Linear Systems and Exponential Dichotomy Structure of Sets of Hyperbolic Points
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Invariant Manifolds: Linear and Nonlinear Systems
Previous Article A note on the fractalization of saddle invariant curves in quasiperiodic systems. Piecewise smooth systems near a co-dimension 2 discontinuity manifold: Can one say what should happen? Under the assumption of lack of uniform controllability for a family of time-dependent linear control systems, we study the dimension, topological structure and other dynamical properties of the sets of null controllable points and of the sets of reachable points.
In particular, when the space of null controllable vectors has constant dimension for all the systems of the family, we find a closed invariant subbundle where the uniform null controllability holds. Finally, we associate a family of linear Hamiltonian systems to the control family and assume that it has an exponential dichotomy in order to relate the space of null controllable vectors to one of the Lagrange planes of the continuous hyperbolic splitting.
Keywords: reachable sets , abnormal systems , proper focal points. Null controllable sets and reachable sets for nonautonomous linear control systems. References:  I.
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Much of modern research is focused on the study of chaotic systems. The following pages are in this category, out of approximately total.
Null controllable sets and reachable sets for nonautonomous linear control systems
This list may not reflect recent changes learn more. From Wikipedia, the free encyclopedia. Systems science portal. The main article for this category is Dynamical system. Subcategories This category has the following 27 subcategories, out of 27 total.