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Optimal Control Theory for Infinite Dimensional Systems (Systems & Control: Foundations & Applications) - Hardcover
Synopsis
Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.
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From the Back Cover
Infinite dimensional systems can be used to describe many physical phenomena in the real world. Well-known examples are heat conduction, vibration of elastic material, diffusion-reaction processes, population systems, and many others.
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date1994
- ISBN 10 0817637222
- ISBN 13 9780817637224
- BindingHardcover
- LanguageEnglish
- Number of pages462
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Optimal Control Theory for Infinite Dimensional Systems (Systems & Control: Foundations & Applications).
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Optimal Control Theory for Infinite Dimensional Systems
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Birkhäuser Boston Dez 1994, 1994
ISBN 10: 0817637222
ISBN 13: 9780817637224
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book. 468 pp. Englisch. Seller Inventory # 9780817637224
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Optimal Control Theory for Infinite Dimensional Systems
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book. Seller Inventory # 9780817637224
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Optimal Control Theory for Infinite Dimensional Systems (Systems & Control: Foundations & Applications)
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Optimal Control Theory for Infinite Dimensional Systems
Published by
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ISBN 13: 9780817637224
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Infinite dimensional systems can be used to describe many phenomena in the real world. As is well known, heat conduction, properties of elastic plastic material, fluid dynamics, diffusion-reaction processes, etc., all lie within this area. The object that we are studying (temperature, displace ment, concentration, velocity, etc.) is usually referred to as the state. We are interested in the case where the state satisfies proper differential equa tions that are derived from certain physical laws, such as Newton's law, Fourier's law etc. The space in which the state exists is called the state space, and the equation that the state satisfies is called the state equation. By an infinite dimensional system we mean one whose corresponding state space is infinite dimensional. In particular, we are interested in the case where the state equation is one of the following types: partial differential equation, functional differential equation, integro-differential equation, or abstract evolution equation. The case in which the state equation is being a stochastic differential equation is also an infinite dimensional problem, but we will not discuss such a case in this book.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 468 pp. Englisch. Seller Inventory # 9780817637224
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