Exponential stability and stabilization of linear systems with time varying delays

Delay Dependent Robust Exponential Stability Criterion for Perturbed and Uncertain Neutral Systems with Time Varying Delays

“…For given scalars 0   and 0 h  , the time delay system described by (30) is robustly exponentially stable with a decay rate  if there exist positive definite symmetric n n  matrices P , 1 w , 3 w …”

“…V are defined in equation (14), and in order to remove the term ( ( )) x t h t   , the matrices 2 Q and 3 Q are set to be zero. The proof is completed.…”

“…In recent years, stability issue in various neutral time delay systems have been widely investigated in many reports [8,11,13,14,16,26]. Moreover, the stability for the systems with time varying delays will be an important focus that described systems more physical than the constant time delays cases [1,3,4,6,8,14,19,20,27]. It is well known that in practice, systems almost present some uncertainties and nonlinear perturbations.…”

Robust Stabilization for Uncertain Takagi-Sugeno Fuzzy Continuous Model with Time-Delay Based on Razumikhin Theorem

“…Recently, Takagi-Sugeno fuzzy model approach has been used to examine nonlinear systems with time-delay, and different methodologies have been proposed for analysis and synthesis of this type of systems [1]- [11], [12]- [13]. Time delay often occurs in many dynamical systems such as biological systems, chemical system, metallurgical processing system and network system.…”

Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays

“…Recently, the exponential stability and stabilization problems for time-delay systems have been studied by many researchers, see for examples [4,7,[15][16][17][18][19][20]. The problems have been dealt with for various control areas such as exponential stabilization for linear time-delay systems [15], exponential stabilization for uncertain time-delay systems [16,19], exponential stabilization for linear uncertain polytopic time-delay systems [17,18].…”