Invariance of the reachable set under nonlinear perturbations
SIAM Journal on Control and Optimization
Controllability questions for nonlinear systems in abstract spaces
Journal of Optimization Theory and Applications
Linear quadratic regulation for linear time-varying systems with multiple input delays
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Controllability and observability of Boolean control networks
Automatica (Journal of IFAC)
Input-state approach to boolean networks
IEEE Transactions on Neural Networks
Stochastic Controllability of Linear Systems With State Delays
International Journal of Applied Mathematics and Computer Science
Stochastic Controllability of Systems with Multiple Delays in Control
International Journal of Applied Mathematics and Computer Science
Brief paper: Complete controllability of impulsive stochastic integro-differential systems
Automatica (Journal of IFAC)
Brief paper: Controllability of Boolean control networks with time delays in states
Automatica (Journal of IFAC)
Identification of Boolean control networks
Automatica (Journal of IFAC)
Exponential Stability of Discrete-Time Genetic Regulatory Networks With Delays
IEEE Transactions on Neural Networks
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This paper investigates the controllability of Boolean control networks (BCNs) with time-invariant delays both in states and inputs. The necessary and sufficient conditions on the controllability via two kinds of controls are presented by providing the corresponding reachable sets. The proposed results generalize the controllability analysis on Boolean control networks without time delay. And we also consider the optimal control problem of BCNs from a given initial state to a desired state in minimal time. Three examples include a biological example are given to show the effectiveness of the proposed results.