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Title Differential equations, dynamical systems, and control science : a festschrift in honor of Lawrence Markus / edited by K.D. Elworthy, W. Norrie Everitt, E. Bruce Lee.
Imprint New York : M. Dekker, [1994]

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Series Lecture notes in pure and applied mathematics ; v. 152
Lecture notes in pure and applied mathematics ; v. 152.
Subject Control theory.
Differential equations.
Differentiable dynamical systems.
Alt Name Markus, L. (Lawrence), 1922-2020.
Elworthy, K. D.
Everitt, W. N. (William Norrie), 1924-2011.
Lee, E. B. (Ernest Bruce), 1932-
NetLibrary, Inc.
Description xl, 946 pages : illustrations ; 26 cm.
polychrome rdacc
Bibliography Note Includes bibliographical references.
Reproduction Electronic reproduction. Boulder, Colo. : NetLibrary, 2000. Available via World Wide Web. Access may be limited to NetLibrary affiliated libraries.
ISBN 0585322228 (electronic bk.) : $225.00
0824789040 (acid-free paper)
OCLC # 45843873
Additional Format Original (DLC) 93030077 (OCoLC)28633346.
Table of Contents
 Preface / W. Norrie Everitt 
 A Brief History of Control / Lawrence Markus 
1De Motu Arietum (On the Motion of Battering Rams) / Rutherford Aris, Bernard S. Bachrach1
2A Note on Continuation Algorithms for Periodic Orbits / Pavol Brunovsky, Milan Kubala15
3Uniformly Isochronous Centers of Polynomial Systems in R[superscript 2] / Roberto Conti21
4Some Remarks on the Titchmarsh-Weyl m-Coefficient and Associated Differential Operators / W. Norrie Everitt33
5Periodic Solutions of Single Species Models with Delay / H. I. Freedman, Huaxing Xia55
6Asymptotic Estimates for a Nonstandard Second Order Differential Equation / William A. Harris, Jr., Patrizia Pucci, James Serrin75
7Asymptotic Phase, Shadowing and Reaction-Diffusion Systems / Morris W. Hirsch87
8Numerical Methods for Studying Parameter Dependence of Solutions to Schrodinger's Equation / M. Holthaus, C. S. Kenney, A. J. Laub101
9Differential Systems and Algebras / Michael K. Kinyon, Arthur A. Sagle115
10Limit Cycles and Centres: An Example / N. G. Lloyd, J. M. Pearson143
11Stability Criteria with a Symmetric Operator Occurring in Linear and Nonlinear Delay-Differential Equations / James Louisell159
12Approximating Piston-Driven Flow of a Non-Newtonian Fluid / David S. Malkus, John A. Nohel, Bradley J. Plohr173
13A Necessary and Sufficient Condition for Exponential Stability of Large-Scale Stochastic Delay Systems in Hierarchical Form / Xuerong Mao193
14The Averaging Method and the Problem on Separation of Variables / Yu. A. Mitropolsky213
15Construction of Lyapunov Functions Using Integration by Parts / Patrick C. Parks225
16Remarks on Williams' Problem / W. Parry235
17Approximations of the Long-Time Dynamics of the Navier-Stokes Equations / Victor A. Pliss, George R. Sell247
18About the Solution of Some Inverse Problems in Differential Galois Theory by Hamburger Equations / J. P. Ramis277
19A Remark on Bessel Functions / Yasutaka Sibuya301
20The Broadwell System, Self-Similar Ordinary Differential Equations, and Fluid Dynamical Limits / Marshall Slemrod, Athanasios E. Tzavaras307
21The Statistical Mechanics of Asset Prices / Michael Stutzer321
22The Winding Problem for Stochastic Oscillators / Ananda P. N. Weerasinghe343
23On the Convexity of Carrying Simplices in Competitive Lotka-Volterra Systems / E. C. Zeeman, M. L. Zeeman353
24The Shuffle Product and Symmetric Groups / A. A. Agrachev, R. V. Gamkrelidze365
25Optimal Control of Infinite Dimensional Systems Governed by Integro Differential Equations / N. U. Ahmed383
26Data Analysis of a Lumped System / Louis Auslander403
27Ergodic Bellman Systems for Stochastic Games / Alain Bensoussan, Jens Frehse411
28Some Results on Feedback Stabilizability of Nonlinear Systems in Dimension Three or Higher / William M. Boothby, Riccardo Marino423
29Robust Stabilization of Infinite-Dimensional Systems with Respect to Coprime Factor Perturbations / Ruth F. Curtain, A. J. Pritchard437
30Time-Delayed Perturbations and Robust Stability / Richard F. Datko457
31Positive Controllability of Linear Systems with Delay / Mohamed A. El-Hodiri, F. S. Van Vleck469
32Discrete Time Partially Observed Control / Robert J. Elliott, John B. Moore481
33Symmetries of Differential Systems / Fabio Fagnani, Jan C. Willems491
34Relaxation in Semilinear Infinite Dimensional Control Systems / H. O. Fattorini505
35An Algebraic Approach to Hankel Norm Approximation Problems / P. A. Fuhrmann523
36Stabilizing Solutions to Riccati Inequalities and Stabilizing Compensators with Disturbance Attenuation / Aristide Halanay551
37Vector Field Approximations Preserving Structural Properties / Henry Hermes569
38Nonlinear Boundary Stabilization of a von Karman Plate Equation / Mary Ann Horn, Irena Lasiecka581
39Global Null Controllability of Linear Control Processes with Positive Lyapunov Exponents / Russell Johnson, Mahesh Nerurkar605
40Linear Two-Dimensional Systems with Deviating Arguments / Tadeusz Kaczorek623
41Boundary Controllability in Transmission Problems for Thin Plates / John E. Lagnese641
42Approximation of Linear Input/Output Delay-Differential Systems / E. Bruce Lee659
43Local Smoothing and Energy Decay for a Semi-Infinite Beam Pinned at Several Points, and Applications to Boundary Control / Walter Littman, Stephen W. Taylor683
44Abnormal Sub-Riemannian Minimizers / Wensheng Liu, Hector J. Sussmann705
45Some Algebraic Approaches for Stability Analysis of Two-Dimensional Systems and Digital Filters / Wu-Sheng Lu717
46A Control-Theoretic Banach Lie Group G[subscript A,B] - The Stability Group / Dahlard L. Lukes737
47Min-Max Game Theory and Algebraic Riccati Equations for Boundary Control Problems with Analytic Semigroups: The Stable Case / Christine A. McMillan, Roberto Triggiani757
48Approximate Controllability of Linear Functional-Differential Systems: A State Space Independent Approach / Andrzej W. Olbrot781
49The Attainability Order in Control Systems / Emilio O. Roxin793
50Extending Linear-Quadratic Optimal Control Laws to Nonlinear Systems and/or Nonquadratic Cost Criteria / D. L. Russell, Xiaohong Zhang799
51Existence of Optimal Controls for a Free Boundary Problem / Thomas I. Seidman859
52Maximum Principle for Optimal Control of Distributed Parameter Stochastic Systems with Random Jumps / Shanjian Tang, Xun-Jing Li867
53Spillover Problem and Global Dynamics of Nonlinear Beam Equations / Yuncheng You891
54A Dynamical Systems Approach to Solving Linear Programming Problems / Stanislaw H. Zak, Viriya Upatising, Walter E. Lillo, Stefen Hui913

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