On the dual linear periodic time‐delay system: Spectrum and Lyapunov matrices, with application to ℋ2 analysis and balancing
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4970
Abstract: We present novel theoretical concepts for linear time‐periodic systems with multiple delays, which are closely related to the spectral properties and Lyapunov matrices. At the basis of the main results is the associated dual system,… read more here.
Keywords: time; system; periodic systems; lyapunov matrices ... See more keywords
Extension of State Space and Lyapunov Matrices
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2020.2995404
Abstract: One of the main problems in the application of the theory of Lyapunov–Krasovskii functionals is the construction of corresponding Lyapunov matrices. Recently, it was noted that systems with distributed delay and exponential kernel may be… read more here.
Keywords: lyapunov; system; state space; extension state ... See more keywords