CAJ | 학술논문

研究了连续线性时不变系统的可半稳定性。首先，基于矩阵的 Jordan 分解，给出了系统是半稳定的充要条件，由于0是半单特征值在研究系统半稳定性中的重要性，给出了0是半单特征值的两个充要条件。其次，基于系统的能控性分解，给出了系统是可半稳定的几个充要条件。最后通过数值算例验证了结果的可行性。
연구료련속선성시불변계통적가반은정성。수선，기우구진적 Jordan 분해，급출료계통시반은정적충요조건，유우0시반단특정치재연구계통반은정성중적중요성，급출료0시반단특정치적량개충요조건。기차，기우계통적능공성분해，급출료계통시가반은정적궤개충요조건。최후통과수치산례험증료결과적가행성。
Semistabilization of linear continuous time - invariant systems is investigated. Firstly,some sufficient and necessary conditions for semistability are given based on the Jordan decomposition. Because it is important that 0 is a semisimple eigenvalue in studying the semistability,two sufficient and necessary conditions are given. Secondly, based on controllability decomposition,several necessary and sufficient conditions are obtained for semistabiliza-tion. Finally,a numerical example is given to verify the feasibility of the obtained results.