Positivization With Stability of Switched Linear Systems by Logic-Based Switchings
研究了在不要求每个子系统为正的条件下，通过逻辑切换实现切换线性系统的正化与稳定性，给出了充分条件并用三维系统实例验证。
This letter investigates the positivization with the stability of switched linear systems by logic-based switchings without requiring the positivity conditions of each subsystem. First, the definitions on row submatrix and nonzero-row submatrix are introduced to characterize the structure of subsystems. Second, a logic-based switching law is designed based on the structural characteristics. Third, the sufficient conditions on the positivization together with stability for switched linear systems are derived in the framework of the logic switching law. Thus, based on the logic switching law, the sufficient conditions are presented for that of 3-D switched systems by further presenting a more concrete case. Finally, a numerical example is given to illustrate the validity of the proposed methods.