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Properties of Eventually Positive Linear Input-Output Systems
[article]
2016
arXiv
pre-print
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We then extend the notion of eventually positive systems to the input-output system case. ...
Our extension is performed in such a manner, that some valuable properties of classical internally positive input-output systems are preserved. ...
We then define an input-output analogue of the eventually positive systems and show that these systems possess some properties of internally positive systems, as well. ...
arXiv:1509.08392v2
fatcat:tsvfhqkaefav3pfiuyxkno53zq
On the External Positivity of SISO Linear Dynamic Systems under a Class of Nonzero and Possibly Negative Initial Conditions Eventually Subject to Incommensurate Point Internal and External Delays
2022
Systems
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The property of external positivity of dynamic systems is commonly defined as the non-negativity of the output for all time under zero initial conditions and any given non-negative input for all time. ...
This paper investigates the extension of that property for a structured class of initial conditions of a single-input single-output (SISO) linear dynamic system which can include, in general, certain negative ...
Conflicts of Interest: The author declares no conflict of interests. ...
doi:10.3390/systems10010009
fatcat:fv4rxctw3vbmvj7xkymuvuwatu
About a Class of Positive Hybrid Dynamic Linear Systems and an Associate Extended Kalman-Yakubovich-Popov Lemma
2017
Discrete Dynamics in Nature and Society
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The hyperstability and asymptotic hyperstability properties of the studied class of positive hybrid systems under feedback from any member of a nonlinear (and, eventually, time-varying) class of controllers ...
This paper formulates an "ad hoc" robust version under parametrical disturbances of the discrete version of the Kalman-Yakubovich-Popov Lemma for a class of positive hybrid dynamic linear systems which ...
Acknowledgments The author is very grateful to the Spanish Government and European Fund of Regional Development FEDER for Grant DPI2015-64766-R and to UPV/EHU by its Grant PGC 17733 for research groups ...
doi:10.1155/2017/3928970
fatcat:g35veiwdavaedgxtxfjyhmdzyq
Aspects and Some Results on Passivity and Positivity of Dynamic Systems
2017
Journal of Physics, Conference Series
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, by adding a positive parallel direct input-output matrix interconnection gain. ...
In particular, the various concepts of passivity as standard passivity, strict input passivity, strict output passivity and very strict passivity (i.e. joint strict input and output passivity) are given ...
Acknowledgements This research is supported by the Spanish Government and by the European Fund of Regional Development FEDER through Grant DPI2015-64766-R and by UPV/EHU by Grant PGC 17/33. ...
doi:10.1088/1742-6596/936/1/012099
fatcat:dhs5aus3rrfrholcef73ruf66m
On the Asymptotic Hyperstability of Linear Time-Invariant Continuous-Time Systems under a Class of Controllers Satisfying Discrete-Time Popov's Inequality
2018
Mathematical Problems in Engineering
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This paper is concerned with the property of asymptotic hyperstability of a continuous-time linear system under a class of continuous-time nonlinear and perhaps time-varying feedback controllers belonging ...
is strictly positive real. ...
Acknowledgments The author is very grateful to the Spanish Government and European Fund of Regional Development FEDER for Grant no. ...
doi:10.1155/2018/7861396
fatcat:7xc7nd5skzhxrockly2vi3f4vi
Page 527 of Mathematical Reviews Vol. , Issue 93a
[page]
1993
Mathematical Reviews
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It is shown that the existence of a solution to the corresponding set of equations and inequalities depends on the structural properties of an associated input-output system (the number of system zeros ...
Feintuch [Linear Algebra Appl. 122/123/124 (1989), 105-114; MR 91a:93051], the notion of an eventually time-invariant system was defined. ...
Output-input stability and minimum-phase nonlinear systems
2002
IEEE Transactions on Automatic Control
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This paper introduces and studies the notion of output-input stability, which represents a variant of the minimum-phase property for general smooth nonlinear control systems. ...
The class of output-input stable systems thus defined includes all affine systems in global normal form whose internal dynamics are input-to-state stable and also all left-invertible linear systems whose ...
Loosely speaking, we will call a system output-input stable if its state and input eventually become small when the output and derivatives of the output are small. ...
doi:10.1109/9.989070
fatcat:luwuhhdyijbw7essxiwerlihie
From vehicular platoons to general networked systems: String stability and related concepts
2017
Annual Reviews in Control
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In some cases the use of heterogeneous controllers is even suggested to improve the performance of the system (Khatir and Davidson, 2004) . ...
A second goal is to extend the definitions to general networked systems. The use of homogeneous agents simplifies the analysis, however idealises the systems dramatically. ...
Also, these are mostly modeled as single input, single output systems, where the input is commonly a positional error and the output is the position of the vehicle. ...
doi:10.1016/j.arcontrol.2017.09.016
fatcat:k7mf7frlzba3tpxwqbfvudx3iu
On the Design of Hyperstable Feedback Controllers for a Class of Parameterized Nonlinearities. Two Application Examples for Controlling Epidemic Models
2019
International Journal of Environmental Research and Public Health
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This paper studies the hyperstability and the asymptotic hyperstability of a single-input single-output controlled dynamic system whose feed-forward input-output dynamics is nonlinear and eventually time-varying ...
In this way, set of robust hyperstability and asymptotic hyperstability of the closed-loop system are given based on the fact that the input-output energy of the feed-forward controlled system is positive ...
Conflicts of Interest: The author declares no conflict of interest. ...
doi:10.3390/ijerph16152689
pmid:31357623
pmcid:PMC6696007
fatcat:qyn4zctf2neyxptw5i3kz2vike
A Class of Quasi-Natural Potentials and Hyper-Stable PID Servo-Loops for Nonlinear Robotic Systems
1994
Transactions of the Society of Instrument and Control Engineers
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joint trajectories satisfy the passivity with respect to the residual input torque and a linear sum of residual velocity and saturated residual position outputs. ...
It is further shown that in the case of trajectory tracking the passivity of residual robot dynamics with SP-D feedback loops plays a vital role and eventually leads to the adaptability in model-based ...
and an output as a linear combination of the velocities and saturated positional differences. ...
doi:10.9746/sicetr1965.30.1005
fatcat:thszganntzgk7cx3lruakjzduy
Network Systems and String Stability
[article]
2017
arXiv
pre-print
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Network systems and their control are highly important and appear in a variety of applications, including vehicle platooning and formation con- trol. ...
A second goal is to generalise the found definitions for general network systems. ...
outputs of the networked system H(s). ...
arXiv:1702.05826v1
fatcat:pfg3a3c4ivewbmvgjm726bn2tu
A Fuzzy Adaptive GPS/INS Integrated Navigation Algorithm
2011
Procedia Engineering
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The statistical properties of the measurement noise of the missile-borne navigation system would vary under different actual working conditions. ...
Thus the Kalman filter can be adjusted to the optimal state, which eventually improves the accuracy of the integrated navigation system. ...
Acknowledgements The grant supports from National Natural Science Foundation of China (NO. 10972034) and Posterdoctoral Science Foundation of China (NO. 20100470213) are greatly acknowledged. ...
doi:10.1016/j.proeng.2011.08.123
fatcat:kvwx5hqqkrggfgg7ljrjps4ihi
About robust hyperstability and dissipativity of linear time-invariant dynamic systems subject to hyperstable controllers and unstructured delayed state and output disturbances
2018
Cogent Engineering
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or not since the properties depend only of the measured input and output. ...
the sate and output. ...
Acknowledgements The author is very grateful to the Spanish Government and European Fund of Regional Development FEDER for Grant DPI2015-64766-R and to the UPV/EHU by its support via Grant PGC 17/33. ...
doi:10.1080/23311916.2018.1437662
fatcat:kwe37hoogzaubmjledkqxh5j6a
On Bounded Strictly Positive Operators of Closed Range and Some Applications to Asymptotic Hyperstability of Dynamic Systems
2013
Abstract and Applied Analysis
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The problem discussed is the stability of two input-output feedforward and feedback relations, under an integral-type constraint defining an admissible class of feedback controllers. ...
asymptotic hyperstability of dynamic systems are discussed later on. ...
Acknowledgments The author is very grateful to the Spanish Government for its support of this research through Grant DPI2012-30651 and to the Basque Government for its support of this research through ...
doi:10.1155/2013/639576
fatcat:qlvptd4r3ne5hfh7t67pzbbzke
On the global limits and oscillations of a system of nonlinear differential equations describing a flow on a probabilistic network
1969
Journal of Differential Equations
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subjected to inputs Z = (I1 , I, , Z,) by an experimenter d who records the outputs X = (x1 , x2, xa) created thereby. 8 has only the inputs Z and the outputs X at his disposal with which to describe ( ...
=l (1) where i, j, k = 1,2, 3 and /3 is a positive number. ...
Also this alternative does not correspond to an alternative between linearity and nonlinearity of the system, since in both cases the system is eventually linear.
OUTPUT SIZE vs. ...
doi:10.1016/0022-0396(69)90092-8
fatcat:fct5gjiqk5ambitisqlavvkaue
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