Discrete-time average positivity and spectral factorization in a behavioral framework.

DOI10.1016/S0167-6911(99)00080-8zbMath1103.93316OpenAlexW2061751830MaRDI QIDQ5958827

Takao Fujii, Osamu Kaneko

Publication date: 3 March 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(99)00080-8

zbMATH Keywords

Average positivityBehavioral approachDiscrete timeDissipativenessQuadratic difference formsSpectral factorization

Mathematics Subject Classification ID

Algebraic methods (93B25) Stability of control systems (93D99) Controllability, observability, and system structure (93B99)

Related Items (9)

State for linear discrete time-varying systems, with applications to dissipative systems ⋮ Lyapunov functions for time-relevant \(2D\) systems, with application to first-orthant stable systems ⋮ Identification and data-driven model reduction of state-space representations of lossless and dissipative systems from noise-free data ⋮ Time-relevant stability of 2D systems ⋮ Lyapunov stability analysis of higher-order 2-D systems ⋮ L₂-optimal identification of MIMO errors-in-variables models from the v-gap geometrical interpretation ⋮ A characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms ⋮ Recursive exact \(H_{\infty }\)-identification from impulse-response measurements ⋮ Totally dissipative systems

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient algorithm for matrix spectral factorization
• From time series to linear system. I: Finite dimensional linear time invariant systems
• Every storage function is a state function
• The Kalman-Yakubovich-Popov Lemma in a behavioural framework
• Dissipative dynamical systems. II: Linear systems with quadratic supply rates
• Paradigms and puzzles in the theory of dynamical systems
• DISSIPATIVE DYNAMICAL SYSTEMS IN A BEHAVIORAL CONTEXT
• On Quadratic Differential Forms

This page was built for publication: Discrete-time average positivity and spectral factorization in a behavioral framework.