Conditions for convergence of the fundamental matrix of linear time-invariant time-delayed singular systems.
Consensus seeking in multi-agent systems with an active leader and communication delays
In this paper, we consider a multi-agent consensus problem with an active leader and variable interconnection topology. The dynamics of the active leader is given in a general form of linear system. The switching interconnection topology with communication delay among the agents is taken into consideration. A neighbor-based estimator is designed for each agent to obtain the unmeasurable state variables of the dynamic leader, and then a distributed feedback control law is developed to achieve consensus....
Control of a class of chaotic systems by a stochastic delay method
A delay stochastic method is introduced to control a certain class of chaotic systems. With the Lyapunov method, a suitable kind of controllers with multiplicative noise is designed to stabilize the chaotic state to the equilibrium point. The method is simple and can be put into practice. Numerical simulations are provided to illustrate the effectiveness of the proposed controllable conditions.
Control of distributed delay systems with uncertainties: a generalized Popov theory approach
The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for -attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of memoryless control problems in terms of Popov triplets...
Controllability of semilinear stochastic integrodifferential systems
In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique.
Controllability of semilinearstochastic delay evolution equations in Hilbert spaces.
Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces
In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
Controllability results for first and second order evolution inclusions with nonlocal conditions
We prove controllability results for first and second order semilinear differential inclusions in Banach spaces with nonlocal conditions.
Controllability results for semilinear functional and neutral functional evolution equations with infinite delay.