Description
Book SynopsisThe problem of developing a systematic approach to the design of feed back strategies capable of shaping the response of complicated dynamical control systems illustrates the integration of a wide variety of mathemat ical disciplines typical of the modern theory of systems and control.
Table of ContentsSimultaneous Stabilization of Linear Time Varying Systems by Linear Time Varying Compensation.- Robust Feedback Stabilization of Nonlinear Systems.- Feedback Design from the Zero Dynamics Point of View.- Two Examples of Stabilizable Second Order Systems.- Orthogonality — Conventional and Unconventional — in Numerical Analysis.- Discrete Observability of Parabolic Initial Boundary Value Problems.- Numerical Optimal Control via Smooth Penalty Functions.- Observability and Inverse Problems Arising in Electrocardiography.- Eigenvalue Approximations on the Entire Real Line.- Prediction Bands for Ill-Posed Problems.- Controllability, Approximations and Stabilization.- Interval Mathematics Techniques for Control Theory Computations.- Accuracy and Conditioning in the Inversion of the Heat Equation.- On the Recovery of Surface Temperature and Heat Flux via Convolutions.- Observability, Interpolation and Related Topics.- Constructing Polynomials over Finite Fields.- A Collocative Variation of the Sinc-Galerkin Method for Second Order Boundary Value Problems.- A Sinc-Collocation Method for Weakly Singular Volterra Integral Equations.- Tuning Natural Frequencies by Output Feedback.- Efficient Numerical Solution of Fourth-Order Problems in the Modeling of Flexible Structures.- Explicit Approximate Methods for Computational Control Theory.- Sinc Approximate Solution of Quasilinear Equations of Conservation Law Type.- Systems with Fast Chaotic Components.- Bifurcation and Persistance of Minima in Nonlinear Parametric Programming.- Numerical Solution of an Ill-Posed Coefficient Identification Problem.- Observability, Predictability and Chaos.- Geometric Inverse Eigenvalue Problem.- Observability and Group Representation Theory.- Highly-Accurate Difference Schemes for Solving Hyperbolic Problems.- A Finite Spectrum Unmixing Set for $$\mathcal{G}\mathcal{L}\left( {3,\mathcal{R}} \right)$$.