In control theory, the "'minimum energy control "'is the control u ( t ) that will bring a linear time invariant system to a desired state with a minimum expenditure of energy.
22.
In the study of dynamical systems, the "'method of averaging "'is used to study certain time-varying systems by analyzing easier, time-invariant systems obtained by averaging the original system.
23.
Although arbitrary wave shapes will propagate unchanged in lossless linear time-invariant systems, in the presence of dispersion the sine wave is the unique shape that will propagate unchanged but for phase and amplitude, making it easy to analyze.
24.
The QFT design methodology was originally developed for " Single-Input Single-Output " ( SISO ) and " Linear Time Invariant Systems " ( LTI ), with the design process being as described above.
25.
Keeping our aim at linear, time invariant systems, we can also characterize the multipath phenomenon by the channel transfer function H ( f ), which is defined as the continuous time Fourier transform of the impulse response h ( t)
26.
In accordance with the methods of linear time-invariant systems, by putting two different inputs into the integrator circuit, i _ 1 ( t ) \, and i _ 2 ( t ) \,, the two different outputs
27.
In the case of linear invariant systems, this is known as positive real transfer functions, and a fundamental tool is the so-called Kalman Yakubovich Popov lemma which relates the state space and the frequency domain properties of positive real systems.
28.
In control theory and in particular when studying the properties of a linear time-invariant system in state space form, the "'Hautus lemma "', named after Malo Hautus, can prove to be a powerful tool.
29.
If a time-invariant system is also linear, it is the subject of LTI system theory ( linear time-invariant ) with direct applications in NMR spectroscopy, seismology, Discrete time-invariant systems are known as shift-invariant systems.
30.
If a time-invariant system is also linear, it is the subject of LTI system theory ( linear time-invariant ) with direct applications in NMR spectroscopy, seismology, Discrete time-invariant systems are known as shift-invariant systems.
