Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed whi...
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ISBN:
(纸本)9781713872344
Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed which can be directly combined with existing latelumping controllers and observer output injection gains. It relies on a decomposition of the feedback gain, resp. observer output injection gain, into a bounded and an unbounded part. Based on a perturbation result, the spectrum-determined growth condition is established, for the closed loop. Copyright (c) 2023 The Authors.
The paper considers robust output regulation of a Guyer-Krumhansl (GK) heat conduction law under modeling mismatches. More specifically, we consider the differences of the GK model compared with a simple diffusion equ...
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ISBN:
(纸本)9781713872344
The paper considers robust output regulation of a Guyer-Krumhansl (GK) heat conduction law under modeling mismatches. More specifically, we consider the differences of the GK model compared with a simple diffusion equation (also known as the Fourier heat conduction law) and treat them as modeling mismatches in view of robust output regulation. We will consider a simple internal model based controller to solve the output regulation problem and analyze its robustness with respect to the differences between the two heat conduction laws. Moreover, we will test the robustness of the considered controller in numerical simulations.
In this paper we show that a wide class of compartmental systems with bounded capacities called generalized ribosome flow models are stable with an entropy-like logarithmic Lyapunov function known from the theory of n...
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In this paper we show that a wide class of compartmental systems with bounded capacities called generalized ribosome flow models are stable with an entropy-like logarithmic Lyapunov function known from the theory of nonnegative systems and reaction networks. The stability proof uses the kinetic representation of the compartmental model and earlier approaches applied for the input-to-state stability analysis of reaction networks with time-varying reaction rates. The results are valid not only for mass action type systems but also for models with more general reaction rates. Illustrative examples are given to show the qualitative dynamical properties of simple generalized ribosome flow models. Copyright (C) 2022 The Authors.
We show that one-dimensional nonlocal flow models in PDE form with Lighthill-Whitham-Richards flux supplemented with appropriate in- and out-flow terms can be spatially discretized with a finite volume scheme to obtai...
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We show that one-dimensional nonlocal flow models in PDE form with Lighthill-Whitham-Richards flux supplemented with appropriate in- and out-flow terms can be spatially discretized with a finite volume scheme to obtain formally kinetic models with physically meaningful reaction graph structure. This allows the utilization of the theory of chemical reaction networks, as demonstrated here via the stability analysis of a flow model with circular topology. We further propose an explicit time discretization and a Courant-Friedrichs-Lewy condition ensuring many advantageous properties of the scheme. Additional characteristics, including monotonicity and the total variation diminishing property are also discussed. Copyright (C) 2022 The Authors.
In this paper we study ISS-like properties of infinite dimensional discrete time systems and compare them with their continuous time counterparts available in the literature. New characterizations of such properties a...
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In this paper we study ISS-like properties of infinite dimensional discrete time systems and compare them with their continuous time counterparts available in the literature. New characterizations of such properties are derived in this work. We discuss differences between discrete and continuous time systems in view of their robust stability and demonstrate the corresponding properties by means of examples. Copyright (C) 2022 The Authors.
Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed whi...
详细信息
Infinite-dimensional linear systems with unbounded input and output operators are considered. For the purpose of finite-dimensional observer-based state feedback, an observer approximation scheme will be developed which can be directly combined with existing late-lumping controllers and observer output injection gains. It relies on a decomposition of the feedback gain, resp. observer output injection gain, into a bounded and an unbounded part. Based on a perturbation result, the spectrum-determined growth condition is established, for the closed loop.
The paper considers robust output regulation of a Guyer-Krumhansl (GK) heat conduction law under modeling mismatches. More specifically, we consider the differences of the GK model compared with a simple diffusion equ...
详细信息
The paper considers robust output regulation of a Guyer-Krumhansl (GK) heat conduction law under modeling mismatches. More specifically, we consider the differences of the GK model compared with a simple diffusion equation (also known as the Fourier heat conduction law) and treat them as modeling mismatches in view of robust output regulation. We will consider a simple internal model based controller to solve the output regulation problem and analyze its robustness with respect to the differences between the two heat conduction laws. Moreover, we will test the robustness of the considered controller in numerical simulations.
This paper introduces a simplified mechanical model of pressure relief valves extended by a downstream pipe. The distributedparameter model of the system is presented and transformed into a system of neutral delay di...
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This paper introduces a simplified mechanical model of pressure relief valves extended by a downstream pipe. The distributedparameter model of the system is presented and transformed into a system of neutral delay differential equations. It is shown that the time delay is proportional to the length of the downstream pipe. The analytical investigation of the system proves the stabilizing effect of the pipe length, which is relevant in the safe operation of these valves. Copyright (C) 2021 The Authors.
In this paper we show that a wide class of compartmental systems with bounded capacities called generalized ribosome flow models are stable with an entropy-like logarithmic Lyapunov function known from the theory of n...
详细信息
In this paper we show that a wide class of compartmental systems with bounded capacities called generalized ribosome flow models are stable with an entropy-like logarithmic Lyapunov function known from the theory of nonnegative systems and reaction networks. The stability proof uses the kinetic representation of the compartmental model and earlier approaches applied for the input-to-state stability analysis of reaction networks with time-varying reaction rates. The results are valid not only for mass action type systems but also for models with more general reaction rates. Illustrative examples are given to show the qualitative dynamical properties of simple generalized ribosome flow models.
We show that one-dimensional nonlocal flow models in PDE form with Lighthill-Whitham-Richards flux supplemented with appropriate in- and out-flow terms can be spatially discretized with a finite volume scheme to obtai...
详细信息
We show that one-dimensional nonlocal flow models in PDE form with Lighthill-Whitham-Richards flux supplemented with appropriate in- and out-flow terms can be spatially discretized with a finite volume scheme to obtain formally kinetic models with physically meaningful reaction graph structure. This allows the utilization of the theory of chemical reaction networks, as demonstrated here via the stability analysis of a flow model with circular topology. We further propose an explicit time discretization and a Courant-Friedrichs-Lewy condition ensuring many advantageous properties of the scheme. Additional characteristics, including monotonicity and the total variation diminishing property are also discussed.
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