## Mathematical Systems Theory in Biology, Communications, Computation and FinanceJoachim Rosenthal, David S. Gilliam Mathematical systems theory is a vibrant research area in its own right. The theory has an impact in numerous applications areas including aeronautics, biological systems, chemical engineering, communication systems, financial engineering and robotics to name just a few. This volume contains survey and research articles by some of the leading researchers in mathematical systems theory. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists. The articles contained in this volume are from those presented as plenary lectures, invited one hour lectures and minisymposia at the 15th International Symposium on the Mathematical Theory of Networks and Systems held at the University of Notre Dame, August 12-16, 2002. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

ON CELLULAR AUTOMATON APPROACHES TO MODELING BIOLOGICAL CELLS | 1 |

CRYSTALLINE STOCHASTIC SYSTEMS AND CURVATURE DRIVEN FLOWS | 41 |

STATE SPACE AND FREQUENCY DOMAIN METHODS | 63 |

DISSIPATIVE DYNAMICS IN CLASSICAL AND QUANTUM CONSERVATIVE SYSTEMS | 121 |

A STATE SPACE APPROACH TO CONTROL OF INTERCONNECTED SYSTEMS | 157 |

MULTIDIMENSIONAL CAPACITY PRESSURE AND HAUSDORFF DIMENSION | 183 |

NUMERICS VERSUS CONTROL | 223 |

MANIPULATING MATRIX INEQUALITIES AUTOMATICALLY | 237 |

BELIEF PROPAGATION ON PARTIALLY ORDERED SETS | 275 |

SMOOTHING BY SAVITZKYGOLAY AND LEGENDRE FILTERS | 301 |

ON STOCHASTIC CONTROL IN FINANCE | 317 |

CONTROL AND FINANCIAL ENGINEERING | 345 |

IMPEDANCE AND SCATTERING SYSTEMS FROM A PERSONAL POINT OF VIEW | 375 |

WITH APPLICATIONS TO CONTROL AND STABILIZATION | 415 |

ON FACTOR GRAPHS AND ELECTRICAL NETWORKS | 469 |

DISSIPATIVE DISTRIBUTED SYSTEMS | 493 |

### Other editions - View all

Mathematical Systems Theory in Biology, Communications, Computation and Finance Joachim Rosenthal,David S Gilliam No preview available - 2003 |

Mathematical Systems Theory in Biology, Communications, Computation and Finance Joachim Rosenthal,David S. Gilliam No preview available - 2011 |

### Common terms and phrases

adjoint algebraic algorithm applications asset assume Bloch bounded Cayley transform cells chemotaxis compute condition conservative consider constraints convergence convex corresponding curve defined definition delay equations denote diagonal transform differential equations dimension discrete dissipative dynamics eigenvalue eigenvectors electrical network energy preserving equivalent example exists factor graphs feedback filter Finance finite flag manifold formula free energy given hedging Hence Hilbert space implies inequality input interconnection inverse iteration Kalman filtering Laplace transform lattice Lemma limsup linear Math Mathematics matrix maximal minimal myxobacteria noncommutative operator optimal orthogonal output parameter particle polynomial portfolio poset positive problem proof Proposition QR-algorithm quadratic Rayleigh Quotient Iteration reachable sets Riemann surface satisfies scattering passive Section semigroup signal smooth solution space spatial stability stochastic subspace symmetric system node Theorem theory tion Toda lattice trajectory transfer function unique variables vector vessel well-posed zero