of the closed-loop system zero equilibrium point in some polytopic region of t...
متن کاملStabilization of a Class of Stochastic Nonlinear Time-Delay Systems*
In this paper, the stabilization problem is considered for a class of nonlinear continuous stochastic systems with state delays. The purpose of this problem is to design a state feedback controller such that the closedloop system is exponentially stable (or exponentially ultimately bounded) in the mean square, for all admissible nonlinearities and time-delays. We first investigate the sufficien...
متن کاملDelay-dependent stability and stabilization of neutral time-delay systems
This paper is concerned with the problem of stability and stabilization of neutral time-delay systems. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. On the basis of the obtained stability condition, a stabilizing method is al...
متن کاملDelay-dependent H∞ Variable Structure Control of Uncertain Singular Time-delay Systems: An LMI Approach
A delay-dependent H∞ variable structure control is presented for uncertain singular time-delay systems. System with mismatched norm-bounded uncertainties and mismatched norm-bounded external disturbances are considered. In terms of linear matrix inequalities (LMIs), we give a delay-dependent sufficient condition for the existence of switching surfaces, on which sliding mode dynamics is regular,...
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: Advances in Difference Equations
سال: 2017
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1335-7