Differential equations, dynamical systems, and control science: a festschrift in honor of Lawrence Markus
Saved in:
| Format: | Book |
|---|---|
| Language: | Undetermined |
| Published: |
New York [u.a.]
Dekker
1994
|
| Edition: | 1. print. |
| Series: | Lecture notes in pure and applied mathematics
152 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XL, 946 S. |
| ISBN: | 0824789040 |
Staff View
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| 245 | 1 | 0 | |a Differential equations, dynamical systems, and control science |b a festschrift in honor of Lawrence Markus |
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| 264 | 1 | |a New York [u.a.] |b Dekker |c 1994 | |
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Record in the Search Index
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| adam_text | Contents
Preface W. Norrie Everitt v
Acknowledgments xii
Contributors xix
A Brief History of Control Lawrence Markus xxv
PART I: DIFFERENTIAL EQUATIONS
1. De Motu Arietum (On the Motion of Battering Rams) 1
Rutherford Aris and Bernard S. Bachrach
2. A Note on Continuation Algorithms for Periodic Orbits 15
Pavol Brunovsky and Milan Kubala
3. Uniformly Isochronous Centers of Polynomial Systems in R2 21
Roberto Conti
4. Some Remarks on the Titchmarsh Weyl m Coefficient and 33
Associated Differential Operators
W. Norrie Everitt
5. Periodic Solutions of Single Species Models with Delay 55
H. 1. Freedman and Huaxing Xia
6. Asymptotic Estimates for a Nonstandard Second Order 75
Differential Equation
William A. Harris, Jr., Patrizia Pucci, and James Serrin
1. Asymptotic Phase, Shadowing and Reaction Diffusion Systems 87
Morris W. Hirsch
8. Numerical Methods for Studying Parameter Dependence of Solutions 101
to Schrodinger s Equation
M. Holthaus, C. S. Kenney, and A. J. Laub
9. Differential Systems and Algebras 115
Michael K. Kinyon and Arthur A. Sagle
xiii
xiv Contents
10. Limit Cycles and Centres: An Example 143
N. G. Lloyd and J. M. Pearson
11. Stability Criteria with a Symmetric Operator Occurring in 159
Linear and Nonlinear Delay Differential Equations
James Louisell
12. Approximating Piston Driven Flow of a Non Newtonian Fluid 173
David S. Malleus, John A. Nohel, and Bradley J. Plohr
13. A Necessary and Sufficient Condition for Exponential Stability 193
of Large Scale Stochastic Delay Systems in Hierarchical Form
Xuerong Mao
14. The Averaging Method and the Problem on Separation of Variables 213
Yu. A. Mitropolsky
15. Construction of Lyapunov Functions Using Integration by Parts 225
Patrick C. Parks
16. Remarks on Williams Problem 235
W. Parry
17. Approximations of the Long Time Dynamics of the Navier Stokes 247
Equations
Victor A. Pliss and George R. Sell
18. About the Solution of Some Inverse Problems in Differential 277
Galois Theory by Hamburger Equations
J. P. Ramis
19. A Remark on Bessel Functions 301
Yasutaka Sibuya
20. The Broadwell System, Self Similar Ordinary Differential Equations, 307
and Fluid Dynamical Limits
Marshall Slemrod and Athanasios E. Tzavaras
21. The Statistical Mechanics of Asset Prices 321
Michael Stutzer
22. The Winding Problem for Stochastic Oscillators 343
Ananda P. N. Weerasinghe
23. On the Convexity of Carrying Simplices in Competitive 353
Lotka Volterra Systems
E. C. Zeeman and M. L. Zeeman
Contents xv
PART II: DYNAMICAL SYSTEMS AND CONTROL SCIENCE
24. The Shuffle Product and Symmetric Groups 365
A. A. Agrachev and R. V. Gamkrelidze
25. Optimal Control of Infinite Dimensional Systems Governed by 383
Integro Differential Equations
N. U. Ahmed
26. Data Analysis of a Lumped System 403
Louis Auslander
27. Ergodic Bellman Systems for Stochastic Games 411
Alain Bensoussan and Jens Frehse
28. Some Results on Feedback Stabilizability of Nonlinear Systems 423
in Dimension Three or Higher
William M. Boothby and Riccardo Marino
29. Robust Stabilization of Infinite Dimensional Systems with 437
Respect to Coprime Factor Perturbations
Ruth F. Curtain and A. J. Pritchard
30. Time Delayed Perturbations and Robust Stability 457
Richard F. Datko
31. Positive Controllability of Linear Systems with Delay 469
Mohamed A. El Hodiri and F. S. Van Vleck
32. Discrete Time Partially Observed Control 481
Robert J. Elliott and John B. Moore
33. Symmetries of Differential Systems 491
Fabio Fagnani and Jan C. Willems
34. Relaxation in Semilinear Infinite Dimensional Control Systems 505
H. O. Fattorini
35. An Algebraic Approach to Hankel Norm Approximation Problems 523
P. A. Fuhrmann
36. Stabilizing Solutions to Riccati Inequalities and 551
Stabilizing Compensators with Disturbance Attenuation
Aristide Halanay
37. Vector Field Approximations Preserving Structural Properties 569
Henry Hermes
xvi Contents
38. Nonlinear Boundary Stabilization of a von Ka rma n Plate Equation 581
Mary Ann Horn and Irena Lasiecka
39. Global Null Controllability of Linear Control Processes 605
with Positive Lyapunov Exponents
Russell Johnson and Mahesh Nerurkar
40. Linear Two Dimensional Systems with Deviating Arguments 623
Tadeusz Kaczorek
41. Boundary Controllability in Transmission Problems for Thin Plates 641
John E. Lagnese
42. Approximation of Linear Input/Output Delay Differential Systems 659
E. Bruce Lee
43. Local Smoothing and Energy Decay for a Semi Infinite Beam 683
Pinned at Several Points, and Applications to Boundary Control
Walter Littman and Stephen W. Taylor
44. Abnormal Sub Riemannian Minimizers 705
Wensheng Liu and Hector J. Sussmann
45. Some Algebraic Approaches for Stability Analysis of Two Dimensional 717
Systems and Digital Filters
Wu Sheng Lu
46. A Control Theoretic Banach Lie Group GAB—The Stability Group 737
Dahlard L. Lukes
47. Min Max Game Theory and Algebraic Riccati Equations for 757
Boundary Control Problems with Analytic Semigroups: The Stable Case
Christine A. McMillan and Roberto Triggiani
48. Approximate Controllability of Linear Functional Differential Systems: 781
A State Space Independent Approach
Andrzej W. Olbrot
49. The Attainability Order in Control Systems 793
Emilio O. Roxin
50. Extending Linear Quadratic Optimal Control Laws to Nonlinear Systems 799
and/or Nonquadratic Cost Criteria
D. L. Russell and Xiaohong Zhang
51. Existence of Optimal Controls for a Free Boundary Problem 859
Thomas I. Seidman
Contents xvii
52. Maximum Principle for Optimal Control of Distributed Parameter 867
Stochastic Systems with Random Jumps
Shanjian Tang and Xun Jing Li
53. Spillover Problem and Global Dynamics of Nonlinear Beam Equations 891
Yuncheng You
54. A Dynamical Systems Approach to Solving Linear Programming Problems 913
Stanislaw H. Zak, Viriya Upatising, Walter E. Lillo, and Stefen Hui
|
| adam_txt |
Contents
Preface W. Norrie Everitt v
Acknowledgments xii
Contributors xix
A Brief History of Control Lawrence Markus xxv
PART I: DIFFERENTIAL EQUATIONS
1. De Motu Arietum (On the Motion of Battering Rams) 1
Rutherford Aris and Bernard S. Bachrach
2. A Note on Continuation Algorithms for Periodic Orbits 15
Pavol Brunovsky and Milan Kubala
3. Uniformly Isochronous Centers of Polynomial Systems in R2 21
Roberto Conti
4. Some Remarks on the Titchmarsh Weyl m Coefficient and 33
Associated Differential Operators
W. Norrie Everitt
5. Periodic Solutions of Single Species Models with Delay 55
H. 1. Freedman and Huaxing Xia
6. Asymptotic Estimates for a Nonstandard Second Order 75
Differential Equation
William A. Harris, Jr., Patrizia Pucci, and James Serrin
1. Asymptotic Phase, Shadowing and Reaction Diffusion Systems 87
Morris W. Hirsch
8. Numerical Methods for Studying Parameter Dependence of Solutions 101
to Schrodinger's Equation
M. Holthaus, C. S. Kenney, and A. J. Laub
9. Differential Systems and Algebras 115
Michael K. Kinyon and Arthur A. Sagle
xiii
xiv Contents
10. Limit Cycles and Centres: An Example 143
N. G. Lloyd and J. M. Pearson
11. Stability Criteria with a Symmetric Operator Occurring in 159
Linear and Nonlinear Delay Differential Equations
James Louisell
12. Approximating Piston Driven Flow of a Non Newtonian Fluid 173
David S. Malleus, John A. Nohel, and Bradley J. Plohr
13. A Necessary and Sufficient Condition for Exponential Stability 193
of Large Scale Stochastic Delay Systems in Hierarchical Form
Xuerong Mao
14. The Averaging Method and the Problem on Separation of Variables 213
Yu. A. Mitropolsky
15. Construction of Lyapunov Functions Using Integration by Parts 225
Patrick C. Parks
16. Remarks on Williams' Problem 235
W. Parry
17. Approximations of the Long Time Dynamics of the Navier Stokes 247
Equations
Victor A. Pliss and George R. Sell
18. About the Solution of Some Inverse Problems in Differential 277
Galois Theory by Hamburger Equations
J. P. Ramis
19. A Remark on Bessel Functions 301
Yasutaka Sibuya
20. The Broadwell System, Self Similar Ordinary Differential Equations, 307
and Fluid Dynamical Limits
Marshall Slemrod and Athanasios E. Tzavaras
21. The Statistical Mechanics of Asset Prices 321
Michael Stutzer
22. The Winding Problem for Stochastic Oscillators 343
Ananda P. N. Weerasinghe
23. On the Convexity of Carrying Simplices in Competitive 353
Lotka Volterra Systems
E. C. Zeeman and M. L. Zeeman
Contents xv
PART II: DYNAMICAL SYSTEMS AND CONTROL SCIENCE
24. The Shuffle Product and Symmetric Groups 365
A. A. Agrachev and R. V. Gamkrelidze
25. Optimal Control of Infinite Dimensional Systems Governed by 383
Integro Differential Equations
N. U. Ahmed
26. Data Analysis of a Lumped System 403
Louis Auslander
27. Ergodic Bellman Systems for Stochastic Games 411
Alain Bensoussan and Jens Frehse
28. Some Results on Feedback Stabilizability of Nonlinear Systems 423
in Dimension Three or Higher
William M. Boothby and Riccardo Marino
29. Robust Stabilization of Infinite Dimensional Systems with 437
Respect to Coprime Factor Perturbations
Ruth F. Curtain and A. J. Pritchard
30. Time Delayed Perturbations and Robust Stability 457
Richard F. Datko
31. Positive Controllability of Linear Systems with Delay 469
Mohamed A. El Hodiri and F. S. Van Vleck
32. Discrete Time Partially Observed Control 481
Robert J. Elliott and John B. Moore
33. Symmetries of Differential Systems 491
Fabio Fagnani and Jan C. Willems
34. Relaxation in Semilinear Infinite Dimensional Control Systems 505
H. O. Fattorini
35. An Algebraic Approach to Hankel Norm Approximation Problems 523
P. A. Fuhrmann
36. Stabilizing Solutions to Riccati Inequalities and 551
Stabilizing Compensators with Disturbance Attenuation
Aristide Halanay
37. Vector Field Approximations Preserving Structural Properties 569
Henry Hermes
xvi Contents
38. Nonlinear Boundary Stabilization of a von Ka'rma'n Plate Equation 581
Mary Ann Horn and Irena Lasiecka
39. Global Null Controllability of Linear Control Processes 605
with Positive Lyapunov Exponents
Russell Johnson and Mahesh Nerurkar
40. Linear Two Dimensional Systems with Deviating Arguments 623
Tadeusz Kaczorek
41. Boundary Controllability in Transmission Problems for Thin Plates 641
John E. Lagnese
42. Approximation of Linear Input/Output Delay Differential Systems 659
E. Bruce Lee
43. Local Smoothing and Energy Decay for a Semi Infinite Beam 683
Pinned at Several Points, and Applications to Boundary Control
Walter Littman and Stephen W. Taylor
44. Abnormal Sub Riemannian Minimizers 705
Wensheng Liu and Hector J. Sussmann
45. Some Algebraic Approaches for Stability Analysis of Two Dimensional 717
Systems and Digital Filters
Wu Sheng Lu
46. A Control Theoretic Banach Lie Group GAB—The Stability Group 737
Dahlard L. Lukes
47. Min Max Game Theory and Algebraic Riccati Equations for 757
Boundary Control Problems with Analytic Semigroups: The Stable Case
Christine A. McMillan and Roberto Triggiani
48. Approximate Controllability of Linear Functional Differential Systems: 781
A State Space Independent Approach
Andrzej W. Olbrot
49. The Attainability Order in Control Systems 793
Emilio O. Roxin
50. Extending Linear Quadratic Optimal Control Laws to Nonlinear Systems 799
and/or Nonquadratic Cost Criteria
D. L. Russell and Xiaohong Zhang
51. Existence of Optimal Controls for a Free Boundary Problem 859
Thomas I. Seidman
Contents xvii
52. Maximum Principle for Optimal Control of Distributed Parameter 867
Stochastic Systems with Random Jumps
Shanjian Tang and Xun Jing Li
53. Spillover Problem and Global Dynamics of Nonlinear Beam Equations 891
Yuncheng You
54. A Dynamical Systems Approach to Solving Linear Programming Problems 913
Stanislaw H. Zak, Viriya Upatising, Walter E. Lillo, and Stefen Hui |
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| genre | (DE-588)4016928-5 Festschrift gnd-content |
| genre_facet | Festschrift |
| id | DE-604.BV022119958 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:16:13Z |
| indexdate | 2024-07-09T20:50:55Z |
| institution | BVB |
| isbn | 0824789040 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015334709 |
| oclc_num | 246783744 |
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| owner | DE-706 |
| owner_facet | DE-706 |
| physical | XL, 946 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Dekker |
| record_format | marc |
| series | Lecture notes in pure and applied mathematics |
| series2 | Lecture notes in pure and applied mathematics |
| spelling | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus 1. print. New York [u.a.] Dekker 1994 XL, 946 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics 152 Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf (DE-588)4016928-5 Festschrift gnd-content Kontrolltheorie (DE-588)4032317-1 s DE-604 Differenzierbares dynamisches System (DE-588)4137931-7 s Differentialgleichung (DE-588)4012249-9 s 1\p DE-604 Elworthy, Kenneth David 1940- Sonstige (DE-588)114998132 oth Markus, Lawrence hnr Lecture notes in pure and applied mathematics 152 (DE-604)BV005871364 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015334709&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus Lecture notes in pure and applied mathematics Kontrolltheorie (DE-588)4032317-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4012249-9 (DE-588)4137931-7 (DE-588)4016928-5 |
| title | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus |
| title_auth | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus |
| title_exact_search | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus |
| title_exact_search_txtP | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus |
| title_full | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus |
| title_fullStr | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus |
| title_full_unstemmed | Differential equations, dynamical systems, and control science a festschrift in honor of Lawrence Markus |
| title_short | Differential equations, dynamical systems, and control science |
| title_sort | differential equations dynamical systems and control science a festschrift in honor of lawrence markus |
| title_sub | a festschrift in honor of Lawrence Markus |
| topic | Kontrolltheorie (DE-588)4032317-1 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| topic_facet | Kontrolltheorie Differentialgleichung Differenzierbares dynamisches System Festschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015334709&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005871364 |
| work_keys_str_mv | AT elworthykennethdavid differentialequationsdynamicalsystemsandcontrolscienceafestschriftinhonoroflawrencemarkus AT markuslawrence differentialequationsdynamicalsystemsandcontrolscienceafestschriftinhonoroflawrencemarkus |