Stabilization and destabilization of hybrid systems by periodic stochastic controls. (English) Zbl 1478.93716
Summary: This paper aims to determine whether or not a periodic stochastic feedback control can stabilize or destabilize a given nonlinear hybrid system. New methods are developed and sufficient conditions on the stability and instability for hybrid nonlinear systems with periodic stochastic perturbations are provided. These results are then used to examine stabilization and destabilization by periodic stochastic feedback controls, including intermittent stochastic controls.
MSC:
| 93E15 | Stochastic stability in control theory |
| 93D15 | Stabilization of systems by feedback |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C10 | Nonlinear systems in control theory |
Keywords:
nonlinear hybrid differential equation; periodic stochastic control; Brownian motion; Markov chain; stationary distribution; stabilizationReferences:
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