A note on the complete instability of linear non-conservative undamped systems

Abstract

The note is concerned with the problem of determining the completely unstable linear non-conservative undamped (circulatory) dynamical systems. Several conditions that provide the complete instability for such systems are derived using the direct method of Lyapunov and the concept of controllability. The conditions are expressed directly via the matrices describing the dynamical system.

Keywords

• non-conservative system
• degree of instability
• complete instability