## A constructive approach to controllability of linear and nonlinear systems |

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### Contents

Null Controllability of a Class of Linear | 12 |

Chapter ? Controllability of a Class of Nonlinear | 23 |

Example | 31 |

1 other sections not shown

### Common terms and phrases

admissible control admissible trajectory algebraic structure algebraically control Assume bang-bang control block corresponding block diagonal bounded class of linear class of systems complex eigenvalues components conditions of Theorem Consider the subsystem constant control restraint set controllability of system convex hull cyclic sub cyclic subspace corresponding defined Definition domain of null e^Dv effectively independent controls eigenvector element of g_ equivalent Example exist elements extensions following conditions function of x(t hence Hermes and LaSalle inputs Jordan blocks Jordan canonical form lable Lee and Markus linear algebra linear differential equations linear systems linearly independent lyJ^T Markus 9 matrix necessary conditions nonlinear systems nonsingular nonsingular matrix nontrivial null controllable orthogonal proof of Theorem real canonical form real eigenvalues restrictions satisfy set G set S(X Silverman and Meadows space sufficiency conditions sufficient for null system is null system of linear Theorem 2A thesis time-varying systems vector weak-null-controllability zero eigenvalue