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In this paper, necessary and sufficient conditions for the approximate controllability of a large class of neutral systems in reflexive Banach spaces in investigated. The approach is based on the transformation of such systems into appropriate boundary control systems.
In this paper, a formation problem of a satellite with a leader in an eccentric orbit is considered, where the transition to a periodic relative orbit is required, and the control input is restricted to a subinterval of the period of the leader's orbit. As preliminaries, the same problem in the special case of the circular orbit is considered, and feedback controls based on a differential Riccati...
Structural controllability evaluation for heat exchanger networks (HENs) was proposed in this paper. Structural singularities, right-half plane zeros, time delays, and interactions were considered as structural analysis tools, in which the evaluation was formulated as an integer linear programming (ILP). The solutions comprising of the number of parallel opposing effects, the sum of relative orders,...
Inconsistent initial condition of descriptor systems results in distributional solution. In general, it is hard to see the impact of inconsistent initial condition from the original form of the descriptor systems. We propose in this paper a structural decomposition algorithm for the multivariable descriptor systems. We simplified the structural decomposition by eliminate the zero part xz in the decomposition...
A Boolean network is a logical dynamic system, which has been used to describe cellular networks. Using a new matrix product, called semi-tensor product of matrices, a logical function can be expressed as an algebraic function. This expression can covert the Boolean networks into discrete-time linear dynamic systems. Similarly, the Boolean control networks can also be converted into discrete time...
A novel integration of design and controllability method is proposed for the process design under uncertainty. The key idea is to integrate the robust eigenvalue assignment with the robust optimal design to achieve the desirable design performance and dynamic performance. The robust optimal design is to have a trade-off between robustness and optimization for the steady-state economic design, and...
In this paper we propose a model reduction for infinite dimensional systems using reciprocal transformation. The class of systems considered is that of a exponentially stable state linear systems (A;B;C), where operator A has a bounded inverse and the operator B and C are of finite-rank and bounded. We can connect the system (A;B;C) with its reciprocal system via the solutions of the Lyapunov equations...
Matrix version of the backward differentiation formulas were used for solving medium scale stiff Lyapunov differential equations with known closed-form solutions. The purpose was to investigate whether the backward differentiation formulas will produce accurate solutions for stiff Lyapunov differential equations of medium sizes. The sizes of the equations under consideration in this paper range from...
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