Exponential synchronization and stabilization of delayed feedback hyperchaotic financial system
Ruofeng Rao, Quanxin Zhu
Abstract
Abstract In a real financial market, the delayed market feedback and the delayed effect of government macrocontrol are inevitable, and both bring mathematical difficulties in studying stabilization and synchronization of the hyperchaotic financial system. However, employing the Lyapunov function method, differential mean value theorem, and suitable bounded hypotheses and pulse control technology result in globally asymptotic stabilization and synchronization criteria. It is the first paper driving the stabilization and synchronization criteria under the assumptions of double delays. Finally, numerical examples illustrate the effectiveness of the proposed methods.
Topics & Concepts
Synchronization (alternating current)Ordinary differential equationControl theory (sociology)Lyapunov functionBounded functionMathematicsExponential stabilityFinancial marketValue (mathematics)Partial differential equationExponential functionFunction (biology)Control (management)Differential equationComputer scienceEconomicsFinanceStatisticsNonlinear systemTopology (electrical circuits)BiologyCombinatoricsMathematical analysisQuantum mechanicsEvolutionary biologyPhysicsArtificial intelligenceChaos control and synchronizationNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern Formation