2 Mathematical Background

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混合系统理论——确定系统和随机系统 Theory of Hybrid Systems: Deterministic and Stochastic 作者：Mohamad S. Alwan, Xinzhi Liu　　 ISBN：978-7-04-050615-0　出版时间：2018-12-20

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前辅文

1 Motivating Examples

2 Mathematical Background

3 Fundamental Properties of Stochastic Impulsive Systems with Time Delay

4 Stability of Stochastic Impulsive Systems with Time Delay

5 Large-Scale Stochastic Impulsive Systems with Time Delay

6 Input-to-State Stability for Stochastic Switched Systems

7 Reliable Control for Stochastic Switched Systems with State Delay

8 Robust Reliable Control for Impulsive Large-Scale Systems

9 Switched Singularly Perturbed Systems with Time Delay

10 Singularly Perturbed Impulsive-Switched Systems with Time Delay

11 Stabilization and State Estimation via Sliding Mode Control

12 Comparison Method and Stability of EPCA

13 Existence, Uniqueness and Stability of Stochastic EPCA
- 2.1 Basic Definitions
- 2.2 Comparison Method
- 2.3 Delay Systems
- 2.4 Impulsive Systems
- 2.5 Comparison Method for Impulsive Systems
- 2.6 Impulsive Systems with Time Delay
- 2.7 Stochastic Differential Equations
- 2.7.1 Notations and Basic Definitions
- 2.7.2 Stochastic Processes
- 2.7.3 Stochastic Differential Equations
- 2.7.4 Comparison Method for Stochastic Systems
- 2.8 Stochastic Impulsive System with Time Delay
- 2.9 Switched Systems
- 2.9.1 System Formulation
- 2.9.2 Systems with Stable Subsystems
- 2.10 Stochastic Switched Systems with Time Delay
- 2.11 Singularly Perturbed Systems
- 2.12 Miscellaneous Results
- 2.13 Notes and Comments
- References

2 Mathematical Background

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