1st Edition
Control Of Nonlinear Distributed Parameter Systems
376 Pages
by
CRC Press
Also available as eBook on:
An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a
Preface, Contributors, 1. Shape Sensitivity Analysis in Hyperbolic Problems with Nonsmooth Domains, 2. 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, 3. Velocity Method and Courant Metric Topologies in Shape Analysis of Partial Differential Equations, 4. Nonlinear Periodic Oscillations in Suspension Bridges, 5. Canonical Dual Control for Nonconvex Distributed-Parameter Systems: Theory and Method, 6. Carleman Estimate for a Parabolic Equation in a Sobolev Space of Negative Order and Its Applications, 7. Bilinear Control for Global Controllability of the Semilinear Parabolic Equations with Superlinear Terms, 8. A Nonoverlapping Domain Decomposition for Optimal Boundary Control of the Dynamic Maxwell System, 9. Boundary Stabilizibility of a Nonlinear Structural Acoustic Model Including Thermoelastic Effects, 10. On Modelling, Analysis and Simulation of Optimal Control Problems for Dynamic Networks of Euler-Bernoulli- and Rayleigh-Beams, 11. Local Characterizations of Saddle Points and Their Morse Indices, 12. Static Buckling in a Supported Nonlinear Elastic Beam, 13. Optimal Control of a Nonlinearly Viscoelastic Rod, 14. Mathematical Modeling and Analysis for Robotic Control, 15. Optimal Control and Synthesis of Nonlinear Infinite Dimensional Systems, 16. Forced Oscillation of the Korteweg-De Vries-Burgers Equation and Its Stability
Biography
Goong Chen, Irena Lasiecka, Jianxin Zhou
