## A Modified Lyapunov Method for Nonlinear Stability Problems |

### What people are saying - Write a review

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

### Contents

Chapter Page | v |

FUNDAMENTAL CONSIDERATIONS 5 | ii |

STABILITY OF CONTROL SYSTEMS | 42 |

1 other sections not shown

### Common terms and phrases

A-stability algebraic analysis application asymptotically stable automatic control autonomous systems axes becomes bll bl2 boundary bounded Cayley-Hamilton theorem chapter coefficients complex components considered constant control systems corresponding curve defined definition of stability derivative determined differential equation disturbed motion eigenvalues eigenvectors elements equation of motion equilibrium position example Fourth Order given gives gradient initial disturbance inside integral inverse investigated linear systems linearized approximation Lyapunov function Lyapunov method magnitude mathematical matrices in table metric tensor monotonic stability negative definite negative or zero neutral stability nonlinear systems Order System origin orthogonal positive definite function positive definite matrix positive or zero possible principal axis transformation quadratic form quantity reference inputs region of stability represented roots scalar semi-definite set of equations solution solve space stable region stable systems surface Sylvester's theorem symbol symmetric matrix theorem third order tions transpose unstable variables vector