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Stability of Time-Variant Discrete-Time Systems: 5 (Advances in Control Systems and Signal Processing, 5) - Softcover
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1.Introduction and Summary.- 2.Mathematical Description of Discrete-Time Systems.- 3.Stability of Free Discrete-Time Systems.- 4.Stability of Forced Discrete-Time Systems.- 5.Relations between Internal and External Stability.- References.
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Stability of Time-variant Discrete-time Systems -Language: german
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Stability of Time-Variant Discrete-Time Systems
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Stability of Time-Variant Discrete-Time Systems
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Vieweg+Teubner, Vieweg+Teubner Verlag Jan 1985, 1985
ISBN 10: 3528089113
ISBN 13: 9783528089115
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this monograph some stability properties of linear, time-variant, discrete-time systems are summarized, where some properties are well known, some are little-known facts, and a few may be new. Models for this treatise an the asymp totical behaviour of solutions of difference equations are the commonly known excellent books of CESARI [3] and CONTI [5]. In the tables of Chapter 1 the definitions and the essen tial statements an stability of discrete-time systems are summarized, such that Chapter 2 to 5 may be regarded as explaining appendices for these tables. I am grateful to Paul Ludyk, who typed and corrected the manuscript with great skill and patience, and Alois Ludyk, who drew the figures with great artistic skill. Günter Ludyk Bremen, January 1985 Contents Notations 1 1. Introduction and Summary 4 2. Mathematical Description of Discrete-Time Systems 16 2. 1 State Equations 16 2. 2 Properties of the Transition Matrix 19 2. 3 LAGRANGE-Identity and GREEN's Formula for Difference Equations 20 2. 4 Estimations for the Norm of the Transition Matrix 21 3. Stability of Free Discrete-Time Systems 34 3. 1 LJAPUNOW- and LAGRANGE-Stability 34 3. 2 Short Time Boundedness 40 3. 3 UniformStability 45 3. 4 Asymptotic Stability 63 3. 5 ~P-stability 70 3. 6 Exponential and Uniform Asymptotic Stability 75 3. 7 Relations between the Stability Glasses 84 4. Stability of Forced Discrete-Time Systems 86 4. 1 Preliminary Results 86 4. 2 Input-State Stability 93 4. 148 pp. Deutsch. Seller Inventory # 9783528089115
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Stability of Time-variant Discrete-time Systems -Language: german
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Stability of Time-Variant Discrete-Time Systems
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1985
ISBN 10: 3528089113
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Stability of Time-Variant Discrete-Time Systems
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Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1985
ISBN 10: 3528089113
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Stability of Time-Variant Discrete-Time Systems
Published by
Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft mbH, 1985
ISBN 10: 3528089113
ISBN 13: 9783528089115
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Stability of Time-Variant Discrete-Time Systems
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1.Introduction and Summary.- 2.Mathematical Description of Discrete-Time Systems.- 3.Stability of Free Discrete-Time Systems.- 4.Stability of Forced Discrete-Time Systems.- 5.Relations between Internal and External Stability.- References.In this mon. Seller Inventory # 4867462
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Stability of Time-Variant Discrete-Time Systems
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Vieweg+Teubner Verlag, De Gruyter Saur Jan 1985, 1985
ISBN 10: 3528089113
ISBN 13: 9783528089115
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this monograph some stability properties of linear, time-variant, discrete-time systems are summarized, where some properties are well known, some are little-known facts, and a few may be new. Models for this treatise an the asymp totical behaviour of solutions of difference equations are the commonly known excellent books of CESARI [3] and CONTI [5]. In the tables of Chapter 1 the definitions and the essen tial statements an stability of discrete-time systems are summarized, such that Chapter 2 to 5 may be regarded as explaining appendices for these tables. I am grateful to Paul Ludyk, who typed and corrected the manuscript with great skill and patience, and Alois Ludyk, who drew the figures with great artistic skill. Günter Ludyk Bremen, January 1985 Contents Notations 1 1. Introduction and Summary 4 2. Mathematical Description of Discrete-Time Systems 16 2. 1 State Equations 16 2. 2 Properties of the Transition Matrix 19 2. 3 LAGRANGE-Identity and GREEN's Formula for Difference Equations 20 2. 4 Estimations for the Norm of the Transition Matrix 21 3. Stability of Free Discrete-Time Systems 34 3. 1 LJAPUNOW- and LAGRANGE-Stability 34 3. 2 Short Time Boundedness 40 3. 3 UniformStability 45 3. 4 Asymptotic Stability 63 3. 5 ~P-stability 70 3. 6 Exponential and Uniform Asymptotic Stability 75 3. 7 Relations between the Stability Glasses 84 4. Stability of Forced Discrete-Time Systems 86 4. 1 Preliminary Results 86 4. 2 Input-State Stability 93 4.Vieweg+Teubner Verlag, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 160 pp. Deutsch. Seller Inventory # 9783528089115
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Stability of Time-Variant Discrete-Time Systems
Published by
Vieweg+Teubner Verlag, De Gruyter Saur, 1985
ISBN 10: 3528089113
ISBN 13: 9783528089115
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Taschenbuch
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this monograph some stability properties of linear, time-variant, discrete-time systems are summarized, where some properties are well known, some are little-known facts, and a few may be new. Models for this treatise an the asymp totical behaviour of solutions of difference equations are the commonly known excellent books of CESARI [3] and CONTI [5]. In the tables of Chapter 1 the definitions and the essen tial statements an stability of discrete-time systems are summarized, such that Chapter 2 to 5 may be regarded as explaining appendices for these tables. I am grateful to Paul Ludyk, who typed and corrected the manuscript with great skill and patience, and Alois Ludyk, who drew the figures with great artistic skill. Günter Ludyk Bremen, January 1985 Contents Notations 1 1. Introduction and Summary 4 2. Mathematical Description of Discrete-Time Systems 16 2. 1 State Equations 16 2. 2 Properties of the Transition Matrix 19 2. 3 LAGRANGE-Identity and GREEN's Formula for Difference Equations 20 2. 4 Estimations for the Norm of the Transition Matrix 21 3. Stability of Free Discrete-Time Systems 34 3. 1 LJAPUNOW- and LAGRANGE-Stability 34 3. 2 Short Time Boundedness 40 3. 3 UniformStability 45 3. 4 Asymptotic Stability 63 3. 5 ~P-stability 70 3. 6 Exponential and Uniform Asymptotic Stability 75 3. 7 Relations between the Stability Glasses 84 4. Stability of Forced Discrete-Time Systems 86 4. 1 Preliminary Results 86 4. 2 Input-State Stability 93 4. Seller Inventory # 9783528089115