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Papers by Luc Muhirwa
Zero crossings in the step response of linear time-delay systems
PAMM, 2012
ABSTRACT Relations between zeros of the transfer function and properties of the step response are... more ABSTRACT Relations between zeros of the transfer function and properties of the step response are quite well-known for linear time-invariant systems. In this paper we provide new derivations of some of these results about zero crossings which immediately allow a generalization to systems with time-delay. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
On Euclidean Norm Balancing
PAMM, 2013
ABSTRACT We recall Euclidean norm balancing of linear time-invariant control systems and extend i... more ABSTRACT We recall Euclidean norm balancing of linear time-invariant control systems and extend it to other classes of systems. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
IEEE Transactions on Automatic Control, 2000
We consider functions in the time and the frequency domain, and show how the occurrence of real z... more We consider functions in the time and the frequency domain, and show how the occurrence of real zeros in the frequency domain is related to the number of zero crossings, overshoot and initial undershoot in the time domain. This leads to simple proofs of known facts for linear time-invariant systems and their generalizations in various directions. In particular, we consider time-delay systems and differential systems of fractional order.
IEEE Transactions on Automatic Control, 2000
We consider functions in the time and the frequency domain, and show how the occurrence of real z... more We consider functions in the time and the frequency domain, and show how the occurrence of real zeros in the frequency domain is related to the number of zero crossings, overshoot and initial undershoot in the time domain. This leads to simple proofs of known facts for linear time-invariant systems and their generalizations in various directions. In particular, we consider time-delay systems and differential systems of fractional order.
Zero crossings in the step response of linear time-delay systems
PAMM, 2012
ABSTRACT Relations between zeros of the transfer function and properties of the step response are... more ABSTRACT Relations between zeros of the transfer function and properties of the step response are quite well-known for linear time-invariant systems. In this paper we provide new derivations of some of these results about zero crossings which immediately allow a generalization to systems with time-delay. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
On Euclidean Norm Balancing
PAMM, 2013
ABSTRACT We recall Euclidean norm balancing of linear time-invariant control systems and extend i... more ABSTRACT We recall Euclidean norm balancing of linear time-invariant control systems and extend it to other classes of systems. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
IEEE Transactions on Automatic Control, 2000
We consider functions in the time and the frequency domain, and show how the occurrence of real z... more We consider functions in the time and the frequency domain, and show how the occurrence of real zeros in the frequency domain is related to the number of zero crossings, overshoot and initial undershoot in the time domain. This leads to simple proofs of known facts for linear time-invariant systems and their generalizations in various directions. In particular, we consider time-delay systems and differential systems of fractional order.
IEEE Transactions on Automatic Control, 2000
We consider functions in the time and the frequency domain, and show how the occurrence of real z... more We consider functions in the time and the frequency domain, and show how the occurrence of real zeros in the frequency domain is related to the number of zero crossings, overshoot and initial undershoot in the time domain. This leads to simple proofs of known facts for linear time-invariant systems and their generalizations in various directions. In particular, we consider time-delay systems and differential systems of fractional order.