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E-raamat: Control Of Nonlinear Distributed Parameter Systems

Edited by (Texas A & M University, College Station, Texas, USA), Edited by (University of Virginia, Charlottesville, USA), Edited by (Texas A&M University, College Station, USA)
  • Formaat: 376 pages
  • Ilmumisaeg: 14-Mar-2001
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781135574222
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  • Formaat: 376 pages
  • Ilmumisaeg: 14-Mar-2001
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781135574222
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A reference providing analyses of the influences and relation of nonlinear partial differential equations to control systems. It covers topics including control laws, stability and optimization, and feedback syntheses for systems defined by partial differential equations; advances in "smart" materials; the effects of chaotic behavior on linear wave equations; and modeling, synthesis, and simulation techniques for static buckling and optimal control of beams, rods, and nonlinear infinite dimensional systems. The editors are mathematicians at Texas A&M U. and the U. of Virginia. The work has no index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Preface v Contributors xi Shape Sensitivity Analysis in Hyperbolic Problems with Nonsmooth Domains 1(14) John Cagnol Jean-Paul Zolesio Unbounded Growth of Total Variations of Snapshots of the 1D Linear Wave Equation Due to the Chaotic Behavior of Iterates of Composite Nonlinear Boundary Reflection Relations 15(30) Goong Chen Tingwen Huang Jonq Juang Daowei Ma Velocity Method and Courant Metric Topologies in Shape Analysis of Partial Differential Equations 45(24) Michel C. Delfour Jean-Paul Zolesio Nonlinear Periodic Oscillations in Suspension Bridges 69(16) Zhonghai Ding Canonical Dual Control for Nonconvex Distributed-Parameter Systems: Theory and Method 85(28) David Y. Gao Carleman Estimate for a Parabolic Equation in a Sobolev Space of Negative Order and Its Applications 113(26) O. Yu. Imanuvilov M. Yamamoto Bilinear Control for Global Controllability of the Semilinear Parabolic Equations with Superlinear Terms 139(18) Alexander Khapalov A Nonoverlapping Domain Decomposition for Optimal Boundary Control of the Dynamic Maxwell System 157(20) J. E. Lagnese Boundary Stabilizibility of a Nonlinear Structural Acoustic Model Including Thermoelastic Effects 177(22) Catherine Lebiedzik On Modelling, Analysis and Simulation of Optimal Control Problems for Dynamic Networks of Euler-Bernoulli-and Rayleigh-Beams 199(34) Guenter Leugering Wigand Rathmann Local Characterizations of Saddle Points and Their Morse Indices 233(20) Yongxin Li Jianxin Zhou Static Buckling in a Supported Nonlinear Elastic Beam 253(20) David L. Russell Luther W. White Optimal Control of a Nonlinearly Viscoelastic Rod 273(12) Thomas I. Seidman Stuart S. Antman Mathematical Modeling and Analysis for Robotic Control 285(14) S. Tsui Optimal Control and Synthesis of Nonlinear Infinite Dimensional Systems 299(38) Yuncheng You Forced Oscillation of the Korteweg-De Vries-Burgers Equation and Its Stability 337 Bing-Yu Zhang