| 郭良栋,顾宏,何希勤.基于积分等式的中立系统时滞相关稳定性分析[J].,2010,(2):296-303 |
| 基于积分等式的中立系统时滞相关稳定性分析 |
| Delay-dependent robust stability analysis of neutral systems based on integral equalities |
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| DOI：10.7511/dllgxb201002025 |
| 中文关键词: 中立系统 线性矩阵不等式 积分等式 非线性参数扰动 |
| 英文关键词: neutral systems LMIs integral equality nonlinear parameter perturbations |
| 基金项目:国家自然科学基金资助项目60605022；国家公益性行业科研专项基金资助项目200908025. |
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| 中文摘要: |
| 讨论了具有区间时变时滞及非线性扰动中立系统的稳定性判据问题．基于 Lyapunov-Krasovskii 泛函方法和线性矩阵不等式技术，并结合新的积分等式处理交叉乘积项定界问题，得到了新的时滞相关渐近稳定判据．时滞相关渐近稳定判据用线性矩阵不等式的形式给出，与已有的方法相比，其优点在于更小的保守性．数值计算表明了结果的有效性和优越性． |
| 英文摘要: |
| The delay-dependent robust stability criteria for neutral systems with mixed time-varying interval delays and nonlinear parameter perturbations are discussed. Based on the Lyapunov-Krasovskii functional approach and linear matrix inequality technology, some improved delay-dependent stability conditions are proposed by utilizing new integral equalities to deal with the bounding for the cross term. The criteria are derived in terms of linear matrix inequalities (LMIs). Compared to the existing criteria, the merit of the proposed conditions is less conservative. Numerical examples are given to illustrate the improvement on the conservatism of the delay bound over some reported results in the literatures. |
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