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Due to increasing use of open communication channels for electric power systems, delay and packet dropout are common phenomena which lead the system to the verge of instability. This paper explores the delay-dependent stability for single area power system load frequency control (LFC) models installed with optimal controller considering both time delay and packet dropout. The maximum delay bound is...
In this paper, the problem of absolute stability of Lurie singular system with time-delay has been investigated. The proposed technique involves partitioning the delay range into an integer number of segments. A novel Lyapunov-Krasovskii functional (LKF) is defined to develop the stability criterion in terms of linear matrix inequalities (LMIs). By employing Wirtinger inequality, a tighter bounding...
This paper addresses the problem of synchronization analysis of Takagi-Sugeno (T-S) fuzzy complex dynamical network in the presence of interval time-varying delay. A novel synchronization criteria is obtained in terms of linear matrix inequalities (LMIs) by defining a Lyapunov-Krasovskii functional (LKF). The delay-range is divided into two segments for stability analysis. A tighter bounding technique...
In this paper, the problem of stability analysis of continuous-time linear system with interval time-varying delay and nonlinear perturbations has been investigated. A tighter bounding technique for the integral term arising in the derivative of Lyapunov-Krasovskii functional (LKF) is developed. Further, the delay range is divided into two equal segments for stability analysis. Using the proposed...
In this paper, the problem of robust absolute stability of Lurie system with probabilistic time-varying delay and norm-bounded parametric uncertainty is considered. The time delay variation range is divided into two subintervals. By considering the probability distribution of the time-varying delay between the two subintervals and the knowledge of the delay variation range, a novel linear matrix inequalities...
In this paper, the problem of stability analysis of time-delayed port-Hamiltonian systems with probabilistic time-varying delay has been considered. The time-delay variation range is divided into two sub-intervals. By considering the probability distribution of the time-varying delay between the two sub-intervals and the knowledge of the delay variation range, a novel linear matrix inequality (LMI)...
In this paper, a new stability criteria for the asymptotic stability of a discrete time state-delayed uncertain system subjected to various combinations of quantization and overflow nonlinearities has been derived in terms of linear matrix inequalities (LMIs) by defining a Lyapunov-Krasovskii functional. The proposed approach involve solving significantly less number of decision variables as compared...
This paper addresses the problem of stability analysis of the 2-D discrete time system described by Fornasini-Marchesini second local state space model (FMLSS) with interval time-varying delay and subject to various combinations of quantization and overflow nonlinearities. Delay-dependent stability condition has been derived in terms of linear matrix inequalities (LMIs) by defining a Lyapunov functional...
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