Improved robust stability criteria of uncertain neutral systems with mixed delays.
Impulse control in Kalman-like filtering problems.
Impulsive exponential stabilization of functional differential systems with infinite delay.
Impulsive functional-differential equations with nonlocal conditions.
Impulsive neutral functional differential inclusions with variable times.
Impulsive semilinear neutral functional differential inclusions with multivalued jumps
In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.
Impulsive stabilization of cellular neural networks with time delay via Lyapunov functionals.
Impulsive stabilization of high-order nonlinear retarded differential equations
In this paper, impulsive stabilization of high-order nonlinear retarded differential equations is investigated by using Lyapunov functions and some analysis methods. Our results show that several non-impulsive unstable systems can be stabilized by imposition of impulsive controls. Some recent results are extended and improved. An example is given to demonstrate the effectiveness of the proposed control and stabilization methods.
Indecision in Neural Decision Making Models
Computational models for human decision making are typically based on the properties of bistable dynamical systems where each attractor represents a different decision. A limitation of these models is that they do not readily account for the fragilities of human decision making, such as “choking under pressure”, indecisiveness and the role of past experiences on current decision making. Here we examine the dynamics of a model of two interacting neural populations with mutual time–delayed inhibition....
Induced trajectories and approximate inertial manifolds
Inequalities for solutions of systems with “pure” delay
Infinite boundary value problems for second-order nonlinear impulsive differential equations with supremum.
Infinite systems of hyperbolic differential-functional inequalities.
Influence of time delays on the Hahnfeldt et al. angiogenesis model dynamics
We study the influence of time delays on the dynamics of the general Hahnfeldt et al. model of an angiogenesis process. We analyse the dynamics of the system for different values of the parameter α which reflects the strength of stimulation of the vessel formation process. Time delays are introduced in three subprocesses: tumour growth, stimulation and inhibition of vessel formation (represented by endothelial cell dynamics). We focus on possible destabilisation of the positive steady state due...
Initial and Boundary Value Problems for Functional Differential Equations via the Topological Transversality Method: A Survey
Initial and boundary value problems for functional integro-differential equations.
Initial and boundary value problems for nonconvex valued multivalued functional differential equations.
Initial boundary value problems for second order impulsive functional differential inclusions.
Initial Value Problem for Mixed-Type Differential Equations.
Initial value problems for nonlinear nonresonant delay differential equations with possibly infinite delay.