Controller Synthesis for Positive Linear Systems With Bounded Controls

By Mustapha Ait Rami, Fernando Tadeo. IEEE Transactions on Circuits and Systems - II - Express Briefs, 2007

454 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/9ed64c41f05d862e342fb00a6111259178d1d9e8

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In Control and Systems Engineering

Citations in the corpus

Positive state‐bounding observer for positive interval continuous‐time systems with time delay (2012, methodology): “The synthesis problem of state-feedback controllers guaranteeing the stability and positivity of the closed-loop system has been treated by means of linear matrix inequality (LMI) approach and linear programming approach in [13] and [14], respectively.”
Distributed control of positive systems (2011, unknown): “Stabilizing static output feedback controllers were parameterized using linear programming in [16,15] and extensions to input–output gain were given in [24,4].”
Static output feedback control for positive linear continuous‐time systems (2013, methodology): “The problem of the state feedback control was considered in [23] by using linear”
On static output‐feedback stabilization for multi‐input multi‐output positive systems (2015, background): “The state-feedback stabilization for positive systems was first solved in [23] and was further extended to tackle the constrained control problem for delayed positive systems in [24, 25].”
Exponential stability analysis for positive systems with delays (2011, background): “The mathematical theory of positive systems is based on the theory of nonnegative matrices founded by Perron and Frobenius [1-3] and many results about stability and control have been obtained [4-8].”
Decay rate constrained stabilization of positive systems using static output feedback (2011, methodology): “Various state feedback control problems have been tackled using the linear programming approach [19], linear matrix inequality (LMI) techniques [20] and Geršgorin’s Theorem [21].”
Discrete‐time control for switched positive systems with application to mitigating viral escape (2011, background): “When the transition matrix is fixed, the provided conditions are linear, so that it allows the incorporation of additional state constraints, see, for example, the linear programming approach in [32].”