×

On robust stability of multivariate interval plants. (English) Zbl 1543.93282

Summary: In this work we consider the stability property of the feedback connection of a multivariate interval plant with a fixed compensator.
Copyright © 2003 John Wiley & Sons, Ltd.

MSC:

93D09 Robust stability
93C35 Multivariable systems, multidimensional control systems
93B52 Feedback control
Full Text: DOI

References:

[1] BasuS. On the multidimensional generalization of robustness of scattering Hurwitz property of complex polynomials. IEEE Transactions on Circuits and Systems1989; 36:1159-1167. · Zbl 0687.30006
[2] BasuS. On boundary implications of stability and positivity properties of multidimensional systems. Proceedings of the IEEE, vol. 78, 1990; 614-626.
[3] BoseNK. Robust multivariate scattering Hurwitz interval polynomial. Linear Algebra and its Applications1998; 98:123-136. · Zbl 0637.93059
[4] BoseNK. Edge property from end‐points for scattering Hurwitz polynomials. Automatica1996; 32(4):655-657. · Zbl 0848.93049
[5] KharitonovVL, Torres MuñozJA. Robust‐stability of multivariate polynomials part 1: small coefficient perturbations. Multidimensional Systems and Signal Processing1999; 10:7-20. · Zbl 0918.93034
[6] KharitonovVL, Torres MuñozJA, Ramirez‐SosaMI. Robust stability of multivariate polynomials part 2: polytopic coefficient variations. Multidimensional Systems and Signal Processing1999; 10:21-32. · Zbl 0951.93061
[7] KharitonovVL, Ramirez‐SosaMI. Torres MuñozJA. Robust stability of multivariate polynomials part 3: frequency domain approach. Multidimensional Systems and Signal Processing2000; 11:213-231. · Zbl 1030.93039
[8] GhoshBK. Some new results on simultaneous stabilization of family of single input, single output systems. Systems and Control Letters1985; 6:39-45. · Zbl 0565.93045
[9] BarmishBR, HollotCH, KrausFJ, TempoR. Extreme point results for robust stabilization of interval plants with first order compensators. IEEE Transactions on Automatic Control1992; 37:707-714. · Zbl 0755.93066
[10] ChapellatH, BhattacharyyaSP. A generalization of Kharitonov’s theorem: robust stability of interval plants. IEEE Transactions on Automatic Control, 1989; 37:306-311. · Zbl 0666.93100
[11] JuryEI, BauerP. On the stability of two‐dimensional continuous systems. IEEE Transactions on Circuits and Systems1988; 35:1487-1500. · Zbl 0673.93008
[12] KatbabA, JuryEI. Robust stability of two‐dimensional digital filters under coefficient perturbation. IEEE Transactions on Signal Processing, 1922; 40:993-996. · Zbl 0760.93062
[13] RantzerA. Stability conditions for polytopes of polynomials. IEEE Transactions on Automatic Control1992; AC‐37:79-89. · Zbl 0747.93064
[14] KharitonovVL, Torres MuñozJA. Robust stability of multivariate polynomials part 4: conic sets. Multidimensional Systems and Signal Processing, submitted for publication.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.