This paper is concerned with the controller synthesis issue for enforced positive switched linear systems via output feedback. First, the stabilization problem is studied with output feedback under average dwell time switching signal, and the controllers we proposed guarantee stability and positivity of the closed-loop systems. Second, the output feedback stabilization issue is investigated by introducing special form of diagonal matrices, and the constraints on states and control inputs are solved based on limited initial conditions. Then, the derived conditions are described via linear programming, also extending the theoretical findings to constrained output issue. Finally, the simulation results demonstrate the feasibility of the control strategy.

中文翻译：

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具有有界控制的强制正切换线性系统的稳定性

本文关注的是通过输出反馈的强制正切换线性系统的控制器综合问题。首先，研究了平均停留时间切换信号下的输出反馈稳定问题，我们提出的控制器保证了闭环系统的稳定性和正性。其次，通过引入特殊形式的对角矩阵来研究输出反馈稳定问题，并基于有限的初始条件解决对状态和控制输入的约束。然后，通过线性规划描述导出的条件，还将理论发现扩展到约束输出问题。最后，仿真结果证明了控制策略的可行性。