## The Mathematics of control theory: based on the proceedings of a conference on control theory, organized by the Institute of Mathematics and Its Applications, and held at the University of Strathclyde in September 1988This volume offers papers covering a wide range of topics of current interest to mathematicians and electrical engineers in the field of control theory. It covers algebraic systems theory, nonlinear control systems, adaptive control, robustness issues, infinite dimensional systems, applications studies, and connections to mathematical aspects of information theory and data-fusion. |

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### Contents

List of contributors xiiii | 1 |

Polynomial optimization | 23 |

G E Hayton A B Walker and A C Pugh | 36 |

Copyright | |

22 other sections not shown

### Common terms and phrases

adaptive control algebraic algorithm analysis application approach approximation assumption Automatic Control bounded closed-loop computational consider constant control input control law control theory coprime cost functional CSAC defined delay denotes derived differential diophantine equation discrete discrete-time dynamics eigenvalues eigenvector engine error estimate example exists exponential feedback control Figure finite finite-dimensional FSTS controller given hence IEEE Trans input-output integral manifold inverse iterations Lemma linear systems loop Lyapunov function Mathematics method nonlinear systems null space obtained operator optimal control Pade Pade approximant paper parameter perturbed system Pi(s PID controller plant pole assignment polynomial matrix predictive control problem Proc Proof properties proposition rational robustness satisfies scalar self-tuning simulation singular values sliding SmVSC solution space spectral stability radius state-space subspace switching function system equivalence Theorem time-delay time-invariant time-varying systems transfer function transformation variable structure vector Wang zero structure