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Stability and Control of Time-delay Systems 1998 ed. [Pehme köide]

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  • Formaat: Paperback / softback, 321 pages, kõrgus x laius: 235x155 mm, kaal: 540 g, 11 Illustrations, black and white; XX, 321 p. 11 illus., 1 Paperback / softback
  • Sari: Lecture Notes in Control and Information Sciences 228
  • Ilmumisaeg: 07-Oct-1997
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540761934
  • ISBN-13: 9783540761938
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Stability and Control of Time-delay Systems 1998 ed.Suurem pilt
  • Formaat: Paperback / softback, 321 pages, kõrgus x laius: 235x155 mm, kaal: 540 g, 11 Illustrations, black and white; XX, 321 p. 11 illus., 1 Paperback / softback
  • Sari: Lecture Notes in Control and Information Sciences 228
  • Ilmumisaeg: 07-Oct-1997
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540761934
  • ISBN-13: 9783540761938
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9783540761938.html
Märksõnad:
Although the last decade has witnessed significant advances in control theory for finite and infinite dimensional systems, the stability and control of time-delay systems have not been fully investigated. Many problems exist in this field that are still unresolved, and there is a tendency for the numerical methods available either to be too general or too specific to be applied accurately across a range of problems. This monograph brings together the latest trends and new results in this field, with the aim of presenting methods covering a large range of techniques. Particular emphasis is placed on methods that can be directly applied to specific problems. The resulting book is one that will be of value to both researchers and practitioners.

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Springer Book Archives
Chapter 1 Stability and Robust Stability of Time-Delay Systems: A Guided Tour
1(71)
1 Introduction
1(9)
1.1 Basic ideas
1(3)
1.2 Linear delay systems class
4(2)
1.3 Delay-independent versus delay-dependent stability
6(3)
1.4 Purpose of the chapter
9(1)
1.5 Outline
9(1)
2 Examples
10(2)
2.1 Chemical Industry
10(1)
2.2 Neural Networks
10(1)
2.3 Other examples
11(1)
3 Stability sets in parameter space
12(10)
3.1 On the continuity properties
13(1)
3.2 Definitions and related remarks
14(2)
3.3 Scalar single delay case
16(6)
4 Frequency Domain Approach
22(13)
4.1 Analytical and Graphical Tests
22(4)
4.2 Special criteria
26(9)
5 Time-Domain Approach
35(11)
5.1 Lyapunov's Second Method
35(8)
5.2 Comparison Principle
43(3)
6 Other Stability Results and Remarks
46(3)
6.1 Various interpretations of delay systems
46(2)
6.2 On the complexity of multiple delays stability problems
48(1)
6.3 Other stability problems
48(1)
7 Robust Stability
49(7)
7.1 Frequency-Domain Approach
50(1)
7.2 Time-Domain Approach
51(4)
7.3 Other Remarks
55(1)
8 The Examples Revisited
56(2)
8.1 Chemical Example
56(1)
8.2 Neural Network Example
57(1)
9 Concluding Remarks
58(1)
A Stability theory
59(13)
A.1 Basic definitions
59(1)
A.2 Lyapunov's second method
60(12)
Chapter 2 Convex directions for stable polynomials and quasipolynomials: A survey of recent results
72(20)
1 Introduction
72(2)
2 Convex Directions for Stable Polynomials
74(3)
2.1 Convex directions for Hurwitz polynomials: C(9) = C_
75(1)
2.2 Convex directions for Schur polynomials: C(9) = C(1)
76(1)
3 Convex Directions for Stable Quasipolynomials
77(3)
4 Root Loci of Stable Polynomials
80(8)
4.1 Root loci of Hurwitz stable polynomials
80(3)
4.2 Root loci of Schur stable polynomials
83(2)
4.3 Relative convex directions for S(n) (K, C_) and S(n)(K, C(1))
85(3)
5 Root Loci of Stable Quasipolynomials
88(4)
Chapter 3 Delay-Independent Stability of Linear Neutral Systems: A Riccati Equation Approach
92(9)
1 Introduction
92(1)
2 Main Results
93(3)
3 Singular Value Test for Delay-Independent Asymptotic Stability
96(1)
4 LMI Formulation
97(1)
5 Concluding Remarks
97(1)
A Stability Theory
97(1)
B Proof of Theorem 1
98(3)
Chapter 4 Robust Stability and Stabilization of Time-Delay Systems via Integral Quadratic Constraint Approach
101(16)
1 Introduction
101(1)
2 Preliminaries
102(4)
3 Stability Analysis
106(3)
4 Stabilization
109(4)
5 Examples
113(1)
6 Conclusion
114(3)
Chapter 5 Graphical Test for Robust Stability with Distributed Delayed Feedback
117(23)
1 Retarded Functional Differential Equations
119(2)
2 Riccati-type Equations as Sufficient Conditions
121(2)
3 Robust Stability and Frequency Domain Criteria
123(1)
4 Stabilization with Delayed Feedback
124(3)
4.1 Sufficient Condition
125(1)
4.2 Alternative Criterion and a Necessary Condition
126(1)
5 Single Input Case: Frequency Response Tests
127(5)
5.1 Frequency Sweep
127(2)
5.2 Criteria Based on Rouche's Theorem
129(3)
6 Examples
132(6)
7 Conclusions
138(2)
Chapter 6 Numerics of the Stability Exponent and Eigenvalue Abscissas of a Matrix Delay System
140(18)
1 Introduction
140(1)
2 The Matrix Function
141(3)
3 The Functional Equation
144(3)
4 The Eigenvalue Abscissas
147(2)
5 Computation
149(6)
6 Conclusion
155(3)
Chapter 7 Moving Averages for Periodic Delay Differential and Difference Equations
158(26)
1 Introduction
158(3)
1.1 A Brief History of Averaging
158(2)
1.2 Applications of Averaging Theory in Controls Engineering
160(1)
1.3 Motivation for the Averaging of Delay Systems
160(1)
2 Averaging of Continuous-Time Delay Systems
161(6)
3 Moving Averages of Discrete-Time Systems with Delays
167(6)
4 Applications of Averaging to Delay Systems in Controls Engineering
173(6)
4.1 Cart and Pendulum Control in the Presence of External Vibrations and Feedback Delays
173(1)
4.2 Adaptive Identification of Pipe Mixing
174(5)
5 Conclusion
179(5)
Chapter 8 On Rational Stabilizing Controllers for Interval Delay Systems
184(21)
1 Introduction
184(2)
2 Statement of the problem
186(1)
3 When does a rational stabilizing controller exist
187(2)
4 Stabilizing controllers for IOD systems
189(4)
5 Stabilizing controllers for finite interval delay systems
193(6)
6 Systems with interval coefficients
199(3)
7 Conclusion
202(3)
Chapter 9 Stabilization of Linear and Nonlinear Systems with Time Delay
205(13)
1 Introduction
205(2)
2 Fixed-Order Controller Synthesis for Systems with Time Delay
207(1)
3 Sufficient Conditions for Stabilization of Systems with Time Delay
207(2)
4 Fixed-Order Dynamic Compensation for Systems with Time Delay
209(3)
5 Full-State Feedback Control for Nonlinear Systems with Time Delay
212(1)
6 Illustrative Numerical Examples
213(1)
7 Conclusion
214(4)
Chapter 10 Nonlinear Delay Systems: Tools for a Quantitative Approach of Stabilization
218(23)
1 Introduction
218(2)
2 Notations
220(1)
3 Retarded-Type Systems: Stability Criteria Independent of Delay
221(6)
3.1 The Comparison Approach
222(1)
3.2 Comparison Principles
223(1)
3.3 A Systematic Construction of Comparison Systems
224(2)
3.4 Qualitative Criteria of Stability
226(1)
4 Retarded-Type Systems: Stability Criteria Dependent on the Delay
227(6)
4.1 Stability Criteria
228(2)
4.2 Stability Domains
230(3)
5 Generalization to Neutral Systems
233(4)
5.1 Additional Notations and Assumptions
233(1)
5.2 Main Results
234(3)
5.3 Examples
237(1)
6 Conclusion
237(1)
7 Appendix
238(3)
Chapter 11 Output Feedback Stabilization of Linear Time-Delay Systems
241(18)
1 Introduction
241(1)
2 Problem Formulation and Preliminaries
242(1)
3 Output Feedback Stabilization
243(7)
4 Robust Output Feedback Stabilization
250(6)
4.1 Polytopic Uncertain Case
251(2)
4.2 Norm-Bounded Uncertain Case
253(3)
5 An Example
256(1)
6 Conclusions
257(2)
Chapter 12 Robust Control of Systems with A Single Input Lag
259(24)
1 Introduction
259(1)
2 A Basic Abstract Model
260(8)
3 A One Block Problem
268(2)
4 Gap Optimization
270(2)
5 The Standard Problem
272(2)
6 Proof of Theorem 5
274(9)
Chapter 13 Robust Guaranteed Cost Control for Uncertain Linear Time-delay Systems
283(19)
1 Introduction
283(1)
2 Preliminaries and Definitions
284(1)
3 Robust Performance Analysis
285(5)
4 Robust Guaranteed Cost Control - Single State-delay Case
290(3)
5 Robust Guaranteed Cost Control - Mixed State and Input Delays
293(5)
6 Illustrative Examples
298(2)
7 Conclusion
300(2)
Chapter 14 Local Stabilization of Continuous-time Delay Systems with Bounded Input
302
1 Introduction
302(1)
2 Problem statement
303(1)
3 Closed-loop stability without saturations
304(4)
4 Closed-loop stability with saturations
308(5)
5 Numerical example
313(1)
5.1 Closed-loop stability without saturations
313(1)
5.2 Closed-loop stability with saturations
314(1)
6 Concluding remarks
314