Title :
Asymptotic stability of matrix second order systems: new conditions and perspectives
Author :
Yedavalli, Rama K. ; Diwekar, Anjali M.
Author_Institution :
Dept. of Aerosp. Eng., Appl. Mech. & Aviation, Ohio State Univ., Columbus, OH, USA
Abstract :
Modeling of many dynamical systems results in matrix second order differential equations. In this paper, the stability issues of matrix second order dynamical systems are discussed. In literature, only sufficient conditions of stability and/or instability for a system in matrix second order form are available. In this paper, necessary and sufficient conditions of asymptotic stability for time-invariant systems in matrix second order form under different types of dynamic loading (conservative/nonconservative) are derived and physical interpretation is carried out. As the conditions are directly in terms of physical parameters of the system, the effect of different loading on the system stability is made transparent by dealing the stability issues directly in matrix second order form
Keywords :
asymptotic stability; differential equations; discrete time systems; linear systems; matrix algebra; state-space methods; asymptotic stability; differential equations; dynamic loading; dynamical systems; linear systems; matrix second order systems; necessary condition; nonconservative systems; state space representation; sufficient conditions; symmetric matrix; time-invariant systems; Aerodynamics; Ambient intelligence; Asymptotic stability; Differential equations; Eigenvalues and eigenfunctions; Polynomials; Sufficient conditions; Symmetric matrices; Time invariant systems; Zirconium;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480284
