Box invariance in biologically-inspired dynamical systems

DOI10.1016/j.automatica.2009.02.028zbMath1197.34088OpenAlexW2138051984MaRDI QIDQ963961

Shankar S. Sastry, Alessandro Abate, Ashish Kumar Tiwari

Publication date: 14 April 2010

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.02.028

zbMATH Keywords

invariant setsnonquadratic Lyapunov functionspositive invariancebiological systemsswitched and hybrid systems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) General biology and biomathematics (92B05) Hybrid systems of ordinary differential equations (34A38)

Related Items (34)

A mathematical study to control visceral leishmaniasis: an application to South Sudan ⋮ Modeling the spread of Zika virus in a stage-structured population: effect of sexual transmission ⋮ Dengue disease, basic reproduction number and control ⋮ BISTABILITY, GENERALIZED AND ZERO-HOPF BIFURCATIONS IN A PEST CONTROL MODEL WITH FARMING AWARENESS ⋮ Robust controlled invariance for monotone systems: application to ventilation regulation in buildings ⋮ Computing the structural influence matrix for biological systems ⋮ MODELING THE CONTROL OF BACTERIAL DISEASE BY SOCIAL MEDIA ADVERTISEMENTS: EFFECTS OF AWARENESS AND SANITATION ⋮ Transmission dynamics of a Brucellosis model with incubation period ⋮ Structural analysis in biology: a control-theoretic approach ⋮ Effects of incubation and gestation periods in a prey-predator model with infection in prey ⋮ A nonautonomous model for the effect of environmental toxins on plankton dynamics ⋮ Computation of polytopic invariants for polynomial dynamical systems using linear programming ⋮ Harvesting in a toxicated intraguild delayed fishery model with variable carrying capacity ⋮ ROLE OF SPACE IN AN ECO-EPIDEMIC PREDATOR-PREY SYSTEM WITH THE EFFECT OF FEAR AND SELECTIVE PREDATION ⋮ Modeling the influence of vaccination coverage on the dynamics of COVID‐19 pandemic with the effect of environmental contamination ⋮ A mathematical model for the impact of disinfectants on the control of bacterial diseases ⋮ Zoonotic MERS-CoV transmission: modeling, backward bifurcation and optimal control analysis ⋮ Characterization, verification and computation of robust controlled invariants for monotone dynamical systems ⋮ Impact of Hygiene, Famine and Environment on Transmission and Spread of Cholera ⋮ Decentralized abstractions for multi-agent systems under coupled constraints ⋮ Effect of active case finding on dengue control: implications from a mathematical model ⋮ Understanding deadlock and livelock behaviors in hybrid control systems ⋮ Modeling the impact of seasonal weather variations on the infectiology of brucellosis ⋮ A mathematical study to control Guinea worm disease: a case study on Chad ⋮ Observability analysis of conewise linear systems via directional derivative and positive invariance techniques ⋮ A topological method for finding invariant sets of continuous systems ⋮ Automated and formal synthesis of neural barrier certificates for dynamical models ⋮ HUMAN POPULATION EFFECTS ON THE ULSOOR LAKE FISH SURVIVAL ⋮ Finite horizon discrete models for multi-agent control systems with coupled dynamics ⋮ Analysis for transmission of dengue disease with different class of human population ⋮ A Mathematical Model for the Effects of Nitrogen and Phosphorus on Algal Blooms ⋮ Abstractions of Varying Decentralization Degree for Reachability of Coupled Multiagent Systems ⋮ Feasibility checking in Horn constraint systems through a reduction based approach ⋮ Michaelis-Menten networks are structurally stable

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The P-matrix problem is co-NP-complete
• Switching in systems and control
• Set invariance in control
• Lagrange stability and boundedness of discrete event systems
• Fourier-Motzkin elimination and its dual
• Componentwise asymptotic stability of linear constant dynamical systems
• Generating Box Invariants
• Vector norms as Lyapunov functions for linear systems
• Further comments on "Vector norms as Lyapunov functions for linear systems"
• Dynamical properties of hybrid automata
• Hybrid Systems: Computation and Control
• Hybrid Systems: Computation and Control
• Hybrid Systems: Computation and Control
• Global qualitative description of a class of nonlinear dynamical systems

This page was built for publication: Box invariance in biologically-inspired dynamical systems