On feedback stabilization of time-varying discrete linear systems

“…The research carried out under AFOSR-75-2793 falls under six main categories: f (A) Feedback stabilization methods for linear systems [1,2,5,6,8,9,14] , including time varying, discrete, continuous, differential-delay and linear systems subject to average power constraints. (F) Signal reconstruction [16].…”

Section: Completed Researchmentioning

confidence: 99%

Control of Nonlinear Systems.

Pearson¹

1980

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“…Many results appeared in the last decades for settling stability concepts of time-varying linear systems, see for instance landmark results in [1], [2] [3], [4], [5], [6], [7]; see also [8], [9] for an account on some recent extensions for linear parameter time-varying systems.…”

Section: Introductionmentioning

confidence: 99%

Almost Periodic Parameters for the Second Moment Stability of Linear Stochastic Systems

Vargas

Val

2014

IEEE Trans. Automat. Contr.

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Abstract-The paper presents conditions to assure the uniform second moment stability for a class of linear time-varying stochastic systems. The system parameters are assumed to be almost periodic, a concept that is weaker than the periodic one. Under the existence of the long-run average cost associated with the stochastic system, we apply the almost periodicity to prove the desired stability result. An application illustrates the usefulness of the approach by implementing an almost periodic state-feedback strategy to control the velocity of a DC motor device.

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On feedback stabilization of time-varying discrete linear systems

Cited by 206 publications

References 8 publications

Application of Receding Horizon Kalman Filter to Underwater Navigation Systems

Application of Receding Horizon Kalman Filter to Underwater Navigation Systems

Control of Nonlinear Systems.

Almost Periodic Parameters for the Second Moment Stability of Linear Stochastic Systems

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