Polyhedral cones associated to M-matrices and stability of time varying discrete time systems

DOI10.1016/0022-247X(86)90292-1zbMath0596.93047MaRDI QIDQ1078530

Jean Chegancas, Christian Burgat

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

time-varying systemspolyhedral conessolidM-matriceslinear time-invariant discrete-time systemssufficient conditions for asymptotic stability of the origin

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Positive matrices and their generalizations; cones of matrices (15B48) Model systems in control theory (93C99) Polytopes and polyhedra (52Bxx)

Related Items

Positively invariant sets of discrete-time systems with constrained inputs, Existence of nonsymmetrical stability domains for linear systems, Linear model following systems with constrained control, Existence of non-symmetrical Lyapunov functions for linear systems, Stability properties of positively invariant linear discrete time systems, Error bound analysis for vector equilibrium problems with partial order provided by a polyhedral cone, Positively invariant sets for singular discrete-time systems

Cites Work

• Stability conditions for a class of time-varying discrete-time systems
• Application of M-matrices to the stability problems of composite dynamical systems
• Lyapunov functions for diagonally dominant systems
• A stability criterion for linear time-varying systems
• A Survey onM-Matrices
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