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Ebook: Singularly Perturbed and Weakly Coupled Linear Control Systems: A Recursive Approach

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27.01.2024
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This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems. The recursive methods offer several advantages: high accuracy can easily be achieved at low cost, parallel processing can be used, results are obtained under mild assumptions, and software and hardware implementation of the control algorithms is highly simplified. The book emphasizes mathematical developments as well as their application to solving practical problems. A number of real world examples demonstrating the usefulness of the theory are included.




This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems. The recursive methods offer several advantages: high accuracy can easily be achieved at low cost, parallel processing can be used, results are obtained under mild assumptions, and software and hardware implementation of the control algorithms is highly simplified. The book emphasizes mathematical developments as well as their application to solving practical problems. A number of real world examples demonstrating the usefulness of the theory are included.


This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems. The recursive methods offer several advantages: high accuracy can easily be achieved at low cost, parallel processing can be used, results are obtained under mild assumptions, and software and hardware implementation of the control algorithms is highly simplified. The book emphasizes mathematical developments as well as their application to solving practical problems. A number of real world examples demonstrating the usefulness of the theory are included.
Content:
Front Matter....Pages -
Introduction....Pages 1-6
Algebraic lyapunov and riccati equations....Pages 7-34
Output feedback control of linear singularly perturbed and weakly coupled systems....Pages 35-62
Linear stochastic systems....Pages 63-97
Recursive approach to finite time singularly perturbed and weakly coupled linear control systems....Pages 98-124
Application to the differential games....Pages 125-143
Linear discrete weakly coupled control systems....Pages 144-162
Linear discrete singularly perturbed control systems....Pages 163-188
Back Matter....Pages -


This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems. The recursive methods offer several advantages: high accuracy can easily be achieved at low cost, parallel processing can be used, results are obtained under mild assumptions, and software and hardware implementation of the control algorithms is highly simplified. The book emphasizes mathematical developments as well as their application to solving practical problems. A number of real world examples demonstrating the usefulness of the theory are included.
Content:
Front Matter....Pages -
Introduction....Pages 1-6
Algebraic lyapunov and riccati equations....Pages 7-34
Output feedback control of linear singularly perturbed and weakly coupled systems....Pages 35-62
Linear stochastic systems....Pages 63-97
Recursive approach to finite time singularly perturbed and weakly coupled linear control systems....Pages 98-124
Application to the differential games....Pages 125-143
Linear discrete weakly coupled control systems....Pages 144-162
Linear discrete singularly perturbed control systems....Pages 163-188
Back Matter....Pages -
....
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