Gain Scheduling Synchronization Method for Quadratic Chaotic Systems
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Bibliographic record
Abstract
A global gain scheduling synchronization method is developed in this paper for the identical synchronization of quadratic chaotic systems. The quadratic chaotic system contains nonlinearity of quadratic terms of system's states. With chaotic states being bounded in certain regions, the quadratic chaotic system can be rewritten into the linear parameter varying (LPV) form through algebraic transformations. Then, using the gain scheduling technique, two different synchronization structures are proposed to achieve the global synchronization for the quadratic chaotic system. The convergence of the synchronization errors is guaranteed under the second Lyapunov stability theory. Generalized Lorenz systems, such as the Chen system and the Lorenz system, are illustrated as examples to demonstrate the efficiency of the proposed methods.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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