Necessary and sufficient conditions for Lyapunov stability, semistability and asymptotic stability of matrix second-order systems are given in terms of the coefficient matrices. Necessary and sufficient conditions for Lyapunov stability and instability in the absence of viscous damping are also given. These are rued to derive several known stability and instability criteria as well as a few new ones. In addition, examples are given to illustrate the stability conditions.
机构:
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta,GA,30332-0150, United StatesSchool of Aerospace Engineering, Georgia Institute of Technology, Atlanta,GA,30332-0150, United States
Haddad, Wassim M.
Lee, Junsoo
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机构:
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta,GA,30332-0150, United StatesSchool of Aerospace Engineering, Georgia Institute of Technology, Atlanta,GA,30332-0150, United States
机构:
Department of Applied Mathematics, Acharya Nagarjuna University Post Graduate Centre, NuzvidDepartment of Applied Mathematics, Acharya Nagarjuna University Post Graduate Centre, Nuzvid