Stabilization of fractional switched linear systems via reset control technique.

This paper deals with the L gain stability problem of a class of uncertain fractional switched reset control systems. The stability of the underlying switched linear system with uncertainties and bounded exogenous disturbance is verified via the Lyapunov stability theorem and employing sufficient linear matrix inequalities (LMIs). In this work, the problem of switching between several stabilizing controllers is taken into account, which, all of them are capable of stabilizing the corresponding linear system.

On global exponential stability of positive neural networks with time-varying delay.

This paper presents a new result on the existence, uniqueness and global exponential stability of a positive equilibrium of positive neural networks in the presence of bounded time-varying delay. Based on some novel comparison techniques, a testable condition is derived to ensure that all the state trajectories of the system converge exponentially to a unique positive equilibrium. The effectiveness of the obtained results is illustrated by a numerical example.

On Global Dissipativity of Nonautonomous Neural Networks With Multiple Proportional Delays.

This brief addresses the problem of global dissipativity analysis of nonautonomous neural networks with multiple proportional delays. By using a novel constructive approach based on some comparison techniques for differential inequalities, new explicit delay-independent conditions are derived using M-matrix theory to ensure the existence of generalized exponential attracting sets and the global dissipativity of the system. The method presented in this brief is also utilized to derive a generalized exponential estimate for a class of Halanay-type inequalities with proportional delays.

Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays.

This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of the model without any restriction on uniform positiveness of the per capita dead rate. Numerical examples are provided to illustrate the effectiveness of the obtained results.