Chaos and control of game model based on heterogeneous expectations in electric power triopoly.
Chaos control and hybrid projective synchronization of a novel chaotic system.
Chaos control of a fractional-order financial system.
Chaotic behavior and modified function projective synchronization of a simple system with one stable equilibrium
By introducing a feedback control to a proposed Sprott E system, an extremely complex chaotic attractor with only one stable equilibrium is derived. The system evolves into periodic and chaotic behaviors by detailed numerical as well as theoretical analysis. Analysis results show that chaos also can be generated via a period-doubling bifurcation when the system has one and only one stable equilibrium. Based on Lyapunov stability theory, the adaptive control law and the parameter update law are derived...
Complementary matrices in the inclusion principle for dynamic controllers
A generalized structure of complementary matrices involved in the input-state- output Inclusion Principle for linear time-invariant systems (LTI) including contractibility conditions for static state feedback controllers is well known. In this paper, it is shown how to further extend this structure in a systematic way when considering contractibility of dynamic controllers. Necessary and sufficient conditions for contractibility are proved in terms of both unstructured and block structured complementary...
Condition nécessaire d'optimalité pour un système régi par des équations aux dérivés partielles non linéaires de type parabolique
Continuous-time periodic systems in and . Part I: Theoretical aspects
The paper is divided in two parts. In the first part a deep investigation is made on some system theoretical aspects of periodic systems and control, including the notions of and norms, the parametrization of stabilizing controllers, and the existence of periodic solutions to Riccati differential equations and/or inequalities. All these aspects are useful in the second part, where some parametrization and control problems in and are introduced and solved.
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 oscillating systems with a single delay.
Control of Traveling Solutions in a Loop-Reactor
We consider the stabilization of a rotating temperature pulse traveling in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is updated at every step on-line using the discrepancy between the temperature at the front...
Control techniques for chaotic dynamical systems
Controllability and observability of time-invariant linear dynamic systems
In the paper, we unify and extend some basic properties for linear control systems as they appear in the continuous and discrete cases. In particular, we examine controllability, reachability, and observability for time-invariant systems and establish a duality principle.
Controlling chaos in nuclear spin generator system using backstepping design.
Controllo a struttura variabile per equazioni di evoluzione in spazi di Banach
Correctness of a constrained control Mayer's problem for a class of singularly perturbed functional-differential systems