Dissipativity analysis and synthesis of a class of nonlinear systems with time-varying delays

In this paper, new results are established for the delay-independent and delay-dependent problems of dissipative analysis and state-feedback synthesis for a class of nonlinear systems with time-varying delays with polytopic uncertainties. This class consists of linear time-delay systems subject to nonlinear cone-bounded perturbations. Both delay-independent and delay-dependent dissipativity criteria are established as linear matrix inequality-based feasibility tests. The developed results in this paper for the nominal system encompass available results on H_∞ approach, passivity and positive realness for time-delay systems as special cases. All the sufficient stability conditions are cast. Robust dissipativity as well as dissipative state-feedback synthesis results are also derived. Numerical examples are provided to illustrate the theoretical developments.     

考虑合格率和返工合格率的多阶段MTO生产系统投产量决策

按量交货是订单式生产(MTO)企业赢得客户的基本条件,投产过多,浪费资源,投产不足,不能满足客户需求。因此,投产量决策成为订单式生产(MTO)企业亟需解决的难题。合格率是影响投产量大小的重要原因,同时返工合格率不容忽视。考虑合格率和返工合格率等因素,以期望损失最小化为目标,建立了多阶段MTO生产系统投产量决策模型,给出了合格率和返工率都为常量、离散随机变量或连续随机变量三种情况的最优投产量表达式,通过算例分析,验证了模型的可行性,并得出提高合格率和返工合格率,减少合格率离散幅度,是企业减少期望损失的关键。