Model with coupled subsystems

Тхай, В. Н.

doi:10.1134/s0005117913060039

Cited by 25 publications

(8 citation statements)

References 4 publications

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“…. , N}, and let us differentiate the functional (8) with respect to the sth subsystem of the family (10). We geṫ…”

Section: Resultsmentioning

confidence: 99%

“…is the general diagonal Lyapunov function for the corresponding family (11). At the same time, it is easy to show that family (10) has no diagonal Lyapunov-Krasovskii functional (8).…”

Section: Sufficient Conditions For Diagonal Stabilitymentioning

confidence: 99%

“…In recent years, they have found extensive applications in network control problems (see, for example, [4,8]). In addition, positive systems arise as the result of constructing comparison systems for complex systems [5,9,10].…”

Section: Introductionmentioning

confidence: 99%

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On Diagonal Stability of Positive Systems with Switches and Delays

Aleksandrov

Mason

2018

Autom Remote Control

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We consider linear positive systems with delay and switchings of operation modes. We establish conditions under which it is possible to construct a common Lyapunov-Krasovskii diagonal functional for the family of subsystems corresponding to the system with switchings in consideration. These conditions are formulated in terms of the feasibility of auxiliary systems of linear algebraic inequalities. In addition, we study the problem of the existence of a diagonal functional of a special form. We also show that our results can be used to analyze the stability of some classes of nonlinear positive systems with delay.

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“…. , N}, and let us differentiate the functional (8) with respect to the sth subsystem of the family (10). We geṫ…”

Section: Resultsmentioning

confidence: 99%

“…is the general diagonal Lyapunov function for the corresponding family (11). At the same time, it is easy to show that family (10) has no diagonal Lyapunov-Krasovskii functional (8).…”

Section: Sufficient Conditions For Diagonal Stabilitymentioning

confidence: 99%

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On Diagonal Stability of Positive Systems with Switches and Delays

Aleksandrov

Mason

2018

Autom Remote Control

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“…MCCS can also be classified as large-scale system. A natural approach to study MCCS proposed in [1] takes into account its structure and the dynamics of subsystems, and considers the connections between subsystems as "action is equal to reaction".…”

Section: Resultsmentioning

confidence: 99%

“…The concept of MCCS was introduced in [1]. Among the characteristic features of the MCCS there are: multi-level hierarchical structure, various modes of functioning, nonlinearity, high order.…”

Section: The Model Containing Coupled Subsystems (Mccs)mentioning

confidence: 99%

On the model containing coupled subsystems

Тхай¹,

Barabanov²

2014

Sci Publ State Univ Novi Pazar Ser A

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Abstract:The model containing coupled subsystems (MCCS), which decouples into independent subsystems as the coupling vanishes, is considered. The subsystems of the MCCS are described by autonomous systems of ordinary differential equations. Each subsystem is supposed to admit a single parameter family of periodic motions. The general characteristics of the MCCS are presented. Some problems concerning the MCCS are stated, i.e. the problems of oscillations existence, bifurcations, stability, stabilization, and resonance. The classification of MCCS is proposed, the currently investigated classes of MCCS are announced. One class of MCCS is studied in detail, the corresponding results are presented.

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Periodic motions of a perturbed reversible mechanical system

Тхай¹

2015

Journal of Applied Mathematics and Mechanics

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Model with coupled subsystems

Cited by 25 publications

References 4 publications

On Diagonal Stability of Positive Systems with Switches and Delays

On Diagonal Stability of Positive Systems with Switches and Delays

On the model containing coupled subsystems

Periodic motions of a perturbed reversible mechanical system

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