
Stochastic Stability and Control
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Content
- Front Cover
- Stochastic Stability and Control
- Copyright Page
- Contents
- Preface
- Chapter I. Introduction
- 1. Markov Processes
- 2. Strong Markov Processes
- 3. Stopped Processes
- 4. Itô Processes
- 5. Poisson Differential Equations
- 6. Strong Diffusion Processes
- 7. Martingales
- Chapter II. Stochastic Stability
- 1. Introduction
- 2. Theorems. Continuous Parameter
- 3. Examples
- 4. Discrete Parameter Stability
- 5. On the Construction of Stochastic Liapunov Functions
- Chapter Ill. Finite Time Stability and First Exit Times
- 1. Introduction
- 2. Theorems
- 3. Examples
- Chapter IV. Optimal Stochastic Control
- 1. Introduction
- 2. Theorems
- 3. Examples
- 4. A Discrete Parameter Theorem
- Capter V. The Design of Controls
- 1. Introduction
- 2. The Calculation of Controls Which Assure a Given Stability Property
- 3. Design of Controls to Decrease the Cost
- The Liapunov function approach to design
- References
- Author Index
- Subject Index
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