Realization problem for positive 2D hybrid systems

DOI10.1108/03321640810861061zbMath1148.93318OpenAlexW1972799297MaRDI QIDQ3524566

Tadeusz Kaczorek

Publication date: 12 September 2008

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03321640810861061

zbMATH Keywords

numerical analysissystems and control theorydifferential and discrete equations

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Positive matrices and their generalizations; cones of matrices (15B48) Dynamical systems in control (37N35) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (11)

Fractional positive linear systems ⋮ Existence and determination of the set of Metzler matrices for given stable polynomials ⋮ Computer methods for stability analysis of the Roesser type model of 2D continuous-discrete linear systems ⋮ A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays ⋮ Positive stable realizations of fractional continuous-time linear systems ⋮ Stability of continuous-discrete linear systems described by the general model ⋮ Computation of positive stable realizations for linear continuous-time systems ⋮ Robust stability of the new general 2D model of a class of continuous-discrete linear systems ⋮ Minimum energy control of positive 2D continuous-discrete linear systems with bounded inputs ⋮ New stability conditions for positive continuous-discrete 2D linear systems ⋮ Eigenvalue trim approach to exact order reduction for Roesser state-space model of multidimensional systems

Cites Work

• Positive minimal realizations for singular discrete-time systems with delays in state and delays in control
• A discrete state-space model for linear image processing
• On the internal stability and asymptotic behavior of 2-D positive systems
• The general state-space model for a two-dimensional linear digital system
• A Tutorial on the Positive Realization Problem
• On the Observability of Linear Differential-Algebraic Systems With Delays
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