A5075446052- Stability and Control of Uncertain Systems
- Advanced Differential Equations and Dynamical Systems
- Quantum chaos and dynamical systems
- Matrix Theory and Algorithms
- Control and Stability of Dynamical Systems
- Numerical methods for differential equations
- Polynomial and algebraic computation
Hellenic Mediterranean University
2022-2024
In this article, we generalize previously reported results for linear, time-invariant, stabilizable multivariable systems described by a <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">strictly</i> proper transfer function matrix <inline-formula xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$P(s)$</tex-math></inline-formula> with number of outputs greater than or equal to the inputs. By making use special kind left...
This work introduces analytical tools for investigating stability regions of parametric polynomials. Our approach extends the classical D-decomposition method to accommodate any number parameters, whether linearly or non-linearly involved in coefficients a polynomial ψ. Through Hermite's method, we establish existence within parameter space, where all roots ψ reside exclusively closed left half complex plane, defining boundary. To identify points region, employ quotient and remainder from...
In this paper we prove that stabilisability is a static output feedback (SOF) invariant, for scalar and multivariable systems. Then examine stabilisability, from an invariant viewpoint. We the signature of Hermite’s Bezoutian constant within certain intervals call critical, give very simple algebraic criterion, consisted finite number stability checks, one each critical interval. establish validity criterion with Routh, Hurwitz Lyapunov methods. winding Nyquist plot around points real axis,...
AbstractIn this paper, we examine the problems of existence and computation proper stable stabilising compensators in feedback path a special class linear time-invariant multivariable systems characterised by strictly transfer function matrix. For that are 'square', i.e. have same number inputs outputs no zeros closed right half complex plane 'non-square' include 'square' subsystem has present sufficient condition for (pole placing) which certain cases depend on matrix system can be chosen...