Quantitative Measures of Modal Controllability and Observability in Vibration Control of Defective and Near-Defective Systems

Dynamic behavior of nonlinear systems at critical point of Hopf bifurcation

“…However, in actual engineering problems, the linearization of flutter analysis of aeroelasticity, the dynamic analysis of mobility and graspability of general manipulation systems [8,9] may exist non-semi-simple purely imaginary eigenvalues at a critical point, giving rise to multiple Hopf bifurcations. Ref.…”

Robustness analysis of responses of vibration control structures with uncertain parameters using interval algorithm

“…The vibration control theory for systems with deterministic parameters has been well developed. For example, Porter and Crossley [17] developed the standard methods for vibration control, and Chen et al [18,19] discussed the modal controllability/observability and modal optimal control for defective/near defective systems with repeated/close eigenvalues. As mentioned above, the uncertain concept plays an important role in the control problems of the vibration structures and has attracted a great deal of interest in recent years.…”

“…In engineering practice, the problem of structural vibration control has been of interest for many years [17][18][19][20][21][22][23]. The vibration control theory for systems with deterministic parameters has been well developed.…”

Interval eigenvalues of closed-loop systems of uncertain structures

“…[9] developed the standard methods for vibration 0045 control, and the Refs. [10,11] discussed the modal controllability/observability and modal optimal control for defective/near defective systems with repeated/close eigenvalues. As mentioned above, the uncertain concept plays an important role in the control problem of the vibration structures.…”