Differential equations, dynamical systems, and control science : a festschrift in honor of Lawrence Markus

목차 (Table of Contents)

• 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) / Rutherford Aris ; Bernard S. Bachrach = 1
• 2. A Note on Continuation Algorithms for Periodic Orbits / Pavol Brunovsk$$\acute y$$ ; Milan Kubala = 15
• 3. Uniformly Isochronous Centers of Polynomial Systems in R₂ / Roberto Conti = 21
• 4. Some Remarks on the Titchmarsh-Weyl m-Coefficient and Associated Differential Operators / W. Norrie Everitt = 33
• 5. Periodic Solutions of Single Species Models with Delay / H. I. Freedman ; Huaxing Xia = 55
• 6. Asymptotic Estimates for a Nonstandard Second Order Differential Equation / William A. Harris, Jr. ; Patrizia Pucci ; James Serrin = 75
• 7. Asymptotic Phase, Shadowing and Reaction-Diffusion Systems / Morris W. Hirsch = 87
• 8. Numerical Methods for Studying Parameter Dependence of Solutions to Schr$$\ddot o$$dinger's Equation / M. Holthaus, ; C. S. Kenney ; A. J. Laub = 101
• 9. Differential Systems and Algebras / Michael K. Kinyon ; Arthur A. Sagle = 115
• 10. Limit Cycles and Centres: An Example / N. G. Lloyd ; J. M. Pearson = 143
• 11. Stability Criteria with a Symmetric Operator Occurring in Linear and Nonlinear Delay-Differential Equations / James Louisell = 159
• 12. Approximating Piston-Driven Flow of a Non-Newtonian Fluid / David S. Malkus, ; John A. Nohel, ; Bradley J. Plohr = 173
• 13. A Necessary and Sufficient Condition for Exponential Stability of Large-Scale Stochastic Delay Systems in Hierarchical Form / Xuerong Mao = 193
• 14. The Averaging Method and the Problem on Separation of Variables / Yu. A. Mitropolsky = 213
• 15. Construction of Lyapunov Functions Using Integration by Parts / Pattick C. Parks = 225
• 16. Remarks on Williams' Problem / W. Parry = 235
• 17. Approximations of the Long-Time Dynamics of the Navier-Stokes Equations / Victor A. Pliss ; George R. Sell = 247
• 18. About the Solution of Some Inverse Problems in Differential Galois Theory by Hamburger Equations / J. P. Ramis = 277
• 19. A Remark on Bessel Functions / Yasutaka Sibuya = 301
• 20. The Broadwell System, Self-Similar Ordinary Differential Equations, and Fluid Dynamical Limits / Marshall Slemrod ; Athanasios E. Tzavaras = 307
• 21. The Statistical Mechanics of Asset Prices / Michael Stutzer = 321
• 22. The Winding Problem for Stochastic Oscillators / Ananda P. N. Weerasinghe = 343
• 23. On the Convexity of Carrying Simplices in Competitive Lotka-Volterra Systems / E. C. Zeeman ; M. L. Zeeman = 353
• PART Ⅱ: DYNAMICAL SYSTEMS AND CONTROL SCIENCE
• 24. The Shuffle Product and Symmetric Groups / A. A. Agrachev ; R. V. Gamkrelidze = 365
• 25. Optimal Control of Infinite Dimensional Systems Governed by Integro Differential Equations / N. U. Ahmed = 383
• 26. Data Analysis of a Lumped System / Louis Auslander = 403
• 27. Ergodic Bellman Systems for Stochastic Games / Alain Bensoussan ; Jens Frehse = 411
• 28. Some Results on Feedback Stabilizability of Nonlinear Systems in Dimension Three or Higher / William M. Boothby ; Riccardo Marino = 423
• 29. Robust Stabilization of Infinite-Dimensional Systems with Respect to Coprime Factor Perturbations / Ruth F. Curtain ; A. J. Pritchard = 437
• 30. Time-Delayed Perturbations and Robust Stability / Richard F. Datko = 457
• 31. Positive Controllability of Linear Systems with Delay / Mohamed A. El-Hodiri ; F. S. Van Vleck = 469
• 32. Discrete Time Partially Observed Control / Robert J. Elliott ; John B. Moore = 481
• 33. Symmetries of Differential Systems / Fabio Fagnani ; Jan C. Willems = 491
• 34. Relaxation in Semilinear Infinite Dimensional Control Systems / H. O. Fattorini = 505
• 35. An Algebraic Approach to Hankel Norm Approximation Problems / P. A. Fuhrmann = 523
• 36. Stabilizing Solutions to Riccati Inequalities and Stabilizing Compensators with Disturbance Attenuation = Aristide Halanay = 551
• 37. Vector Field Approximations Preserving Structural Properties / Henry Hermes = 569
• 38. Nonlinear Boundary Stabilization of a von K$$\acute a$$rm$$\acute a$$n Plate Equation / Mary Ann Horn ; Irena Lasiecka = 581
• 39. Global Null Controllability of Linear Control Processes with Positive Lyapunov Exponents / Russell Johnson ; Mahesh Nerurkar = 605
• 40. Linear Two-Dimensional Systems with Deviating Arguments / Tadeusz Kaczorek = 623
• 41. Boundary Controllability in Transmission Problems for Thin Plates / John E. Lagnese = 641
• 42. Approximation of Linear Input/Output Delay-Differential Systems / E. Bruce Lee = 659
• 43. Local Smoothing and Energy Decay for a Semi-Infinite Beam Pinned at Several Points, and Applications to Boundary Control / Walter Littman ; Stephen W. Taylor = 683
• 44. Abnormal Sub-Riemannian Minimizers / Wensheng Liu ; H$$\acute e$$ctor J. Sussmann = 705
• 45. Some Algebraic Approaches for Stability Analysis of Two-Dimensional Systems and Digital Filters = Wu-Sheng Lu = 717
• 46. A Control-Theoretic Banach Lie Group $$G_A,B$$-The Stability Group / Dahlard L. Lukes = 737
• 47. Min-Max Game Theory and Algebraic Riccati Equations for Boundary Control Problems with Analytic Semigroups: The Stable Case / Christine A. McMillan ; Roberto Triggiani = 757
• 48. Approximate Controllability of Linear Functional-Differential Systems: A State Space Independent Approach / Andrzej W. Olbrot = 781
• 49. The Attainability Order in Control Systems / Emilio O. Roxin = 793
• 50. Extending Linear-Quadratic Optimal Control Laws to Nonlinear Systems and/or Nonquadratic Cost Criteria / D. L. Russell ; Xiaohong Zhang = 799
• 51. Existence of Optimal Controls for a Free Boundary Problem / Thomas I. Seidman = 859
• 52. Maximum Principle for Optimal Control of Distributed Parameter Stochastic Systems with Random Jumps / Shanjian Tang ; Xun-Jing Li = 867
• 53. Spillover Problem and Global Dynamics of Nonlinear Beam Equations / Yuncheng You = 891
• 54. A Dynamical Systems Approach to Solving Linear Programming Problems / Stanislaw H. $$\dot Z$$ak ; Viriya Upatising ; Walter E. Lillo ; Stefen Hui = 913