State for linear discrete time-varying systems, with applications to dissipative systems

Thabiso M. Maupong; Paolo Rapisarda

doi:10.1016/j.sysconle.2022.105246

State for linear discrete time-varying systems, with applications to dissipative systems

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Abstract

We study the notion of state for a class of linear discrete time-varying systems and provide a characterization of polynomial operator in the shift used to define state trajectory from both external and auxiliary trajectories. We then characterize lossless systems and show that a storage function for a dissipative system can be written as a quadratic function of the state.

Original language	English
Article number	105246
Journal	Systems and Control Letters
Volume	164
DOIs	https://doi.org/10.1016/j.sysconle.2022.105246
Publication status	Published - Jun 2022

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2022.105246

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title = "State for linear discrete time-varying systems, with applications to dissipative systems",

abstract = "We study the notion of state for a class of linear discrete time-varying systems and provide a characterization of polynomial operator in the shift used to define state trajectory from both external and auxiliary trajectories. We then characterize lossless systems and show that a storage function for a dissipative system can be written as a quadratic function of the state.",

author = "Maupong, {Thabiso M.} and Paolo Rapisarda",

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AU - Rapisarda, Paolo

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AB - We study the notion of state for a class of linear discrete time-varying systems and provide a characterization of polynomial operator in the shift used to define state trajectory from both external and auxiliary trajectories. We then characterize lossless systems and show that a storage function for a dissipative system can be written as a quadratic function of the state.

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VL - 164

JO - Systems and Control Letters

JF - Systems and Control Letters

M1 - 105246

ER -

State for linear discrete time-varying systems, with applications to dissipative systems

Abstract

All Science Journal Classification (ASJC) codes

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