For example, consider the large number of microscopic variables necessary to describe the state evolution of a quadruped in locomotion.
Using this approach, we constrain the state evolution of the system to an appropriately defined submanifold of the configuration space, which is called the constraint manifold.
Therefore, it is used as the prediction model in this paper to forecast the state evolution of the heat pump population.
This can be seen in Fig. 3 c which shows the state evolution of the agents in the network assuming a 5-bit (32-level) uniform quantizer.
Even without knowledge of the state evolution of microscopic quantities, more readily observable macroscopic quantities can clearly affect the stability of certain patterns.
Then, the previous result is applied to characterize the average network pipe capacity occupancy time in a Markov chain that approximates the state evolution of the inter-DC network and allows to compute the migration request blocking probability (Section 1).
Shows at each gossip iteration the state evolution of the agents in the network assuming a 5-bit uniform quantizer is used; the desired average is denoted by the dashed grey line.
To ensure this, existence and stability conditions of all possible periodic orbits are found out analytically and shown that only period-2 conditions are satisfied by the state evolution of the discretized system in steady-state.
The switched time t 1 = k 1 T e = 5 s, and we suppose that the initial state vector is ϕ ( s ) = [ 1 2 ] T for all s = − 5, − 4, − 3, − 2, − 1, 0. The norm of the state, evolution of the states and the state space are shown in Figure 7, Figure 8 and Figure 9, respectively.
As long as we can reasonably design the receiver so that the state evolution of the response system synchronize to that of the driven system, the message obtained by the receiver can be hidden in a chaotic signal, hence, secure communication can be implemented.
