This paper presents sufficient condition for exponential stability with a given convergence rate and asymptotically stability of linear parameter dependent (LPD) delay system and gives sufficient condition for stabilizability of LPD delay control system. We use appropriate Lyapunov functions and derive stability condition in term of linear matrix inequality (LMI).

In this paper, the problem of stability criteria of neural networks (NNs) with two-additive time-varying delay compenents is investigated. The relationship between the time-varying delay and its lower and upper bounds is taken into account when estimating the upper bound of the derivative of Lyapunov functional. As a result, some improved delay stability criteria for NNs with two-additive time-...

The stability of discrete systems with time-varying delay is considered. New delaydependent stability criteria are devised, which are dependent on the minimum and maximum delay bounds. An initial analysis leads to a criterion depending on an inequality involving certain matrices that can be freely chosen. By carefully choosing them to reflect the appropriate relationship between states at diffe...

Relationships between system states contained in the neutral equation are used to address the delay-dependent stability of a neutral system with time-varying state delay. Using linear matrix inequalities, we present a new asymptotic stability criterion, and a new robust stability criterion, for neutral systems with mixed delays. Since the criteria take into account the sizes of the neutral dela...