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Linear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space
Advances in Difference Equations volume 2007, Article number: 026196 (2007)
A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of -periodic -mild solution for homogeneous linear impulsive periodic system with time-varying generating operators is reduced to the existence of fixed point for a suitable operator. Further the alternative results on -periodic -mild solution for nonhomogeneous linear impulsive periodic system with time-varying generating operators are established and the relationship between the boundness of solution and the existence of -periodic -mild solution is shown. The impulsive periodic motion controllers that are robust to parameter drift are designed for a given periodic motion. An example given for demonstration.
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Wang, J.R., Xiang, X. & Wei, W. Linear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space. Adv Differ Equ 2007, 026196 (2007). https://doi.org/10.1155/2007/26196
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Analysis
- Functional Equation