14 research outputs found
Absolute stability of time-varying delay Lurie indirect control systems with unbounded coefficients
This paper investigates the absolute stability problem of time-varying delay Lurie indirect control systems with variable coefficients. A positive-definite Lyapunov-Krasovskii functional is constructed. Some novel sufficient conditions for absolute stability of Lurie systems with single nonlinearity are obtained by estimating the negative upper bound on its total time derivative. Furthermore, the results are generalised to multiple nonlinearities. The derived criteria are especially suitable for time-varying delay Lurie indirect control systems with unbounded coefficients. The effectiveness of the proposed results is illustrated using simulation examples
Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations
A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
On extended dissipativity analysis for neural networks with time-varying delay and general activation functions
Stabilization of neutral-type indirect control systems to absolute stability state
This paper provides sufficient conditions for absolute stability of an indirect control Lur’e problem of neutral type. The conditions are derived using a Lyapunov-Krasovskii functional and are given in terms of a system of matrix algebraic inequalities. From these matrix inequalities a sufficient condition for linear state feedback stabilizability follows.Water ManagementCivil Engineering and Geoscience