The problem of delay-dependent robust stability for uncertain linear singular neu-tral systems with time-varying and distributed delays is investigated.The uncertain-ties under consideration are norm bounded,and possi...The problem of delay-dependent robust stability for uncertain linear singular neu-tral systems with time-varying and distributed delays is investigated.The uncertain-ties under consideration are norm bounded,and possibly time varying.Some newstability criteria,which are simpler and less conservative than existing results,arederived based on a new class of Lyapunov-Krasovskii functionals combined with thedescriptor model transform ation and the decom position tech nique of coefficient matrixand formulated in the form of a linear matrix inequalitys(LMIs).Also,the criteriacan be easily checked by the Matlab LMI toolbox.展开更多
In this paper,the asymptotic stability of singular nonlinear differential systems with unbounded delays is considered.The stability criteria are derived based on a kind of Lyapunov-functional and some technique of mat...In this paper,the asymptotic stability of singular nonlinear differential systems with unbounded delays is considered.The stability criteria are derived based on a kind of Lyapunov-functional and some technique of matrix inequalities.The criteria are described as matrix equation and matrix inequalities,which are computationally flexible and efficient.Two examples are given to illustrate the results.展开更多
基金Supported by the National Natural Science Foundation of China(10771001)the Key Program of Ministry of Education of China(205068)the Foundation of Innovation Team of Anhui Univ
文摘The problem of delay-dependent robust stability for uncertain linear singular neu-tral systems with time-varying and distributed delays is investigated.The uncertain-ties under consideration are norm bounded,and possibly time varying.Some newstability criteria,which are simpler and less conservative than existing results,arederived based on a new class of Lyapunov-Krasovskii functionals combined with thedescriptor model transform ation and the decom position tech nique of coefficient matrixand formulated in the form of a linear matrix inequalitys(LMIs).Also,the criteriacan be easily checked by the Matlab LMI toolbox.
基金Supported by the National Natural Science Foundation of China(10771001)the Key Program of Ministry of Education of China(205068)
文摘In this paper,the asymptotic stability of singular nonlinear differential systems with unbounded delays is considered.The stability criteria are derived based on a kind of Lyapunov-functional and some technique of matrix inequalities.The criteria are described as matrix equation and matrix inequalities,which are computationally flexible and efficient.Two examples are given to illustrate the results.
