Stability of Time-Delay Systems
Stability of Time-Delay Systems
Multivariable Feedback Control: Analysis and Design
Multivariable Feedback Control: Analysis and Design
Stability and Stabilization of Time-Delay Systems (Advances in Design & Control) (Advances in Design and Control)
Strong Stability of Neutral Equations with an Arbitrary Delay Dependency Structure
SIAM Journal on Control and Optimization
Argument principle based stability conditions of a retarded quasipolynomial with two delays
ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume I
Continuous pole placement for delay equations
Automatica (Journal of IFAC)
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This paper extends results about stability and stabilization of a retarded quasipolynomial obtained using the Mikhaylov criterion earlier. Retarded quasipolynomials appear as numerators and denominators of linear time-invariant time-delay systems (LTI-TDS). A LTI-TDS system of retarded type (destitute of distributed delays) is said to be stable if all roots of its characteristic quasipolynomial are located in the open left-half complex plane. The contribution transforms the formulation of spectrum assignment of a characteristic quasipolynomial into the language of the Nyquist criterion for the open loop of a control system. Again, the argument principle is utilized to derive generalized Nyquist criterion for LTI-TDS. Stability measures related to the criterion are discussed with the specifications for LTI-TDS. An illustrative example is presented to illuminate the results.