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The underactuated Euler's system of dynamical equations for the spacecraft is partitioned into actuated and unactuated subsystems, and a function of the angular velocities about the unactuated body axes is used to prescribe a desired second-order dynamics for the unactuated subsystem.
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Reachability analysis and viability theory provide solid frameworks for control system of constrained dynamical systems in a set-valued fashion [5, 16].
The main thing is to design a properly pinning controller, for which the error system of complex dynamical networks is asymptotically stable.
Hybrid systems are a class of dynamical systems whose behaviors are based on the interaction between discrete and continuous dynamical behaviors.
Hybrid systems are a class of dynamical systems whose behaviors are based on the interaction between discrete and continuous dynamical behaviors; in other words, at different time intervals, different dynamical behaviors can be expected from a hybrid system.
Shift radix systems form a collection of dynamical systems depending on a parameter r which varies in the d-dimensional real vector space.
Time-delay systems constitute a special class of dynamical systems that are frequently present in many fields of engineering.
This analysis illustrates the kinds of insights that can be obtained by treating agents as dynamical systems and applying the tools of dynamical systems theory to their behavior.
This type of piecewise diagonal linear systems belongs to a class of dynamical systems proposed originally by Glass and Kaufman [29].
Potential landscapes can only be calculated explicitly for the class of dynamical systems called gradient systems [ 32].
The algorithm for stochastic flux analysis is applied to a class of dynamical systems that we call interaction systems.
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