Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism
A lagged adaptive adjustment mechanism has been developed to stabilize a high-order discrete system. Theoretical proofs and computer simulations have been provided to show the effectiveness and efficiency of this new mechanism in practice. The mechanism ensures that the adjusted system converges to...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1080/10260220290013525 |
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| _version_ | 1832564185598263296 |
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| author | Wiehong Huang |
| author_facet | Wiehong Huang |
| author_sort | Wiehong Huang |
| collection | DOAJ |
| description | A lagged adaptive adjustment mechanism has been developed to stabilize a high-order discrete system. Theoretical proofs and computer simulations have been provided to show the effectiveness and efficiency of this new mechanism in practice. The mechanism ensures that the adjusted system converges to its generic fixed points and achieves the convergence with a high speed. Besides, it requires neither a priori information about the system itself nor any external generated control signal. |
| format | Article |
| id | doaj-art-45903cd5311c4c18b134046ac50cf7fb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-45903cd5311c4c18b134046ac50cf7fb2025-02-03T01:11:31ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2002-01-0171596810.1080/10260220290013525Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanismWiehong Huang0Nanyang Business School, Nanyang Technological University, Nanyang Avenue, Singapore 659798, SingaporeA lagged adaptive adjustment mechanism has been developed to stabilize a high-order discrete system. Theoretical proofs and computer simulations have been provided to show the effectiveness and efficiency of this new mechanism in practice. The mechanism ensures that the adjusted system converges to its generic fixed points and achieves the convergence with a high speed. Besides, it requires neither a priori information about the system itself nor any external generated control signal.http://dx.doi.org/10.1080/10260220290013525Adaptive adjustment; Lagged adjustment; Chaos; Nonlinear dynamics; Stabilization; Controlling chaos. |
| spellingShingle | Wiehong Huang Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism Discrete Dynamics in Nature and Society Adaptive adjustment; Lagged adjustment; Chaos; Nonlinear dynamics; Stabilization; Controlling chaos. |
| title | Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism |
| title_full | Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism |
| title_fullStr | Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism |
| title_full_unstemmed | Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism |
| title_short | Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism |
| title_sort | stabilizing high order discrete dynamical systems by a lagged adaptive adjustment mechanism |
| topic | Adaptive adjustment; Lagged adjustment; Chaos; Nonlinear dynamics; Stabilization; Controlling chaos. |
| url | http://dx.doi.org/10.1080/10260220290013525 |
| work_keys_str_mv | AT wiehonghuang stabilizinghighorderdiscretedynamicalsystemsbyalaggedadaptiveadjustmentmechanism |