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A Bound on the Impulse Response of Stable Rational Plants
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The magnitude of the impulse response of a strictly proper stable rational plant at time t is estimated to be of order 0(1/t) where the implied constant is explicitly given in terms of the ...
Chaos in Linear Distributed Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Chaos can occur in linear distributed dynamical systems. Recent results of Godefroy and Shapiro show that certain linear analytic semi-groups exhibit chaotic behavior.
Linear Chaos in the Unforced Quantum Harmonic Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The annihilation operator of the unforced quantum harmonic oscillator is chaotic.
State Estimation of the Nonself-Adjoint Acoustic Duct System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The acoustic response of a hard walled duct with a partially absorptive boundary condition has been modeled in state space form. The system states of this model are not directly measurable. ...
Robust Nonlinear Stick-Slip Friction Compensation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A nonlinear compensation force for stick-slip friction is developed to supplement a proportional + derivative control law applied to a one-degree-of-freedom mechanical system. Inertial control ...
Using Operational Calculus to Obtain Transient Response Estimates in Linear Uncertain Feedback Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new methodology is presented for deriving transient response estimates for a large class of uncertain linear feedback single input/output systems, including unstable distributed parameter systems. ...
In Search of Weaker Conditions to Insure Robust Stability in Linear Feedback Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper is concerned with the well-known condition for robust stability of systems with plant uncertainty. It is shown that the usual sufficient condition for robust stability, given in terms ...
Frequency Domain Stability Criterion for Vibration Control of the Bernoulli-Euler Beam
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A new single-input single-output frequency domain stability criterion for distributed parameter systems is illustrated by application to feedback control of a Bernoulli-Euler beam. The system is ...
State Space Representation of the Nonself-Adjoint Acoustic Duct System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: One-dimensional acoustic response of ducts is a classical engineering problem. The acoustic response in a hard-walled duct with a dissipative end condition can be visualized as a combination of ...