By introducing a state-feedback controller, the autonomous rendezvous problem is regarded as an asymptotic stabilization problem of a switching system composed of impulse action phase and free motion phase.
In the literature many authors study the stability of impulsive systems with deterministic moments of impulses (see [1, 2, 4] and the references cited therein), the exponential stability of impulsive delay differential equations with deterministic moments of impulses [12 15] and the p-moment stability of stochastic differential equations with or without impulses [6, 7, 16, 17].
In the central nervous system generally, the relay of impulses from one nerve cell or neuron to excite another is only one aspect of neuronal interaction.
The response of the tire is quite similar to the response of viscously damped mass system for impulse force which is provided by an impact hammer.
The nervous system, specialized for the conduction of impulses, allows rapid responses to environmental stimuli.
New techniques for design of train of impulses improving system robustness appeared in the theory (mainly in time domain).
To do so, we generate a synthetic speech signal by exciting a known all-pole system with a periodic sequence of impulses (at known locations).
On the other hand, in Theorem 3.6, the negative supply rate leads to the decreasing of "energy" of system at impulse instances (see (3.27)) and thus it permits to some extend of increasing of "energy" during two consecutive impulses (see (3.26)) while the stability property of whole system can still be guaranteed. .
On the other hand, in Theorem 3.6, the negative supply rate leads to the decreasing of "energy" of system at impulse instances (see (3.27)) and thus it permits to some extend of increasing of "energy" during two consecutive impulses (see (3.26)) while the stability property of whole system can still be guaranteed.
However, the impulse phenomena sometimes happen at random times, and any solution of systems driven by this kind of impulses is a stochastic process, which is very different from those of differential systems with impulses at fixed moments and varying impulse times [11].
